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    SEMINAR REPORT

    ON

    HEAT PIPE HEAT EXCHANGER WITH LATENT HEAT STORAGE

    Presented by

    SENTHIL.R (M070196ME)

    THERMAL SCIENCES

    Department of Mechanical Engineering

    NATIONAL INSTITUTE OF TECHNOLOGY CALICUT

    CALICUT -673601, KERALAWINTER 2007-08

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    CERTIFICATE

    This is to certify that this seminar report entitled Heat pipe heat exchanger

    with latent heat storage is a bonafide record of the seminar presented by

    SENTHIL .R, Reg. No M070196ME during the winter semester 2007-2008 in

    partial fulfillment of the requirement for the award of M. Tech degree in

    Mechanical Engineering by the National Institute of Technology, Calicut.

    Faculty in charge of Seminar

    Dr.A.Ramaraju Dr. C.B.Sobhan

    Professor Professor

    Department Of Mechanical Engineering

    National Institute Of Technology, Calicut

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    ACKNOWLEDGEMENT

    I would like to express my sincere gratitude to the faculty of The

    Department of Mechanical Engineering for their kind cooperation to my seminar

    topic. I especially express my gratitude to Dr.A.Ramaraju and Dr. C.B.Sobhan

    for their able guidance on the subject.

    I also wish to thank all my friends for their kind co-operation

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    CONTENTS

    PAGE NO:

    ABSTRACT 4

    1. INTRODUCTION 6

    2. ENERGY STORAGE METHODS 6

    3. PHASE CHANGE MATERIALS 9

    4. EXPERIMENTAL PROCEDURE AND SETUP 15

    5. RESULTS AND DISCUSSIONS 16

    5.1. Charging only operation performance 16

    5.2. Discharging only operation performance 25

    5.3. Simultaneous charging/discharging performance 30

    6. CONCLUSION 31

    REFERENCES 32

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    ABSTRACT

    A new thermal storage system, a heat pipe heat exchanger with latent heat storage, isdiscussed. The new thermal system, a heat exchanger which have a bunch of heat pipes, have a

    provision for energy storage and may operate in three basic different operation modes, the

    charging only, the discharging only and the simultaneous charging/discharging modes, which

    makes the system suitable for various time and/or weather dependent energy systems. In this

    section, the basic structure, the working principle and the design concept are briefly discussed.

    An brief introduction about the phase change materials, which stores thermal energy as latent

    heat, were also discussed. Extensive experimental results are presented of the charging only and

    discharging only operations and the effects of the inlet temperature and the flow rate of the cold/

    hot water were also discussed. The results show that the heat exchanger performs the designed

    functions very well and can both store and release the thermal energy efficiently.

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    Nomenclature

    mc Mass of cold fluid in kg.

    mh Mass of hot fluid in kg.

    Cp Specific heat of the fluid.

    Ti Initial temperature of the fluid

    Tf Final temperature of the fluid

    Tm Melting point of PCMQ Amount of heat transfer

    Th Temperature of hot fluidTc Temperature of cold fluid

    T pcm Temperature of PCM

    h m Change in enthalpy of the medium

    ar Fraction of PCM melted

    Rw Thermal conduction resistance of the heat pipe wall

    Rhh Convection resistance between the hot water and the heat pipe wall

    Rhc Convection resistance between the heat pipe wall and the cold water

    RHP Axial thermal resistance of the heat pipe

    Rfh Thermal resistance between the heat pipe and the working fluid in hot fluid

    Rch Thermal resistance between the heat pipe and the working fluid in cold fluid

    Rh Resistance on hot fluid side

    Rc Resistance on cold fluid side

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    1.INTRODUCTION

    The storage of energy in suitable forms, which can conventionally be converted into the required

    form, is a present day challenge to the technologists. Energy storage not only reduces the

    mismatch between supply and demand but also improves the performance and reliability of

    energy systems and plays an important role in conserving the energy. It leads to saving of

    premium fuels and makes the system more cost effective by reducing the wastage of energy and

    capital cost. For example, storage would improve the performance of a power generation plant

    by load leveling and higher efficiency would lead to energy conservation and lesser generation

    cost. Latent thermal energy storage system that could be used for smoothing daily load profiles

    consisted of narrow vertical parallel plates of PCM separated by rectangular flow passages. In

    order to enhance the heat transfer process between the PCM and the working fluid, variouscapsules packed bed latent heat storage systems have also been proposed.

    2. ENERGY STORAGE METHODS

    Types of energy storage methods are given below.

    The different forms of energy that can be stored include mechanical, electrical and

    thermal energy. One of prospective techniques of storing thermal energy is the application of

    phase change materials (PCMs). The use of a latent heat storage system using phase change

    materials (PCMs) is an effective way of storing thermal energy and has the advantages of high-

    energy storage density and the isothermal nature of the storage process.

    2.1. Mechanical energy storage

    Mechanical energy storage systems include gravitational energy storage or pumped hydropower

    storage (PHPS), compressed air energy storage (CAES) and flywheels. The PHPS and CAES

    technologies can be used for large-scale utility energy storage while flywheels are more suitablefor intermediate storage. Storage is carried out when inexpensive off-peak power is available,

    e.g., at night or weekends. The storage is discharged when power is needed because of

    insufficient supply from the base-load plant.

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    2.2. Electrical storage

    Energy storage through batteries is an option for storing the electrical energy. A battery is

    charged, by connecting it to a source of direct electric current and when it is discharged, the

    stored chemical energy is converted into electrical energy. Potential applications of batteries are

    utilization of off-peak power, load leveling, and storage of electrical energy generated by wind

    turbine or photovoltaic plants. The most common type of storage batteries is the lead acid and

    NiCd.

    2.3. Thermal energy storage

    Thermal energy storage can be stored as a change in internal energy of a material as sensible

    heat, latent heat and thermochemical or combination of these. An overview of major technique of

    storage of solar thermal energy is shown in Fig. 1 .

    Fig. 1. Different types of thermal energy storage .

    2.3.1. Sensible heat storage: In sensible heat storage (SHS), thermal energy is stored by raising

    the temperature of a solid or liquid. SHS system utilizes the heat capacity and the change in

    temperature of the material during the process. The amount of heat stored depends on the

    specific heat of the medium, the temperature change and the amount of storage material.

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    Amount of heat energy stored is given by, Q = mCp(Tf - Ti)

    The sensible heat storage capacity of some selected solidliquid materials is shown in Table 1 .

    Table 1: list of solidliquid materials for sensible heat storage

    2.3.2. Latent heat storage: Latent heat storage (LHS) is based on the heat absorption or release

    when a storage material undergoes a phase change from solid to liquid or liquid to gas or vice

    versa. The storage capacity of the LHS system with a PCM(Phase Change Material) medium is

    given by

    Q = m[C sp(Tm - Ti) + a mh m + C lp(Tf - Tm)]

    2.4. Thermochemical energy storage .

    Thermochemical systems rely on the energy absorbed and released in breaking and reforming

    molecular bonds in a completely reversible chemical reaction. In this case, the heat stored

    depends on the amount of storage material, the endothermic heat of reaction, and the extent of

    conversion.

    Q = a r m hr

    Amongst above thermal heat storage techniques, latent heat thermal energy storage is

    particularly attractive due to its ability to provide high-energy storage density and itscharacteristics to store heat at constant temperature corresponding to the phase-transition

    temperature of phase change material (PCM). Phase change can be in the following form: solid

    solid, solidliquid, solidgas, liquidgas and vice versa.

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    In solidsolid transitions, heat is stored as the material is transformed from one

    crystalline to another. These transitions generally have small latent heat and small volume

    changes than solid liquid transitions. Solidsolid PCMs offer the advantages of less stringent

    container requirements and greater design flexibility. Solidgas and liquidgas transition through

    have higher latent heat of phase transition but their large volume changes on phase transition are

    associated with the containment problems and rule out their potential utility in thermal-storage

    systems. Large changes in volume make the system complex and impractical. Solidliquid

    transformations have comparatively smaller latent heat than liquidgas. However, these

    transformations involve only a small change in volume. Solidliquid transitions have proved to

    be economically attractive for use in thermal energy storage systems. PCMs themselves cannot

    be used as heat transfer medium. A separate heat transfer medium must me employed to transfer

    energy with heat exchanger between one fluid and the PCM. The heat exchanger to be used hasto be designed specially, in view of the low thermal diffusivity of PCMs and volume changes.

    Any latent heat energy storage system therefore, possess at least following three

    components:

    (i) a suitable PCM with its melting point in the desired temperature range,

    (ii) a suitable heat exchange surface, and

    (iii) a suitable container compatible with the PCM.

    The development of a latent heat thermal energy storage system hence, involves the

    understanding of three essential subjects: phase change materials, containers materials and heat

    exchangers.

    3. PHASE CHANGE MATERIALS

    Phase change materials (PCM) are Latent heat storage materials. The thermal energy transfer occurs when a material changes from solid to liquid, or liquid to solid. This is calleda change in

    state, or Phase. Initially, these solidliquid PCMs perform like conventional storage

    materials, their temperature rises as they absorb heat. Unlike conventional (sensible) storage

    materials, PCM absorbs and release heat at a nearly constant temperature. They store 514 times

    more heat per unit volume than sensible storage materials such as water, masonry, or rock. A

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    large number of PCMs are known to melt with a heat of fusion in any required range. However,

    for their employment as latent heat storage materials these materials must exhibit certain

    desirable thermodynamic, kinetic and chemical properties which are as follows:

    3.1. Thermal properties

    (i) Suitable phase-transition temperature.

    (ii) High latent heat of transition.

    (iii) Good heat transfer.

    Selecting a PCM for a particular application, the operating temperature of the heating or

    cooling should be matched to the transition temperature of the PCM. The latent heat should be as

    high as possible, especially on a volumetric basis, to minimize the physical size of the heat store.

    High thermal conductivity would assist the charging and discharging of the energy storage.

    3.2. Physical properties

    (i) Favorable phase equilibrium.

    (ii) High density.

    (iii) Small volume change.

    (iv) Low vapor pressure.

    Phase stability during freezing melting would help towards setting heat storage and high

    density is desirable to allow a smaller size of storage container. Small volume changes on phasetransformation and small vapor pressure at operating temperatures to reduce the containment

    problem.

    3.3. Kinetic properties

    (i) No supercooling.

    (ii) Sufficient crystallization rate.

    3.4. Chemical properties(i) Long-term chemical stability.

    (ii) Compatibility with materials of construction.

    (iii) No toxicity.

    (iv) No fire hazard.

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    3.5. Economics

    (i) Abundant.

    (ii) Available.

    (iii) Cost effective.

    Low cost and large-scale availability of the phase change materials is also very important.

    Some popular phase change materials are given below.

    Table 2 : List of phase change materials and their properties

    One major issue that needs to be addressed is that most phase-change materials (PCM)

    with high energy storage density have an unacceptably low thermal conductivity and hence heat

    transfer enhancement techniques are required for any latent heat thermal storage (LHTS)

    applications. To increase the heat transfer rate in the heat exchanger, between the fluid and PCM,

    it uses a set of heat pipes. This equipment is what we call as heat pipe heat exchanger.

    In a latent heat thermal storage (LHTS) system, during phase change the solidliquid

    interface moves away from the heat transfer surface. During this process, the surface heat flux

    decreases due to the increasing thermal resistance of the growing layer of the molten/ solidified

    medium. In the case of solidification, conduction is the sole transport mechanism, and in the case

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    of melting, natural convection occurs in the melt layer and this generally increases the heat

    transfer rate compared to the solidification process. This decrease of the heat transfer rate calls

    for the usage of proper heat transfer enhancement techniques in the LHTS systems. So some fins

    are attached to the surface of the heat pipe.

    A new thermal storage system, a heat pipe heat exchanger with latent heat storage system

    may operate in three basic different operation modes, the charging only, the discharging only and

    the simultaneous charging/discharging modes, which makes the system suitable for various time

    dependent energy systems.Latent TES is receiving more and more attention because of its large

    energy storage density and the significant reduction in storage volume and, most importantly, the

    isothermal behavior during the charging and discharging process compared with sensible heat

    storage systems. Hence, latent thermal energy storage is widely used in the conversion andutilization of renewable energies, and in various heat recovery systems. we can see, all these

    latent thermal energy storage devices use the wall of the heat transfer fluid passage as the heat

    transfer surface of the PCM. This means the heat transfer area on the PCM side is completely

    determined by the heat transfer area on the working fluid side, although these two heat transfer

    areas may not be equal. However, as we know, most PCMs are poor heat conduction media, and

    therefore, the dominant thermal resistances in the heat transfer process between the PCM and the

    working fluid is on the PCM side. Therefore, according to heat transfer theory, the most efficient

    way for improving the heat transfer process is to enhance the heat transfer on the PCM side.

    Various methods for PCM thermal conductivity enhancement have been proposed and studied by

    many researchers. Some of the most common methods are attaching fins to heat transfer walls,

    dispersing metal particles or rings or carbon fibers of high conductivity into PCMs, etc.

    However, the most direct and also the most efficient way is to increase the heat transfer area on

    the PCM side. This is usually impossible or results in a large increase in the pressure drop of the

    working fluid and a large decrease in the effective PCM storage volume for conventional latent

    thermal energy storage systems due to the increased length of the flow passages of the workingfluid. This difficulty may be removed by introducing heat pipes with longitudinal into the

    thermal energy storage unit.

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    A heat pipe heat exchanger with latent heat thermal storage has many advantages over the

    above mentioned conventional devices. Because the heat transfer areas on the hot fluid side, the

    cold fluid side and the PCM side can be designed independently, the PCM side heat transfer area

    can be set at any desired value, at least theoretically. This is one of the most important features of

    the heat pipe heat exchanger with latent heat thermal energy storage.

    Fig. 2. A heat pipe heat exchanger with latent heat thermal storage

    Fig. 2 presents the systematic configuration of a heat pipe heat exchanger with latent heat

    thermal storage. The heat exchanger consists mainly of four parts. The hot fluid flow passage (6),

    the PCM chamber (7) and the cold fluid flow passage (5) are connected by a number of heat

    pipes (3). The phase change material (8) is stored in the PCM chamber. In order to enhance the

    heat transfer process, annular fins made of pure copper are attached to the heat pipes. As one can

    see from the figure, the sizes of the hot fluid flow passage, the PCM chamber and the cold fluid

    passage can be designed independently, which presents one of the major advantages over other latent heat thermal storage systems.

    The charging only mode is where the hot fluid flows through the hot fluid flow passage,

    the heat is transferred through the heat pipes to the PCM to melt the PCM and the energy is

    stored in the PCM as the latent and/or sensible heat. Under this operation mode, the evaporation

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    section of the heat pipes is the part in the hot fluid flow passage, and the condensation section is

    the part in the PCM chamber. The discharging only mode is where the cold fluid flows through

    the cold fluid flow passage and receives the heat that is extracted from the PCM by the heat

    pipes. Under this operation mode, the evaporation section of the heat pipes is the part in the PCM

    chamber, and the condensation section is the part in the cold fluid flow passage. The

    simultaneous charging and discharging mode is where both the hot and cold fluids flow through

    their corresponding flow passages. There are two possible sub-operation modes under this mode:

    Fluid to fluid heat transfer with discharging heat from the PCM is when both the hot fluid and

    the PCM release heat to the cold fluid. Under this mode, both parts of the heat pipes, that in the

    hot fluid flow passage and that in the PCM chamber, may play the role of the evaporator of the

    heat pipes, and the part of the heat pipes in the cold fluid flow passage is the condenser. Fluid to

    fluid heat transfer with charging heat to the PCM is when the hot fluid releases heat to both thecold fluid and the PCM. Under this mode, both parts of the heat pipes, that in the cold fluid flow

    passage and that in the PCM chamber, act as the heat pipe condenser, and the part of the heat

    pipes in the hot fluid flow passage is the heat pipe evaporator. In addition, there is still another

    possible operation mode theoretically in which the state of the PCM is unchanged, and the heat

    released from the hot fluid is all transferred to the cold fluid through the heat pipes.

    In order to study the performance of this kind of heat pipe exchangers and its feasibility,

    we considered heat exchanger of dimensions 1000 x 500 x 120 mm. Five gravity heat pipes run

    through the hot fluid flow passage, the PCM chamber and the cold fluid flow passage. The heat

    pipes are 28 mm in external diameter and 950 mm in length and are made of pure copper. The

    working fluid of the heat pipes is acetone. Because of the variable evaporator size that is needed

    for realizing the functions of the heat exchanger, the amount of working fluid is much bigger

    than that in conventional heat pipes. In order to enhance the heat transfer processes,

    circumferential copper fins 27 mm long and 0.4 mm thick are used for the PCM chamber, and

    the same fins with a length of 14 mm are used for the hot and cold passages. The fin pitch is 5mm. Fig. 3 depicts the dimensions of the heat exchanger and the locations of the thermocouples

    in the PCM. The PCM used is an industrial paraffin wax. The melting point is 52.1 0C, and the

    latent heat is 132.4 kJ/kg. The quantity of PCM used in the heat exchanger is 25.1 kg, and thus,

    the estimated energy storage in the form of latent heat is about 3300 kJ.

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    Fig.3. Dimensions of the heat pipe heat exchanger and the thermocouple distribution in thePCM.

    4. EXPERIMENTAL SETUP AND PROECDURE

    In order to evaluate the performance of our heat pipe heat exchanger with latent heat storage, an

    experimental system was set up, as shown in Fig. 4 . The system consists of the heat pipe heat

    exchanger (2), a low temperature bath (10) that can provide water of a temperature as low as50C, a high temperature bath (1) that can provide water of a temperature as high as 95 0C, a HP

    34970A data logger (3), two LZB-15 flow meters (5), a personal computer (4), two circulation

    pumps (8) and several valves (6) that are used for controlling the flow rate and direction. There

    are 48 T-type thermocouples (7) in total. To measure the water temperatures at the outlets and

    the inlets of the heat exchanger, 2 thermocouples are used. Forty thermocouples are used to

    measure the temperature distribution of the PCM. Their locations are given in Fig. 3 . In Fig. 3 (a),

    the horizontal locations of the five thermocouples that are at the same vertical position are 14,

    31, 41, 48 and 55 mm from the axis line of the heat pipe, the vertical locations are the same as

    that indicated in Fig. 3 (b). Allthe pipings in the experimental system are well insulated by

    applying a porous polythene insulator of a thickness of 80 mm.

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    Fig. 4. Schematic diagram of the experimental system .

    Prior to starting the charging, discharging or charging/discharging experiments of the

    heat exchanger, the PCM in the PCM chamber is heated or cooled by circulating the cold water

    or the hot water to the desired uniform temperature. After that, the charging only experiments

    were started by turning off the cold water loop (the cold water flow passage was also emptied)

    and turning on the hot water loop. The discharging only experiments were started by turning off

    the hot water loop (the hot water flow passage was also emptied) and turning on the cold water

    loop. The simultaneous charging and discharging experiments were realized by turning on both

    the hot and cold water loop. The experiments were performed with different inlet temperatures

    and different flowrates of the circulation water and the performance of heat pipe heat exchanger

    is analyzed here.

    5. REULTS AND DISCUSSIONS

    5.1. Charging only operation performance

    5.1.1. Performance of the heat pipes

    Although the heat pipes used in the unit have the same structure and working principles as

    conventional heat pipes, their operation modes are quite different from the conventional ones.

    They have much more working fluid than the conventional heat pipes, and the evaporation and

    condensation areas are variable according to their applied working conditions. Therefore, it is of

    basic importance to make sure that these heat pipes do work and provide the functions for which

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    they are designed. The experiments shows that the heat pipes used in our heat exchangers can

    function properly and effectively. Fig. 5 depicts the measured wall temperature variation of the

    heat pipe with time with a hot water flow rate of 3.33 kg/min and a hot water inlet temperature of

    800C, and Fig. 6 presents the heat pipe wall temperature distribution along the axial direction of

    the heat pipe at different times.

    Fig.5. Heat pipe wall temperature variation with time at different vertical positions z = 140, 280,

    420, 560 and 720 mm at 14 mm from the axis of the heat pipe.

    Fig.6. Wall temperature profile along the heat pipe length at various times.

    Charging only mode: TPCM,0 = 28.5 0C, Th = 80 0C, mh = 3.33 kg/min.

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    From these two figures, we can see that during the early stage of the charging process of

    the heat exchanger, the heat transferred from the hot water to the heat pipe evaporator is mainly

    used to heat the walls of the heat pipes and, thus, to raise the temperature of the heat pipes, which

    explains the rapid raise of the heat pipe wall temperature during this period. However, as soon as

    the wall temperature is higher than the PCM temperature, some of the heat is transferred to heat

    the PCM that surrounds the heat pipe, and this part of the heat increases with the heat pipe wall

    temperature. Therefore, the wall temperature increase rate slows as the process continues.

    Actually, the wall temperature approaches a constant as soon as the preheating period of the

    PCM (from its initial temperature of 28.5 0C to its melting point) ends and melting starts. It

    should also be noted that during the whole process, the temperature difference across the length

    of the heat pipe is very small, usually less than 1 0C, which is the typical characteristic of heat

    pipes and proves its excellent temperature leveling ability and fast transient thermal response.

    5.1.2. Melting curves and phase change interfaces

    Fig. 7 is one group of the typical melting curves at different radial positions. During the initial

    period of heating, the PCM absorbs and stores the energy transferred by the heat pipe from the

    hot water in the form of sensible heat. This heat is used to raise the temperature of the PCM

    gradually to its melting point. As soon as TC6 (the wall temperature of the heat pipe) is higher

    than the melting point, the melting process starts. Before melting takes place, the heat transfer

    through the PCM is pure conduction, and the temperature increases almost linearly with time.

    Because of the low thermal conductivity of the PCM, the temperature near the heat pipe

    increases very quickly. However, after the temperature of the PCM reaches its melting point and

    the melting process starts, the temperature increase rate of the PCM is significantly slowed. The

    heat absorbed by the phase change interface is equal to the energy stored as latent heat plus the

    heat transferred to its neighbor region. It is this mechanism that causes the different trends of

    temperature variations at the different locations. For instance, the temperature of thermocouple

    TC10 almost increases linearly with time during the whole process, which is quite different fromTC6 that has an apparent constant temperature period. This is because TC10 is located at the

    symmetrical position of the two neighboring heat pipes, which is an adiabatic surface.

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    Fig. 7. PCM temperature versus time at the different radial positions from the axis of the heat pipe at z = 140 mm. Charging only mode: TPCM,0 = 28.4 0C, Th = 80.1 0C, mh = 2.50 kg/min.

    Therefore, the heat transferred from the inner side to it is all stored and, thus, raises its

    temperature. TC7 is the only thermocouple that is located in the region of the fins. From Fig. 6 ,

    one can see the temperature difference between TC6 and TC7 is much smaller than the

    temperature difference of the other thermocouples. This proves that the fins attached to the heat

    pipe enhanced the heat transfer process between the heat pipe and the PCM effectively.

    Fig. 8. Temperature distribution of the PCM at 90 min. Charging only mode: TPCM,0 = 28.4 0C,

    Th = 80.1 0C, mh = 2.50 kg/min.

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    Fig. 8 shows the temperature distribution of the PCM at 90 min under the experimental

    conditions of a hot water inlet temperature of 80.1 0C, a hot water flow rate of 2.5 kg/min and the

    initial PCM temperature of 28.4 0C. From this figure, we can find that the temperature variation

    along the axial direction of the heat pipe is much smaller than that along the radial direction,

    which again proves that the heat pipe has a very good temperature leveling ability and a very

    small thermal resistance in the axial direction. It can also be seen from the figure that within the

    influence region of the fins, the temperature profile is much more uniform than in the other

    region, both in the radial and the axial directions, the slopes of the temperature surface along the

    radial direction and the axial direction between r = 14 and 31 mm are much smaller than that of

    the other regions. This again proves that the fins are effective in enhancing the heat transfer

    process.

    Fig. 9. Phase interface position at different times. Charging only mode:

    TPCM,0 = 28.5 0C, Th = 80 0C, mh = 3.33 kg/min.

    Fig. 9 depicts the liquidsolid interfaces at various times. Using linear interpolation, theinterface position is deduced from the temperature measurements on the assumption that the

    phase change takes place at a single melting temperature (52.1 0C). The shape of these liquid

    solid interfaces generally agrees with our common knowledge: the region that is near the hot

    water passage (larger z region) melts faster than the region far away from the hot water passage

    (smaller z region). It can also be seen from Fig. that the distance in the radial direction between

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    any two neighboring interfaces generally decreases with r. Since the time intervals between any

    two neighboring interfaces are equal, therefore, this fact proves that the interface migration

    velocity decreases with r and, thus, with time. This, in reality, reflects the fact that as the process

    proceeds, the melted region increases and so does the radius of the melted region around the heat

    pipe. The same increment of melted region in the r direction at larger r needs more PCM to be

    melted than at smaller r. Actually, by applying a simple energy balance analysis to the melting

    front, one can prove that the interface migration velocity is simply in inverse proportion to r if a

    constant heating power is presumed. Therefore, the reduction in the interface migration velocity

    mainly results from this geometrical effect, and hence, although the PCM melting rate should

    decrease with time due to the decrease of the temperature difference between the heat pipe wall

    temperature and the PCM, this reduction should be smaller than that in the interface migration

    velocity.

    5.1.3. Influence of the hot water inlet temperature

    As one may expect, the hot water inlet temperature should have a very strong influence on the

    charging operation processes. Therefore, a large number of experiments were conducted to study

    this influence.

    Fig. 10. Influences of the hot water inlet temperature on the charging only process:

    (At TC6, TPCM,0 = 28.3 0C, mh = 2.50 kg/min).

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    Figs. 10 and 11 summarize some of the typical results and depict the influences of the

    hot water inlet temperature on the history of the heat pipe wall temperature and on the PCM

    temperature variation, respectively. It is shown from these figures that the inlet temperature of

    the hot water has a very strong and direct influence. This is because, under the same initial

    temperature and flow rate conditions, the overall heat transfer coefficient from the hot water to

    the PCMis basically a constant, and therefore, the heat flow from the hot water to the PCM (via

    the heat pipes) is directly proportional to the temperature difference between the hot water and

    the PCM.

    Fig. 11. Influences of the hot water inlet temperature on the charging only process:

    PCM temperature at TC9 (TPCM,0 = 28.3 0C, mh = 2.50 kg/min).

    Since the initial PCM temperature is the same in these experiments, therefore the heat flow is

    indirect proportion to the inlet temperature of the hot water to a great extent. We may further

    conclude the melting completion time should, thus, also decrease directly with the inlet

    temperature increase. Our experimental results prove this deduction: the time for completion of melting for the inlet temperature of 70 0C is 251 min, for 80 0C, this value is reduced to 149 min

    and for 90 0C, itis only 121 min. The melting completion time of the hot water inlet temperature

    of 90 0C is, thus, only 48% of that of 70 0C, which means a reduction of 52% (note that the initial

    inlet temperature difference, that is, the inlet temperature of the hot water minus the initial PCM

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    temperature was changed from 41.7 to 61.7 0C by increasing the inlet temperature from 70 to

    900C, which means an increase of 48% in the initial temperature difference).

    5.1.4. Influences of the hot water flow rate

    Increasing the hot water flow rate will enhance the heat transfer process between the hot water

    and the wall of the evaporator section of the heat pipe, and therefore, the hot water flow rates

    should also influence the charging processes.

    Fig. 12. Influences of the hot water flow rate on the charging only process:

    heat pipe wall temperature at TC6(TPCM,0 = 28.2 _C, Th = 80.1 _C).

    Fig. 13. Influences of the hot water flow rate on the charging only process:

    PCM temperature at TC9 (TPCM,0 =28.2 _C, Th = 80.1 _C).

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    Figs. 12 and 13 depict the influences of the hot water flow rate on the heat pipe wall

    temperature and on the PCM temperature, respectively. From these two figures, we can see the

    flow rate does produce a significant influence on the process, and both the temperature of the

    heat pipe wall and the temperature of the PCM increase monotonously with the flow rate. As the

    flow rate increases from 0.83 to 3.33 kg/min, the melting completion time is reduced from 189 to

    144 min, which indicates a reduction of 24%. Apparently, compared with the inlet temperature,

    the influences of the flow rate are much weaker. This may be explained as follows. We all know

    from basic heat transfer theory that increasing the flow rate can only improve the convection heat

    transfer between the hot water and the wall of the evaporator section of the heat pipe, and the

    thermal resistance of this convection heat transfer process is less important than the thermal

    conduction resistance of the PCM due to the very small thermal conductivity of the PCM.

    Furthermore, according to convection heat transfer theory, the convection heat transfer coefficient is directly proportional to the nth power of the flow rate, where n is a constant less

    than unity and within 0.4 and 0.8 for our unit under the experimental flow conditions. This also

    contributes to the weak effects of the flow rate on the process.

    From Figs. 12 and 13 , we can also note that the influence of the flow rate is less apparent

    in the initial period than in the longer time period. As has been mentioned earlier, the PCM has a

    small thermal conductivity, and thus, the solid PCM in the initial state should present a very

    large thermal resistance. Therefore, this thermal resistance is the dominant one in the overall heat

    transfer process from the hot water to the PCM. Thus, reducing the less important thermal

    resistance of the convection heat transfer process between the hot water and the heat pipe wall

    will not significantly improve the overall heat transfer process. However, as the process

    proceeds, more and more PCM is melted and natural convection within the melted PCM

    gradually plays a role, and this results in a decrease in the thermal resistance of the PCM. Of

    course, the decrease in the thermal resistance of the PCM increases the relative importance of the

    convection thermal resistance between the heat pipe wall and the hot water in the overall heat

    transfer proc ss, which results in a more apparent influence of the flow rate compared with that in

    the initial period.

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    5.2. Discharging only operation performance

    The discharging only operation experiments were conducted under various conditions. The inlet

    temperature of the cold water was from 10 to 30 0C, and the flow rate of the cold water was from

    0.83 to 3.33 kg/min. As has been already mentioned in the previous section, in order to perform

    the discharging only operation experiments, the PCM was first heated to a given temperature

    (usually well higher than the melting point of the PCM) by circulating the hot water for 3 to 4

    hours. Then, after the PCM reached its given uniform temperature and the whole system was

    steady, the hot water circulation was stopped. As soon as the hot water was evacuated from the

    hot water passage, the cold water was started to circulate in the cold water loop and the

    experiment starts.

    5.2.1. Solidification curves and discharging characteristicsThe discharging only operation is actually a solidification process of the PCM that results from

    the heat pipe cooling. In this operation mode, the section of the heat pipes that is buried in the

    PCM is the evaporator.

    Fig. 14. PCM temperature vs time at different radial positions from the axis of the heat pipe at

    z=140 mm:discharging only mode TPCM,0 = 76 0C,Tc = 17 0C,mc = 1.67 kg/min).

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    Fig. 14 presents a group of typical solidification curves that were obtained in various

    discharging only mode experiments. From this figure, we can see that the PCM was cooled very

    quickly from the liquid to the solid state, and therefore, the mode is a typical solidification

    process. The solidification curves can be divided into three different regions, the initial region,

    the solidification region and the cooling region. In the initial region, the liquid PCM is cooled to

    its melting point, and the heat recovered by the cold water is, therefore, mainly the sensible heat

    of the liquid PCM. Since the sensible heat is much smaller than the latent heat, the decreasing

    rate of the PCM temperature is faster in this period than in the other periods. After that, when

    solidification takes place, the process gets into the second stage, and the temperature of the PCM

    decreases much slower than in the initial period due to the latent heat releasing effect.

    Of course, after the solidification of the PCM is completed, the heat recovered by the cold water

    is again the sensible heat of the PCM, and this certainly speeds up the decreasing of the PCMtemperature.

    It should also be noted that the temperature difference between TC10 and TC6 first

    increases and then decreases with time. To show this more clearly, Fig. 15 depicts the

    temperature profile along the radial direction at various times. At the very beginning of the

    process, the PCM is in the liquid state, and therefore, the effective conductivity of the PCM is

    well enhanced by the natural convection within the PCM. This and the initial uniform

    temperature certainly causes a uniform temperature distribution along the radial direction in the

    early stage of the process. However, as the process proceeds, solidification of the PCM finally

    commences. Solidification of the PCM not only restrains the natural convection but also

    produces a solid PCM layer of low thermal conductivity on the heat pipe. Therefore, the

    temperature gradient in the radial direction increases with time. This tendency continues until the

    process approaches its final steady state as the PCM temperature approaches the cold water

    temperature. After that, the temperature gradient in the radial direction decreases with time,

    which means, as we can understand, that the system will finally acquire its new steady state witha new uniform temperature distribution after a long enough running time.

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    Fig. 15. PCM temperature profiles in the radial direction at the different times. Discharging only

    mode: TPCM,0 =76 _C, Tc = 17 _C, mc = 1.67 kg/min.

    From Fig. 15 , one can see that the temperature profile of the finned region (near the heat

    pipe wall,) in the radial direction is more even than that in the region r > 31 mm. This proves that

    the fins on the heat pipes do enhance the heat transfer process as expected. Fig. 16 displays the

    temperature distribution of the PCM at 60 min, which further proves the effectiveness of the fins

    in enhancing the heat transfer process.

    Fig. 16. Temperature distribution of the PCM at 60 min. Discharging only mode:

    TPCM,0 = 76 _C, Tc = 17 _C,mc = 2.50 kg/min.

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    5.2.2. Influences of the inlet temperature and the flow rate of the cold water.

    As in the charging only operation, the inlet temperature and the flow rate of the cold

    water will affect the performance of the heat pipe heat exchanger. Figs. 17 depicts the influences

    of the cold water inlet temperature on the discharging process.

    Fig. 17. Influences of cold water inlet temperature on the discharging only : heat pipe wall

    temperature atTC6 (TPCM,0 = 75.7 0C, mc = 2.5 kg/min).

    It can be seen from these figures that the inlet temperature of the cold water has an

    important influence. The reason for this is the same as for the charging only operation as it is

    stated in Section 4.1.3. That is, under the same initial temperature and flow rate conditions, the

    overall heat transfer coefficient from the cold water to the PCM is basically a constant, and

    therefore, the heat flow from the PCM to the cold water (via the heat pipes) is directly

    proportional to the temperature difference between the PCM and the cold water temperature.

    Lowering the inlet temperature of the cold water means increasing the temperature difference

    and, therefore, enhances the whole heat transfer process. The solidification completion time

    should, thus, also decrease with decreasing inlet temperature.

    For example, the time for completion of solidification for the inlet temperature of 25 0C is

    155 min, for 17 0C, this value is reduced to 132 min and for 10 0C, it is only 118 min. The

    solidification completion time of the cold water inlet temperature of 10 0C is, thus, only 76% of

    that of 25 0C, which means a reduction of 24% (note that the initial inlet temperature difference,

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    i.e., the initial PCM temperature minus the inlet temperature of the cold water was changed from

    50.7 to 65.7 0C by decreasing the inlet temperature from 25 to 10 0C, which means an increase of

    30% in the initial temperature difference).

    Fig. 18. Influences of the cold water flow rate on the discharging only process: heat pipe wall

    temperature at TC6(TPCM,0 = 75.5 0C, Tc = 25 0C).

    Figs. 18 present the influences of the cold water flow rate on the heat pipe wall temperature and

    on the PCM temperature, respectively. From these two figures, we can see the flow rate also

    produces a certain influence on the process, and both the temperature of the heat pipe wall and

    the temperature of the PCM decrease monotonously with the flow rate. As the flow rate increases

    from 0.83 to 3.33 kg/min, the solidification completion time is reduced from 177 to 146 min,

    which indicates a reduction of 17.5%. It is worthwhile to mention that the influence of the inlet

    temperature and the flow rate is stronger on the charging only process than on the discharging

    only process. This is because of the so called sequence effects of insulation materials1 and the

    restrained natural convection. As time elapses, the natural convection effect is becoming weaker

    in the discharging only mode, whereas this effect is becoming stronger in the charging only

    mode. Furthermore, the PCM that is in solid state has a smaller effective conductivity than that in

    the liquid state. Therefore, the equivalent thermal resistance on the PCM side, which is always

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    the dominant term of the overall thermal resistance of the heat transfer process from the hot or

    cold water to the PCM, is bigger during the discharging only operation than the charging only

    operation. It is due to this increased PCM side thermal resistance of the discharging only

    operation compared with that of the charging only operation that results in its less sensitive

    reaction to the change of the flow rate and the inlet temperature.

    5.3 Simultaneous charging/discharging modes.

    The resistance circuit for Simultaneous charging/discharging modes can be drawn as shown in

    the fig. 19.

    Fig. 19. Equivalent thermal circuit for the heat pipe exchanger with latent heat storage.

    Analyzing the above circuit, we arrive at the condition for classifying whether the given

    simultaneous charging/discharging process is a fluid to fluid heat transfer process with charging

    heat to the PCM or the PCM is releasing heat, and therefore, the process is a fluid to fluid heat

    transfer process with discharging heat from the PCM.

    Where,

    If the above given equation is satisfied then the PCM is receiving heat, and therefore, the

    process is a fluid to fluid heat transfer process with charging heat to the PCM. Otherwise, if

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    equation is not satisfied, then the PCM is releasing heat, and therefore, the process is a fluid to

    fluid heat transfer process with discharging heat from the PCM.

    6. CONCLUSION

    Using heat pipes as the heat transfer elements that run through the hot fluid passage, the PCM

    chamber and the cold fluid passage, a new latent heat thermal storage system has been

    developed. It has many advantages over other thermal energy storage devices. The heat transfer

    surface areas for the hot fluid, for the PCM and for the cold fluid may be designed

    independently, which permits one to enhance the overall heat transfer process more efficiently by

    the rational design of each heat transfer surface. The system can be operated in different modes:

    the charging only, the discharging only and the simultaneous charging/discharging modes. Thismore flexible operation makes it suitable for systems of time and/or weather dependent energy,

    especially solar energy and other renewable energies. The experimental results on the charging

    only mode and the discharging only mode of the system show that the new device performs the

    designed functions very well. It can both store and release the thermal energy efficiently.

    Therefore, the device can be used as a conventional system in which the charging and

    discharging are operated independently. Experimental show that the inlet temperature of the

    cold/hot fluid has a stronger influence on the discharging/charging process than the flow rate.

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    REFERENCES

    1. Zhongliang Liu , Zengyi Wang, Chongfang Ma, An experimental study on heat transfer

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    2. Zhongliang Liu , Zengyi Wang, Chongfang Ma, An experimental study on heat transfer

    characteristics of heat pipe heat exchanger with latent heat storage. Part I: Charging only

    and discharging only modes, Energy Conversion and Management 47 (2006) 967991

    3. Atul Sharma, V. Tyagi, C.R. Chen, D. Buddhi, Review on thermal energy storage

    withphase change materials and applications, Renewable and Sustainable Energy

    Reviews 1 (2007)

    4. H. Hagens , F.L.A. Ganzevles , C.W.M. van der Geld, M.H.M. Grooten , Air heat

    exchangers with long heat pipes: Experiments and predictions, Applied thermal

    engineering,27 (2007) 24262434