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INVESTIGATION OF BIODIESEL FUEL PROPERTIES WITH THE DISPERSION OF CARBON NANOTUBES DINISH S/O THEGARAJU Report submitted in partial fulfillment of the requirements for the award of Bachelor of Mechanical Engineering with Automotive Engineering Faculty of Mechanical Engineering UNIVERSITI MALAYSIA PAHANG JUNE 2012

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  • INVESTIGATION OF BIODIESEL FUEL PROPERTIES WITH THE

    DISPERSION OF CARBON NANOTUBES

    DINISH S/O THEGARAJU

    Report submitted in partial fulfillment of the requirements

    for the award of Bachelor of Mechanical Engineering with Automotive Engineering

    Faculty of Mechanical Engineering

    UNIVERSITI MALAYSIA PAHANG

    JUNE 2012

  • vii

    ABSTRACT

    This project reports on the use of carbon nanotubes as additive.to the biodiesel fuel and

    its effects to the operational characteristics of the fuel The objective of this project is to

    investigate the properties of palm oil biodiesel dispersed with carbon nanotubes in order

    to achieve improved operational characteristics and performance. In this study, the

    tested fuels were prepared by dispersing CNT into the fuels at five different

    concentrations of 0.5 % vol, 1.0 % vol, 1.5 % vol, 2.0 % vol, 2.5 % vol and have their

    properties tested and be compared against standard fuels. Experimental results have

    shown that the thermal conductivities and flash points of the fuels dispersed with CNT

    have increased with higher concentration of CNT. The pour point data have shown

    decremental values when dispersed with CNT at higher concentrations and the

    dispersion of CNT has increased the cetane number and higher heating value of the

    fuels. As a conclusion, dispersion of CNT as additive has improved the properties and

    the operational characteristics of biodiesel fuel and its blends.

  • viii

    ABSTRAK

    Projek ini melaporkan mengenai pengunaan carbon nanotubes sebagai bahan tambahan

    untuk meningkatkan prestasi biodisel kelapa sawit. Objektif projek ini adalah untuk

    menyiasat sifat-sifat biodisel yang ditambah dengan zarah CNT untuk mencapai ciri-ciri

    operasi yang lebih baik. Dalam kajian ini, bahan bakar yang diuji disediakan dengan

    menambah CNT dengan lima kepekatan seperti berikut, 0.5 % vol, 1.0 % vol, 1.5 %

    vol, 2.0 % vol, 2.5 % vol dan sifat-sifatnya diuji dan dibandingkan dengan minyak biasa

    di pasaran. Hasil uji kaji ini menunjukkan bahawa koduktiviti terma dan titik kilat bagi

    biodisel meningkat dengan peningkatan kepekatan CNT. Data titik tuang menunjukkan

    penurunan apabila ditambah dengan CNT dengan kepekatan yang lebih tinggi dan

    penambahan CNT menunjukkan peningkatan dalam nombor cetane dan nilai bakar

    tinggi biodiesel. Sebagai kesimpulan, penambahan CNT sebagai bahan tambahan akan

    meningkatkan sifat-sifat biodisel konvensional dan ciri-ciri operasinya.

  • ix

    TABLE OF CONTENTS

    Page

    TITLE i

    EXAMINER DECLARATION ii

    SUPERVISOR DECLARATION iii

    STUDENT DECLARATION iv

    DEDICATION v

    ACKNOWLEDGEMENT vi

    ABSTARCT vii

    ABSTRAK viii

    TABLE OF CONTENTS ix

    LIST OF TABLES xi

    LIST OF FIGURES xiii

    LIST OF SYMBOLS xv

    LIST OF ABBREVIATIONS xvi

    LIST OF APPENDICES xvii

    CHAPTER 1 INTRODUCTION

    1.1 Project Background 1

    1.2 Problem Statement 2

    1.3 Project Objective 2

    1.4 Project Scope 2

    CHAPTER 2 LITERATURE REVIEW

    2.1 Introduction 4

    2.2 Background of Study 4

    2.3 Biodiesel 5

    2.3.1 Advantages and Disadvantages of Biodiesel 6

    2.4 Biodiesel Production 9

    2.5 Diesel Engine 11

  • x

    2.6 Carbon Nanotube 12

    2.7 Cetane Number 15

    2.8 Viscosity 19

    2.9 Density 20

    2.10 Higher Heating Value 23

    2.11 Flash Point 23

    2.12 Cold Flow Properties 25

    2.13 Thermal Conductivity 25

    2.14 Summary 27

    CHAPTER 3 RESEARCH METHODOLOGY

    3.1 Introduction 29

    3.2 Flow Chart Description 31

    3.2.1 Project Introduction 31

    3.2.2 Literature Study 31

    3.2.3 Sample Preparation 31

    3.2.4 Determination of Key Fuel Properties 33

    3.2.4.1 Higher heating value 33

    3.2.4.2 Cetane number 34

    3.2.4.3 Flash point 35

    3.2.4.4Thermal conductivity 35

    3.2.4.5 Weigh scale 36

    3.2.4.6 Ultrasonication homogenizer 37

    3.2.4.7 Glassware 39

    3.5 Water Bath System 39

    3.5.1 Water Bath System Container Design 40

    3.6 Pour Point 42

    CHAPTER 4 RESULT AND DISCUSSION

    4.1 Introduction 44

    4.2 Analysis of Water Bath System 44

  • xi

    4.2.1 Effect of Stirring on Homogeneity and Temperature 44

    4.3 Thermal Conductivity Analysis 46

    4.4 Flash Point Analysis 50

    4.5 Pour Point Analysis 52

    4.6 Cetane Number Analysis 54

    4.7 Higher Heating Value Analysis 56

    CHAPTER 5 CONCLUSION AND RECOMMENDATION

    5.1 Introduction 59

    5.2 Conclusions 59

    5.3 Recommendations 61

    REFERENCES 63

  • xii

    LIST OF TABLES

    Table No. Title Page

    2.1 Properties of biodiesel and vegetable oil 6

    2.2 Properties of carbon nanotubes and other common materials 14

    2.3 Cetane number of biodiesel esters 17

    2.4 Oxidization effect of methyl esters on cetane number 18

    2.5 Thermal conductivities of various solids and liquids 26

    2.6 Thermal properties of biodiesel and diesel mixtures 27

    3.1 Volume concentration of CNT in biodiesel 32

    3.2 Specification of the weigh scale 37

    4.1 Homogeneity of water temperature with and without stirring effect 45

  • xiii

    LIST OF FIGURES

    Figure No. Title Page

    2.1 Emissions of biodiesel compared with petro-diesel 7

    2.2 A schematic diagram for biodiesel production 10

    2.3 Comparison of fuel prices 10

    2.4 CNT shapes 13

    2.5 Relationship between cetane number and ignition delay 15

    2.6 Relationship between viscosity and methyl ester amount in

    biodiesel fuel 20

    2.7 Relationship between density and methyl ester amount in

    biodiesel fuel 22

    2.8 Relationship between density and temperature of biodiesel 22

    2.9 Relationship between flash point and number of atoms and number

    of double bonds in fuel chains 24

    3.1 Final year project flow chart 30

    3.2 Samples of CNT-biodiesel blends 33

    3.3 Oxygen bomb calorimeter 34

    3.4 Octane meter 34

    3.5 Petrotset machine 35

    3.6 KD2PRO apparatus and the reading probe 36

    3.7 Relationship between particle size and total particle surface 38

    3.8 Scientz ultrasonic homogenizer 39

    3.9 Water Bath Machine 40

    3.10 Sample container holding steel plate with the clamp 41

    3.11 Water bath system water container design 42

    3.12 K46100 pour point and cloud point apparatus 43

  • xiv

    3.13 Sample container containing sample fuel during pour point testing 43

    4.1 Dye dispersion in water without stirring effect 45

    4.2 Dye dispersion in water with stirring effect 46

    4.3 Thermal conductivity of D100 without CNT in relation to

    temperature 47

    4.4 Thermal conductivity of B100 in relation to temperature 48

    4.5 Thermal conductivity of D20 in relation to temperature 48

    4.6 Thermal conductivity of D10 in relation to temperature 49

    4.7 Flash point of fuel blends in relation to various volume

    concentrations of CNT 51

    4.8 Pour point of B100 in relation to various volume

    concentrations of CNT 52

    4.9 Pour point of B20 in relation to various volume

    concentrations of CNT 53

    4.10 Pour point of B10 in relation to various volume

    concentrations of CNT 53

    4.11 Cetane number of fuel blends in relation to various volume

    concentrations of CNT 55

    4.12 Higher heating values of fuel blends in relation to volume

    concentrations of CNT 57

  • xv

    LIST OF SYMBOLS

    % Percentage

    C Degree Celsius

    cm Centimeter

    cP Centipoise

    g Grams

    kg Kilogram

    m Meter

    mm/s Millimeter per Square Second

    Nm Nanometer

    Pa Pascal

    % vol Volume Percentage

    W/m-K Thermal Conductivity

    Density

  • xvi

    LIST OF ABBREVIATIONS

    API American Petroleum Institutes

    ASTM American Standard of Testing Materials

    CNT Carbon Nanotube(s)

    FKM Faculty of Mechanical Engineering

    FTP Federal Test Procedure

    FYP Final Year Project

    SWNTs Single-Walled Nanotubes

    MWNTs Multi-Walled Nanotube

    SAE Society of Automobile Engineers

  • xvii

    LIST OF APPENDICES

    Appendix Title Page

    A1 Gantt chart for Final Year Project 1 66

    A2 Gantt chart for Final Year Project 2 67

    B1 Thermal conductivity of D100 in relation to temperature 68

    Thermal conductivity of B100 in relation to temperature 68

    B2 Thermal conductivity of D20 in relation to temperature 69

    Thermal conductivity of D10 in relation to temperature 69

    C Fuel blends flash point in relation to various volume

    concentration of CNT 70

    D Fuel blends pour point in relation to various volume

    concentration of CNT 71

    E Fuel blends cetane number in relation to various volume

    concentration of CNT 72

    F Fuel blends higher heating value in relation to various volume

    concentrations of CNT 73

  • CHAPTER 1

    INTRODUCTION

    1.1 PROJECT BACKROUND

    The worlds energy demand and supply has been pressurizing the availability of

    crude oil. The dependence on fossil fuel is now in its critical stage as most the logistics

    of the world require crude oil in order to move. The increasing usage of this fossil based

    fuel has a degrading effect on the environment and climate through its polluting

    combustion product. As the demand increases renewable form of fuel that is compatible

    with current diesel engine (compression ignition engine) must be identified and the

    potential candidate is the biodiesel from vegetable oils through transesterification.

    Malaysia is a major producer of vegetable oils such as palm oil and palm oil can be

    converted to biodiesel. Biodiesel has promising properties such as better cetane number,

    flash point and emissions compared to fossil fuels but biodiesels suffer from metal

    corrosion (Fazal et al., 2011) as oxygen content is higher in the fuel. Properties such

    viscosity, higher heating value and cold flow properties are also lower than

    conventional fossil fuel which affects its performance on a diesel engine. Biodiesel is

    completely miscible with diesel allowing blending the fuels in any proportion without

    modification of current engines. CNT is a form of pure carbon arranged in a cylindrical

    shape in nanoscale dimensions and the dispersion in the blended fuel may improve the

    fuel properties and the engine performance to CNT mix ratio in fuels is to be performed.

  • 2

    1.2 PROBLEM STATEMENT

    Biodiesel fuels derived from vegetable oils comparatively have lower heating

    value compared to the diesel due to the excess of oxygen in biodiesel fuels. This reduces

    the amount of power generated when biodiesel is used, and thus increasing fuel

    consumption for the same power generation from a diesel engine. In order to improve

    the properties of the biodiesel, CNT is prepared to be dispersed within the diesel-

    biodiesel fuel mixture in order to produce better fuel performance such as the higher

    heating value and cetane number. Dispersion of CNT will also increase the ratio of

    carbon-oxygen in the fuel, thus improve the properties further. Existing research on the

    CNTs effect on biodiesel fuels has not been fully established

    1.3 PROJECT OBJECTIVE

    For this project, the objectives to be achieved are listed as follows;

    i. To investigate various properties of diesel and biodiesel fuel blends.

    ii. To quantify the effect of CNT dispersion on the properties of diesel and

    biodiesel fuels.

    iii. To develop a water bath system to find the effect of temperature on CNT

    added diesel and biodiesel blends on thermal conductivity.

    1.4 PROJECT SCOPE

    In this study, CNT particles are selected as additive due to their high thermal

    conductivity. It is proposed to determine operational characteristics of biodiesels in

    concentrations of 0.5 % vol, 1.0 % vol, 1.5 % vol, 2.0 % vol and 2.5 % vol. Testing of

    the fuel will be evaluated as per the American Standards of Testing Materials (ASTM).

    The following tests are planned to be conducted.

  • 3

    i. The Cetane number of a fuel is to be measured the quality of the fuel and

    is used to determine the ignition delay of the fuel.

    ii. The Higher heating value is the energy contained by one gram of fuel

    during combustion.

    iii. Thermal Conductivity of biodiesel is to be measured under transient

    conditions. This method of measurement is undertaken by many

    researchers. The measurement of temperature change with time is used in

    the determination of thermal conductivity of biodiesel.

    iv. The Cold flow properties or the pour point is the lowest temperature at

    which no movement of the specimen is observed is to flow out of the

    container under the influence of gravity.

    v. The flash point temperature of biodiesel is the lowest temperature at

    which an ignition source causes the vapors of the biodiesel to ignite

    under specific conditions.

  • CHAPTER 2

    LITERATURE REVIEW

    2.1 INTRODUCTION

    A plethora of experiments and studies were devoted by researchers on fuels and this

    chapter discusses the findings of other researchers publications and by doing so, the

    foundation and development of this project is paved by giving a better understanding of

    fuel properties and its characteristics. The focus of the literature study is on biodiesel and

    the dispersion of CNT as an additive.

    2.2 BACKROUND OF STUDY

    Nanomaterials are now in the forefront of the additive development of fluids

    because of their unique properties and performance increase has been achieved in spark

    ignition engines by dispersing CNT in gasoline in terms of octane number and anti-knock

    properties. Nanomaterials can act as a burning rate catalyst because when dispersed into

    liquids as they accelerate the burning rate and promote clean burning, also particulate

    matters and carbon monoxide are reduced (Kish et al., 2009). Biodiesels are a viable choice

    as a fuel source because it has no aromatics and is 10 % to 20 % more in oxygen content

    and also, biodiesel improves the lubricity which results in longer component life as it does

    not undergo desulfurization unlike common fossil fuel which reduces emission but it loses

    its lubricity. (Alptekin and Canakci., 2008). Ertan also postulated that biodiesel has higher

    cost due to the cost of virgin oil but Malaysia as a producer of vast quantities of palm oil is

    capable of producing cheap oil compared to expensive corn or soy derived biodiesels.

  • 5

    Biodiesel is also nontoxic, renewable, biodegradable and environmentally friendly

    (Verduzco et al., 2011). In addition, unlike oil and gas which have heavy foreign contents,

    palm oil production is virtually 100% local. (Kalam and Masjuki., 2002)

    2.3 BIODIESEL

    The increasing awareness in the deteriorating properties of the ever growing

    emissions and pollutants by combustion and the hike in fossil fuel cost due to its scarcity

    will make biodiesel more acceptable. (Thielemann et al., 2007). Experts computed that

    fossil fuel reserve depletion times for oil, coal and gas is approximately 35, 107 and 37

    years which denotes that coal are available up to 2112 and the existing fossil fuel will

    remain up until 2042. (Shafiee and Topal., 2008). To compensate for the rising energy

    demand and the inevitable fossil fuel depletion, fuels such as biodiesel are in the pinnacle

    alternative technologies as a viable replacement for diesel engines. The methyl ester of

    palm oil, also known as palm oil diesel (POD) which is pure, made of 100% monoalkyl

    ester is called neat fuel and is branded B100. Biodiesel blends can be designated by the

    call sign BXX. The XX denotes the percentage of biodiesel in the blend (i.e., B90

    describes a blend with 90% biodiesel and 10% diesel). . The comparison of properties of

    vegetable oil biodiesel and standard specifications of diesel is given in Table 2.1. (Bajpai

    and Tyagi., 2006). Table 2.1 indicates the properties of biodiesel in terms of kinematic

    viscosity, cetane number, flash point, lower heating value and pour point for common types

    of biodiesel and diesel.

  • 6

    Table 2.1: Properties of biodiesel and vegetable oil

    Vegetable

    oil

    Kinematic

    viscosity at

    38 (C)

    (mm2/s)

    Cetane

    number

    Flash

    point

    (C)

    Lower

    heating

    value

    (MJ/Kg)

    Cloud

    point

    (C)

    Pour

    point

    (C)

    Peanut 4.9 56.4 176 33.6 5 -

    Soybean 4.5 45 178 33.5 1 -7

    Sunflower 3.6 63 127 31.8 4 -

    Palm 5.7 62 164 33.5 13 -

    Diesel 3.06 50 76 43.8 - -16

    20 %

    biodiesel

    blend

    3.2 51 128 43.2 - -16

    Source: (Bajpai and Tyagi., 2006)

    2.3.1 ADVANTAGES AND DISADVANTAGES OF BIODIESEL

    It is a fact that the transportation network of the world are the highest consumer of

    fossil fuel such as gasoline, diesel fuel, liquefied petroleum gas (LPG) and natural gas (NG)

    and the alternative to this fuel must be feasible, economical relative to current production

    techniques, environmentally acceptable and has good availability. However it is not wise to

    look only at biodiesel, it is important to take into account other crucial factors such as raw

    material and vehicle technology in order to assess the feasibility of biodiesel as a fuel.

    Biodiesel is 100 % renewable and being plant based it does not emit sulfur and carbon

    monoxide on burning and is nonpolluting, biodegradable and environmentally safe. The

    cytotoxic and mutagenic effects of diesel engine using biodiesel shows that particulates and

    vitro cytogenic and mutagenic effects were lower compared to diesel fuel. In view of the

    environmental considerations, biodiesel is considered carbon neutral as all the carbon

    dioxide released from the atmosphere are used for the growth of vegetable oil crops (carbon

    is exhausted and absorbed in a closed cycle thus there will be no addition of carbon to the

    atmosphere compared to diesel fuel as it releases trapped carbons to the atmosphere). It is

  • 7

    known that the combustion of 1 liter diesel fuel gives 2.6 Kg of CO2 against 1 kg of

    CO2/Kg of biodiesel (Bajpai and Tyagi., 2006). The literature states that the combustion of

    biodiesel emit lesser pollution compared to diesel in which the emission of SO2, soot, CO,

    hydrocarbons (HC), polyaromitic hydrocarbons (PAH), and aromatics as shown in Figure

    2.1 which indicates the engine exhaust contains no SO2, and shows decreasing emissions of

    pollutants. The NOx emissions are reported to be in the range between 10% compared to

    diesel depending on engine combustion characteristics. This shows that biodiesel is similar

    to diesel fuel in chemical and physical properties and has favourable engine performance

    that makes it a better substitute for diesel fuel compared to battery power and hydrogen

    power.

    Figure 2.1: Emissions of biodiesel compared with petro-diesel

    Source: (Bajpai and Tyagi., 2006)

    Hydrocarbons are reduced with biodiesel in diesel engines along with carbon

    monoxide and particulate matter. The exhaust emission of total hydrocarbon is at an

    average of 67 % lower for biodiesel, carbon monoxide at 48 % lower and particulate matter

    at 47 % lower than diesel. This nulls the perspective that the dispersion of CNT will

    increase pollution compared to diesel fuel as only a small percentage of CNT is dispersed.

  • 8

    However nitrous oxide emissions stayed or are slightly increased. The melting temperature

    of palm oil biodiesel (POD) is about 20 C which forms a clear liquid when blended with

    diesel fuel. The fraction of POD in blends does not create any separation or any layering on

    the inside wall of the fuel tank. This investigation was done in Malaysia, when the ambient

    environmental temperature was 25 C 35 C. It is assumed that POD could be a good

    alternative to partially replace the conventional diesel fuel (Kalam and Masjuki., 2002).

    Biodiesels are subjected to oxidation through contact with the oxygen in the air and

    hydroperoxides are formed by the reaction of oxygen with carbon atoms and most

    vegetable oils contain anti-oxidants such as vitamin E that inhibit oxidation until it is

    depleted causing the oxidation to process rapidly beyond the depletion of vitamin E. With

    the presence of two or more double bonds in the fatty acid chain, biodiesel oxidize more

    rapidly compared to biodiesel with one double bond thus the tendency to oxidize is greater

    with the increase in the number of double bonds in the biodiesel chain. The important

    consequence of oxidization is that the hydroperoxides are very unstable and tend to attack

    the elastomers and it induces polymerization of esters and form insoluble gums and

    sediments which causes filter plugging. This phenomenon is called fuel stability problem

    and the oxidization is accelerated by heat and light. When biodiesels are distilled to remove

    high boiling point materials such as glycerin, the natural antioxidants are also removed

    causing accelerated oxidation. Biodiesel also show degradation when stored for a long time

    along with humidity, pigments and enzymes which reduces oxidative stability. (Dantas et

    al., 2010). The lubricating properties of the biodiesel increases the engine efficiency and

    can eliminate the use of additives and reduce the failure of fuel injection pump which is

    caused by inadequate fuel lubricity. Drivability is another important advantage of the

    biodiesel where, the use of biodiesel causes smoothing of the engine where it runs quieter

    and produces less smoke and existing engines can be used without any modification up to

    20 % biodiesel in the fuel blend.

  • 9

    2.4 BIODIESEL PRODUCTION

    Biodiesel can be produced by chemically reacting vegetable oil or animal fat with

    alcohol such as methanol. This reaction requires a catalyst such as sulfuric acid, sodium or

    potassium hydroxide. This produces compounds called methyl esters. It is these esters that

    came to be known as biodiesel. Biodiesel from vegetable oil is interesting for several

    reasons such as it can replace diesel oil in boilers and internal combustion engines without

    major adjustments, only a small decrease in performance was reported, almost zero

    emission of sulfates, a small net contribution of carbon dioxide when whole life cycle is

    considered from cultivation to conversion of biodiesel. In general, vegetable oils contain

    triglycerides and monoglyserides and fatty acids. However the production cost of biodiesel

    is not economically competitive with petroleum based fuels due to relatively high cost of

    the lipid feedstock which are usually edible grade refined oils. The process of removal of

    all glycerol and the fatty acid from the vegetable oil is called transesterification.

    Trasesterification is a better method because it is a simple and an easy operation. Figure 2.2

    shows the chemical reaction between triglycerides and alcohol in the presence of the

    catalyst to produce mono-esters. Depending on the fatty acid composition of the oil, its

    cetane number can be determined at the starting stage. (Halek et al., 2009)

  • 10

    Figure 2.2: A schematic diagram for biodiesel production

    Source: (Bajpai and Tyagi., 2007)

    In some European countries, biodiesel oil are sold commercially, however in other

    countries, biodiesels are not available commercially due to high cost and is primarily used

    mainly for practical purposes and in reduce dependency on imported fuels. In Asia,

    Malaysia produces 3000 metric tonnes per year for transit fleet, bus and cars therefore the

    demand of biodiesel is there and is increasing. Although the general interest in using and

    producing biodiesel is dependent on the regional prices of biofuel, labor, land, processing

    plant and economic considerations must be evaluated. Figure 2.3 shows the comparison of

    the cost of diesel fuel to the cost of the energy equivalent amount of palm oil and other

    vegetable oil (Kalam and Masjuki., 2002) and from the figure it is clear that it is not yet

    economical to use palm oil as well as other biodiesels.

  • 11

    Figure 2.3: Comparison of fuel prices

    Source: (Kalam and Masjuki., 2002)

    2.5 DIESEL ENGINE

    A diesel engine is a type of internal combustion engine where the standard diesel

    engine operates on the principal that air in the engine cylinder is compressed to an

    extremely high pressure and temperature at which time the fuel is injected into the

    combustion chamber causing ignition. This is different from a gasoline engine which

    compresses both the air and fuel at the same time. Once the air and fuel is compressed, the

    gasoline engine relies on a spark to ignite the mixture causing combustion. The spark

    ignition or gasoline engines need for electrical ignition requires the use of many

    components such as spark plugs, ignition coil, distributor, and a carburetor. The mechanical

    nature of the diesel engines design makes it simpler, more rugged, more versatile, and its

    higher compression ratio makes it more efficient than the gasoline engine. It is because of

    these basic principles of the diesel engines design that make it such a good candidate for a

    near term solution to our renewable energy needs (Engine Manufacturers Association.,

    2002).

  • 12

    2.6 CARBON NANOTUBES

    CNT were discovered by Sumio Iijima in 1991. CNTs are a particular arrangement

    of carbon atoms similar in structure to graphene, a two dimensional counterpart of graphite.

    A CNT is formed when the two-dimensional sheet of graphene is rolled into a seamless

    cylinder. CNTs can range from 1 nm to 100 nm in diameter and have lengths in the

    micrometer range. Based on the chemical arrangement of carbon atoms, a discrete number

    of unique CNTs can be formed. Normally, these different types of CNTs are classified by

    their chiral vector as displayed in Figure 2.4. The chiral vector is related to the

    circumference of the nanotube, and based on the chiral vector, the nanotubes are

    categorized as either semi-conducting or metallic. CNTs can also be classified as single-

    walled, double-walled or multi-walled. A single-walled CNT is formed by a rolling a single

    sheet of graphene into a cylinder. Double-walled and multi-walled CNTs are formed by

    forming concentric cylinders from multiple layers of graphene. Dresselhaus provides a very

    detailed description of the chemical arrangement of CNTs as well as the phonon transport

    and related thermophysical properties (Eklund., 2000). Figure 2.4 is a schematic

    representation of the construction of a nanotube by rolling up and infinite strip of graphene.

    In (A) the chiral vector Ch = na1+ma2 connects two lattice points O and A on the graphene

    sheet. An infinite strip is cut from the sheet through these two points, perpendicular to the

    chiral vector. The strip is then rolled up into a seamless cylinder. T=t1a1 +t2a2 is the

    translation vector of the tube. All different nanotubes have angles between 0 and 30.

    Armchair tubes have angles of 30 (Ba), zigzag have angles of 0 (Bb) and all other tubes

    are called chiral and have angles within 0 to 30 (Bc) as shown in Figure 2.4 (Popov.,

    2004).