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    &

    2

    1 2008

    214

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    TABLE OF CONTENT

    WEEK 1

    1.0 To find the relation between the pressure and volume of a gas at

    constant temperature.

    WEEK 2

    2.0 To find the relationship between the volume and the absolute

    temperature of gas at constant pressure.

    WEEK 3

    3.0 U-tube manometer for measuring gas pressure

    WEEK 4

    4.0 Measurement of gas pressure using a pressure gauge

    WEEK 5

    5.0 To measure the pressure due to the atmosphere

    WEEK 6

    6.0 Discharge through a small orifice

    WEEK 7

    7.0 DETERMINATION OF FLUID PROPERTIES

    WEEK 8

    8.0 VISCOSITY OF WATER

    WEEK 9

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    9.0 VERIFICATION OF SURFACE TENSION

    WEEK 10

    10.0 SURFACE TENSION

    WEEK 11

    11.0 DETERMINATION OF CENTRE OF PRESSURE OF IMMERSED BODY

    WEEK 12

    12.0 STABILITY AND BUOYANCY OF FLOATINGBODIES

    WEEK 13

    13.0 FLOW THROUGH A TAPERED PASSAGE

    WEEK 14

    14.0 DETERMINATION OF VISCOSITY OF FLUID

    WEEK 15

    15.0 TO MEASURE THE PRESSURE HEAD OF WATER IN A PIPE LINE BY

    MEANS OF A U-TUBE

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    EEK 1

    E

    .

    B

    ,

    , , .

    : L B C .

    C B, = .

    M

    1. (C) (

    ) .

    2. N () ( ).

    3. M

    4. C () (. )

    .

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    5. K

    . .

    6.

    7. v

    1

    A =

    ( )mml

    ( )mm

    ( )c.cv

    1. ?

    2. H ?

    3. B L

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    WEEK 2

    Experiment

    CHARLESS LAW

    Object: To find the relationship between the volume and the absolute

    temperature of gas at constant pressure.

    Apparatus: Flask with neck in the form of a long tube with two right-angle bends,

    glass tube, flexible tubing, mercury, copper heater, stirrer,

    thermometer.

    Theory

    The tube AB is graduated to show the volume in the flask and tube.

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    WEEK 3

    Object:- U-tube manometer for measuring gas pressure.

    Apparatus:- U-tubes manometer, gas in a container, mercury, metre rule.

    Method:

    Fill the u-tube with mercury. Let one end of the u-tube is open to the

    atmosphere and hence the surface pressure acting upon the liquid column in

    this side of the tube is the atmospheric pressure. Connect the other side to the

    container.

    Observation:

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    In (a) the levels of the liquid in the manometer are the same. Thus the pressure

    of the gas P in the container exerted on the left-hand column must exactly

    balance the atmospheric pressure \PA exerted on the right-hand column of

    liquid, thus

    In (b) the pressure of the gas Pb must exceed atmospheric pressure, thus

    forcing the liquid in the U-tube round until the excess pressure caused by the

    height h of liquid caused the pressure on the two sides to equate. Hence the

    gas pressure in the container is:

    That is, atmospheric pressure plus the pressure due to the column of liquid Pgh,

    where h = column height above xx, P = liquid density, g = 9.81 m/s2

    (acceleration due to gravity).

    In (c) the gas pressure Pcin the container is below atmospheric pressure. The

    greater \

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    4

    4

    M

    : .

    A: A

    M: C .

    . ,

    , ..

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    5

    5

    : .

    A: A , , .

    M:

    . C . 5.

    . , ,

    .

    = =

    A A

    A A

    M

    M

    C

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    6

    6

    D

    F. 6:

    L ,

    , . 6.

    . ,

    I A ,

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    C .

    I ,

    ..

    C 0.6 0.7.

    .

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    7

    /:

    T D K

    (1) SAE 40 L

    (2) C

    U

    :

    (1) A /

    (2) T (

    1(3) A

    (4) L (SAE 40)

    (5) C

    (6) S

    (7) A M R

    F1 F. 2

    V :

    )

    .

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    F. 1

    9

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    I ,

    F =

    W

    =

    = A

    =

    .. =

    =

    W

    ().

    S

    T: F =

    G (A)

    () :

    = F/A

    T

    .

    C

    F. 2

    (F) :

    ___1

    = M

    = G

    I

    :

    ____

    ___3

    , (/)

    ,

    _4

    ,

    5

    N .

    2

    .

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    = / = ./ 6

    C ;

    T

    E (6), G ()

    T:

    W

    = =

    T =

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    =()

    N/2

    T

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    F (0) ; :

    /P _________(7)

    W

    = D

    P0 = D

    = ()

    F, E F. (1)

    30. N ' . T

    . N,

    F (2).

    W , . A , () . T

    .

    . A

    ()

    (

    2)

    I

    (S)

    ()

    (V)D L.

    1 50 202 30

    2 \\ \\ 15 1 2/

    3 \\ \\ 10 \\ 1.5/

    4 \\ \\ 20 \\ 3.5/

    5 \\ \ 25 \\ 3.0/

    6 \\ \\ 5 \\ .O/

    C . U

    (1) R

    (2) C

    (3) F

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    8

    T

    () T

    () T

    G

    ,

    () T

    P'

    1.

    2.

    3.

    ()

    :

    I

    1A 1 ,

    , , , ,

    , , .

    __,.

    ,

    .

    /

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    T :

    / B V V/

    3 V = V 2

    T / R

    /VF S

    P V/

    / .

    1. A

    .

    2. I , P'

    ( )

    . F, ,

    P' . F

    , , '

    .

    3. I ( )

    .

    5

    F (1) % = 4 % +% + %

    .

    F % E 1. T %

    . T %

    ''

    . E %

    .

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    9

    (1)

    T

    S 1/2 , ;

    , ,

    , , .

    L

    () 3.

    T = 9.81"2

    C

    Y

    = /4 ()

    () .

    C '

    , ,

    . T ( )

    .

    F ,

    , . (T

    .) S . H

    . B

    . T

    . M

    , : , , . F

    2

    . T

    A

    . I . T

    . C

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    , . R

    : . R .

    T :

    A ,

    , ,

    D / S H /(2) M(1)

    1

    2

    3

    M........

    1.

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    2. I ,

    . T

    .

    3. I

    .

    4. T ''

    , , , .

    F 0

    Y=

    4

    A () .

    1. T

    . E %

    .

    F (): % = % .

    2. T

    .

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    10

    1. T

    .

    2.

    S ,

    () U E

    3.

    L =

    ,

    I = AC,

    =

    ,

    ,

    T

    .. 2 =

    .. = /2

    F ,

    = ,

    , , , A

    , , , ,

    . N. 1

    . F

    ,

    = 2.

    _

    '

    .

    _1

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    ,

    .

    . M ,

    .

    D

    .

    M .

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    ()

    1.

    2.

    L =

    I = AC,

    =

    ,

    ,

    T

    .. 2 =

    .. = /2/

    F ,

    = ,

    = ,

    =

    = (21 + 2) H

    2) =

    . . 2

    . F ,

    ,

    = 2.

    _

    (2/ +

    1

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    'Y (21 + 2) _______2

    3.

    A DABC . A .

    C , ,

    . T

    . P

    .

    L

    .

    D .

    M /

    .

    1. R .

    2. O . U

    . S .

    3. I AC

    .

    4. W .

    5. A

    ( S') ,

    ..

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    11

    1.

    T

    T

    A F. 5

    F =

    W

    A =

    .

    I.

    631

    1.1 . T )

    A

    =

    F

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    H '

    C.G C C.P P WI

    C

    .

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    T CP (

    ) 0, 0

    . T D :

    T

    = + IG/A

    W

    = 0 CG

    =

    W IG= 2 CG.

    E D :

    F , P

    F. = M. W

    =

    M =

    = .

    T .T /

    , ,

    ( ) '

    '

    (

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    /

    / = 100 =

    75 = 100

    = 250

    T 63.1

    ,() ,() () I X M .

    1

    2

    3

    4

    5

    6

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    T . T

    . W , .. 6 = 90,

    ,

    , . H,

    =

    . T CP . I

    ( 7)

    148.2. T + (1/2) = 150.0.

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    13

    1. T

    () A

    () B

    () L

    () K .

    3.

    M MG

    W =

    2.

    M

    W

    .

    .

    P

    F. 64.1 T

    W 0

    =

    A

    J

    S

    MG =

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    =

    NOTE

    I 0

    57.3

    M MG

    M

    W MB =

    4. E

    T

    31:

    G

    ]

    ,

    ,

    .

    .

    = MB + BZ GZ

    . T I,

    . T

    . T

    F

    G, GZ . T

    . T

    . T

    . T

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    . A 0

    .

    R 1 2 3 4 5

    G 91 82 75 66 58 0 0 0 0 0 05 0.9 0.8 0.5 0.5 OJ

    20 3.6 2.9 2.1 1.8 1.4

    30 5.4 4.1 3.2 2.7 2J

    4O . 6.9 5.6 4.3 3.5 3J'

    50 8.6 6.9 5.4 4.4 3J

    55 6.0 4.9 M^

    70 7.5 6.2 3

    T 300, 250, 200

    150 .

    M = 2.525

    M = 0.2 E

    :

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    / = 358

    = 203

    = 77 D

    = 42

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    . 9

    64.4

    C MG : W W =

    = 2.5259.81 =

    24.77N

    J = 0.29.81

    1.962N

    W

    = 4.538

    = 4.538 /0 176

    _

    MG

    X 57.3MG

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    150

    117.5

    P G

    .

    (M)

    50

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    0 20 40 60 80

    M ()

    F. 64.6

    T MG

    GZ (F. 2.16)

    T

    .F M G, .. MG + . T

    ' . H,

    G , .. GZ . T MG GZ

    . F GZ 117.5 MG

    . T G GZ

    .

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    14

    T

    () A

    .

    () A

    () A

    W

    F ( )

    P/ + Y2/2 + =

    P/ =T

    + V2/2

    .

    T A

    ). F

    .

    .

    2S^ ^ ?

    F. 66.1

    B' , :

    I

    .

    =

    P

    ^

    /

    .

    . (A

    .

    .

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    JT

    .1

    183

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    1 2 3 4 5 8 7S

    F. 66.2 184

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    N ,

    H .

    H,

    .

    T

    . T

    .

    T

    .

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    15

    Brief theory. Piezo

    employed when pressur

    to be measured, since

    long tubes, which

    conveniently. Furthermo

    measured by the piezo

    no free atmospheric surfa

    overcome by the use of

    A U-tube consists

    shape, one end of whic

    which pressure is to be

    remains open to the at

    Fig. 2. It contains a li

    heavier than the liquid

    to be measured.

    The pressure head

    found from the relation:

    *

    .

    eter tubes cannot be

    s in the lighter liquids are

    this would require very

    cannot be handled

    re gas pressures cannot be

    eters because a gas forms

    e. These limitations can be

    -tube manometer.

    f a glass tube bent in U-

    is connected to a point at

    measured and other end

    mosphere as shown in

    uid (generally mercury)

    of which the pressure is

    of liquid (h) in a pipe is

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    h = h"(S2-\)-

    h' Procedure:

    1. Connect the U-tube to the pipe carrying liquid (whose pressure is to be measured).

    2. Note down the readings of h' and h ".

    3. Take number of readings by varying the discharge (say four) and tabulate as

    shown in the Table 2.

    Table 2. U-tubeObservations

    S. No. h' h" Pressure head Intensity of pressure p = wh Remarks

    h = h"(S2-S,) (w = sp. wt. of liquid)-h 'S ,

    1.

    2.

    3.

    4. '

    Specimen calculations : (/)

    Conclusions :

    Precautions:

    1. U-tube should enter the pipe at right angles to the direction in which the fluid flows.

    2. The end of the U-tube which is to be connected with the pipe should flush with

    its (pipe) inner surface and should not be rough.

    3. If large pressures are to be measured, then in U-tube heavier liquids, generally mercury, should

    Mean ressure, = .

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