GE1003

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  • 7/21/2019 GE1003

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    THE

    II\STTTUTION

    OF ENGINEERS

    SRI

    LAI{KA

    ENGINEtrRTNG

    CERTIFICATE

    COURSE

    STAGB

    I

    G81003

    -

    Thermodynamics

    and

    Fluid

    Mechanics

    DATE:

    FROM:

    0900IIRS

    ru 1200HRS

    DURATION:

    TIIREE

    IIOURS

    READ

    THE

    FOLLOWING

    INSTRUCTIONS

    CAREFULLY

    BBFORE

    ANSWERING

    THE

    QUESTION

    PAPER

    Answer

    only five

    (05)

    questions

    and all

    questions

    carry equal

    marks.

    Wherever

    appropriate,

    use

    tables and

    charts

    available

    in

    the in

    the examination

    hall.

    At

    the

    end

    of

    the

    examination

    return

    all

    such

    material

    to

    the

    exa miner/supervisor.

    3 Any missing

    data can

    be sensibly

    and

    reasonably

    assumed,

    but

    state such

    assumptions

    clearly with

    justifications.

    Any

    result

    from

    calculations

    should

    have

    units,

    unless they

    are dimensionless.

    All answers

    to

    the

    given

    questions

    should

    be underlined

    for

    the

    purpose

    of

    easy

    identification.

    write

    the

    question

    Number

    to

    which

    you

    answer

    on the

    cover

    page

    appropriately.

    Assume

    density

    of water

    is

    1000kg/m3

    and

    acceleration

    due to

    gravity

    is 10m/s2

    wherever

    relavant.

    L

    2

    4

    5

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    1

    a Explain

    non

    flow

    process .

    b

    Name

    three

    thermodynamic

    non

    flow

    processes.

    c

    ln

    a

    system

    executing

    a non flow

    process,

    the

    work

    and heat

    transfer

    are

    given

    by

    #

    =

    *ul

    /

    C

    and#

    =

    *kl

    / c

    respectivety.

    The

    temperature

    of

    the system increases

    from

    150oC

    to

    300 C.

    Find

    the

    change

    in internal

    energy.

    2

    a

    State

    the

    second

    law of

    thermodynamics.

    b

    Draw

    a

    p-v

    diagram for

    Carnot

    cycle and

    name

    each

    process

    of the

    cycle.

    c

    A

    Carnot

    engine works

    between

    temperature

    limits

    of

    825oC

    and

    125 C. The

    engine

    receives

    3600kJ of heat

    per

    minute.

    Determine

    the

    power

    of

    the

    engine

    and

    the amount of heat

    rejected

    to the

    sink.

    Efficiency of Carnot cycle

    is

    given

    as

    ,-=t-b

    T7

    where

    Tris

    the

    upper

    limit

    temperature

    and Tris

    the lower

    limit

    temperature.

    3 a

    Draw

    a

    p-v

    diagram

    for Otto

    cycle

    and identify

    each

    process.

    b

    Name

    the

    four

    processes

    in

    the Otto

    cycle.

    c

    An engine

    working

    on ideal

    Otto cycle has

    temperature

    and

    pressure

    at

    the beginning

    of compression

    as 25oC

    and

    1.Sbar respectively.

    -

    Find

    the

    compression

    ratio

    (r)

    if

    y

    is

    7.4 and

    thermal efficiency (4)

    is

    48%. Also

    find

    the temperature

    and

    pressure

    at,the

    end of

    compression.

    You may

    use

    the following equation if necessary.

    rl

    =

    L- .l:

    r0-r)

    4 a

    State the

    difference

    between intensive

    properties

    and

    extensive

    properties

    of a

    pure

    substance.

    b

    Define

    the term

    specific

    heat of

    a

    substance.

    c

    A

    piece

    of iron

    ball

    of mass

    5kg

    is heated

    to

    '105oC

    and

    dropped into

    a

    vessel

    containing 25kg

    of

    water

    at

    20 C.

    What

    is

    the specific

    heat of

    iron, if

    the

    rise

    in

    temperature

    of

    water be

    3.6oC

    ? Specific

    heat of

    water

    is

    4.193 kJ/kg

    K,

    d Three

    pipes

    discharge water into

    the

    same

    main,

    one supplying

    0.75

    m'/min

    at

    82oC, the

    second

    pipe

    1.35m3/min

    at 7 C

    and

    the third

    0.06

    m3/min

    at 100'C.

    Find

    the final temperature

    of

    the water

    mixture

    assuming

    specific heat

    of

    water

    to

    be constant.

    5 a

    What

    will

    be the

    gauge

    pressure

    and

    absolute

    pressure

    of water at

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    depth

    12m

    below

    the

    surface?

    pwarcr

    =

    1000

    kg/m3,

    and

    atmospheric

    pressure

    =

    101kpa.

    A

    cube

    with

    100

    mm

    each side

    is made

    of

    a rigid

    foam

    material

    and

    floats

    in water

    with

    60mm

    below

    the

    free

    surface

    of water.

    calculate

    the

    magnitude

    and

    direction

    of

    the

    force

    required

    to hold

    it

    completely

    submerged

    in

    glycerine

    which

    has

    a

    specific gravity

    of

    1.26.

    Name

    the flow

    measuring

    devices

    that

    can

    be

    used

    to

    measure

    velocity, discharge

    and

    pressure

    of a fluid

    flow

    stream.

    A

    u

    tube mercury

    differential

    manometer

    has

    been

    used

    to

    measure

    the

    pressure

    differential

    across

    the inlet

    and

    throat

    of

    a

    venturimeter

    that

    conveys

    water

    as shown

    in

    figure

    Q6.Calculate

    the

    pressure

    difference

    when

    manometer

    reads

    250mm:

    Figure

    Q6

    The

    velocity

    components

    in a

    two dimensional

    incompressible

    flow

    field

    are

    expressed

    as

    y3

    ,=T*2x-x,y

    ^-3

    ^L

    'U=Xyz-2v--

    3

    Determine

    the

    velocity

    at

    point

    x=1m,y=3m.

    ls

    the flow

    physically

    possible?

    lf

    so

    find

    the

    stream

    function.

    Calculate

    the discharge

    between

    the streamlines

    passing

    through

    (1,3)

    and

    (2,3).

    Show

    that

    the flow is

    irrotational

    and find

    the

    potential

    function.

    State

    Darcy

    formula

    with

    usual notations.

    Two

    pipes

    of diameter

    50mm and

    100mm

    ,

    each of length 100m

    are

    connected

    in

    parallel

    between

    two reservoirs

    which have

    a

    difference

    of

    level

    of 10m.

    If

    the coetficient

    of

    friction

    (f)

    for

    each

    pipe

    is

    f

    =

    0.08,

    calculate

    the rate

    of

    flow

    for

    each

    pipe

    considering

    only

    the

    friction

    loss.

    {

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