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    Seat No.: Enrolment No.

    GUJARAT TECHNOLOGICAL UNIVERSITY

    BE SEM-VI Examnaton-No!"#e$-%&''

    S()*e$t $o+e: ','&, #ate: &%"'%"%&''

    S()*e$t Name: Heat an+ Ma Tran/er

    Tme: '&.0& am -'.&& 1m Total mar2: 3&

    Intr($ton:

    '. Attem1t all 4(eton.

    %. Ma2e (ta)le a(m1ton 56ere!er ne$ear7.

    0. 89(re to t6e r96t n+$ate /(ll mar2.

    .' ;a< What is the difference between the natural and forced convection? &0

    ;)< Explain the following terms &=

    1.Radiation

    2.Thermal resistance

    3.Thermal diffusivit!.Thermal conductivit

    ;$< " gas turbine blade made of stainless steel #$ %32 W&m'

    () is *+ mm &3

    long ,-++ mm2

    cross sectional area and 12+ mm perimeter .The

    temperature of the root of blade is -++'

    ( and it is exposed to the

    combustion product of the fuel passing from turbine at 3+'

    (./f the

    film coefficient between the blade and the combustion gases is 3++

    W&m2'(,

    0etermine #1) The temperature at the middle of blade

    #2)The rate of heat flow from the blade

    .% ;a< 0erive general heat conduction euation in spherical coordinates &3

    ;)< " furnace wall is made up of three laers of thic$ness 2-+ &3

    mm,1++mm and 1-+mm with thermal conductivit of 1.4-,$ and 5.2

    W&m'

    ( respectivel .The inside is exposed to gases at 12-+'

    ( with a

    convection coefficient of 2- W&m2'( and the inside surface is at

    11++'

    (,the outside surface is exposed to air at 2-'

    ( with convection

    coefficient of

    12 W&m2'(.0etermine

    #1)The un$nown thermal conductivit $

    #2)The overall heat transfer coefficient

    #3)"ll 6urface temperaturesOR

    ;)< 0erive an expression for heat dissipation in Rectangular 7in of &3

    uniform cross section which is insulated at tip .

    .0 ;a< 0erive momentum euation for hdrodnamic boundar laer over a &3

    flat plate

    ;)< Enumerate the factors on which the rate of emission of radiation b &0

    bod depends.

    ;$< 0ifferentiate between pool boiling and forced convection boiling &=

    OR.0 ;a< 0efine 8usselt number and 9randtle number. &=

    ;)< What is blac$ bod? :ow does it differ from gra bod? ;ive &0

    examples of each.

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    ;$< " steam pipe cm in diameter is covered with 3 cm thic$ laer of &3insulation which has a surface emissivit of +.5.The surface

    temperature of the insulation is +'

    ( and the pipe is placed in

    atmospheric air at 2!'

    (.(onsidering heat loss b both radiation andnatural convection calculate#1)The heat loss from the * m length of pipe.

    #2)The overall heat transfer coefficient and the heat transfer

    coefficient due to radiation alone.

    The thermo phsical properties of air at mean film temperature of-2

    '

    ( are as following

    %1.+52 $g&m3,cp%1.++*$