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    B.E./B.Tech. DEGREE EXAMINATION, NOVEMBER/DECEMBER 2013

    Fifth Semete!

    Mech"#ic"$ E#%i#ee!i#%

    &ME11'01 ( )EAT AND MASS TRANSFER

    Time* Th!ee h+! M"-imm* 100M"!

    )e"t "# m" t!"#fe! t"$e, te"m t"$e "!e e!mitte f+! e

    A#4e! A55 6eti+#

    7ART A ( 10 82 9 20 M"!

    1. State Fourier law of heat conduction

    2. Define fin efficiency and effectiveness.

    3. Distinguish between free and forced convection.

    4. Define Reynolds number (Re and !randtl number (!r.

    ". #ndicate the difference between boiling and condensation.

    $. Discuss the advantage of %&' method over the )&D method.

    *. State the Stefan+,olt-mann and ien/s dis0lacement laws of radiation.

    . Discuss the radiation characteristics of carbon dioide and water va0our.

    . State Fic/s law of diffusion. 5ive its e0ression.

    16. Define e7uimolar counter diffusion.

    7ART B ( ' 81: 9 ;0 M"!

    11. (a (i 8btain an e0ression for the general heat conduction e7uation in 9artesian

    coordinates. (12

    (ii :0lain briefly the conce0t of critical thicness of insulation and state any two

    a00lications of the same. (4

    O!

    (b (i ith neat setches; e0lain the different fin 0rofiles (4

    (ii m? 2 cm in diameter and 26 cm long 0rotrudes from

    a wall which is maintained at 366@9. &he end of the rod is insulated and the surface of the rod is

    e0osed to air at 36@9. &he heat transfer coefficient between the rodAs surface and air is 16

    w>m2?. 9alculate the heat lost by the rod and the tem0erature of the rod at a distance of 16 cm

    from the wall. (12

    12. (a (i s .if the 0late

    is 1m wide and the tem0erature &w = *"6c .calculate the following at a location of 1m from the

    leading edge.(i Bydrodynamic boundary layer thicness;(ii ocal friction coefficient;(iii

    &hermal boundary layer thicness;(iv ocal heat transfer coefficient. (

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    O!

    (b (i < large vertical 0late " m high is maintained at 166@9 and e0osed to air at 36@9

    9alculate the convection heat transfer coefficient. (

    (ii 9ylindrical cans of 1"6 mm length and $" mm diameter are to be cooled from an

    initial tem0erature of 26@9 by 0lacing them in a cooler containing air at a tem0erature of 1@9 and

    a 0ressure of 1 bar. Determine the cooling rates when the cans are e0t in hori-ontal and vertical

    0ositions. (

    13. (a ater is to be boiled at atmos0heric 0ressure in a mechanically 0olished stainless steel

    0an 0laced on to0 of a heating unit. &he inner surface of the bottom of the 0an is maintained at

    l6@9. &he diameter of the bottom of the 0an is 36 cm. m2? for an echanger surface area of 2"m2; 9alculate the

    eit tem0erature of air and water. ($

    14. (a Determine the view factor (F1+4 for the figure shown below.

    O!

    (b < 0i0e of diameter 36cm; carrying steam runs in a large room and is e0osed to air at a

    tem0erature of 2"6c.the surface tem0erature of the 0i0e is 366 6c.calculate the loss of heat to a

    surrounding 0er meter length of 0i0e due to thermal radiation. &he emissivity of the 0i0e surface

    is 6..what would be the loss of heat due to radiation of the 0i0e is enclosed in a ""cm diameter

    bric of emissivity 6.1.

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    1". (a (i Define the Schmidt ;Sherwood and ewis numbers. hat is the 0hysical significance

    of eachC ($

    (ii < vessel contains binary miture of 82and %2with 0artial 0ressures in the ratio 6.21

    and 6.* at 1"@9. &he total 0ressure of the miture is 1.1 bar. 9alculate the following

    (1 )olar concentrations;

    (2 )ass densities;

    (3 )ass fractions and

    (4 )olar fractions of each s0ecies. (16

    O!

    (b (i Dry air at 26@9 (= 1.2 g>m3; v = 1" l6+$m2>s; D = 4.2 l6+"m2>s flows over a flat

    0late of length "6 cm which is covered with a thin layer of water at a velocity of 1 m>s. :stimate

    the local mass transfer coefficient at a distance of 16 cm from the leading edge and the average

    mass transfer coefficient. (16

    (ii Discuss the analogy between heat and mass transfer. ($