problem4-80 - PROBLEM 4.80 KNOWN: Plane composite wall with...

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PROBLEM 4.80 KNOWN: Plane composite wall with exposed surfaces maintained at fixed temperatures. Material A as temperature-dependent thermal conductivity. h FIND: Heat flux through the wall (a) assuming a uniform thermal conductivity in material A evaluated at the average temperature of the section, and considering the temperature-dependent thermal conductivity of material A using (b) a finite-difference method of solution in IHT with a space ncrement of 1 mm and (c) the finite-element method of FEHT. i SCHEMATIC: ASSUMPTIONS: (1) Steady-state, one-dimensional conduction, (2) No thermal contact resistance etween the materials, and (3) No internal generation. b A NALYSIS: (a) From the thermal circuit in the above schematic, the heat flux is 12 A B2 x AB B TT T T q RR R −− ′′ == + ( 1 , 2 ) a nd the thermal resistances of the two sections are ( 3 , 4 ) AA A BB RL / k / k = B = T he thermal conductivity of material A is evaluated at the average temperature of the section () { } Ao 1 A B o kk 1 T T/ 2 T α =+ + ( 5 ) S ubstituting numerical values and solving the system of equations simultaneously in IHT, find < 2 AB x T 563.2 K q 52.64 kW / m (b) The nodal arrangement for the finite-difference method of solution is shown in the schematic below.
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This note was uploaded on 12/07/2010 for the course MAE Heat Trans taught by Professor Lee,j.s. during the Spring '10 term at Seoul National.

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problem4-80 - PROBLEM 4.80 KNOWN: Plane composite wall with...

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