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l missed an important information about block. So I upload again my question... please solve (3) and (4). I f I use a program to solve it, please teach me the name of program and the method. please teach me in detail. thank you :)

a rectangular shape Aluminum block(L=10mm, D=3mm) has well insulated top and bottom. The left surface has thermal boundary condition, and the right surface has convection boundary condition.

* the surface temperature Ts=100℃, the ambient air temperature Ta=20℃, heat transfer coefficient h=120 W/(m^2*K)

* thermal conductivity of Aluminum = 220 W/m*K, density of Aluminum= 2707kg/m^3, specific heat of Aluminum= 896J/kg*K

Assume Aluminum block in a two-dimensional shape. and find temperature on x-y plane as follows.

(1) Using one-dimensional heat diffusion or thermal resistance, calculate the temperature T(x=L) of the right surface. (Assumption: steady state conditions.)

(2) Solve two-dimensional heat diffusion equation by numerical method, and compare the result with the one-dimensional result from (1). (Assumption: △x=△y=1mm)

(3) Assuming the initial temperature of Aluminum block is 20℃, Calculate the time when the temperature on the right side reaches steady-state.

(4) To double the time obtained from (3), try design Aluminum block shape by change the shape of section(0.3L<= x <=0.7L).


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Answer #1

tul dot this fonpesatuu t r Heat trasf in olx or Geert Thus,substitutin.we lot qq-566℃ Thus vale ue to vevy small i valu Tim

99.5-100e 2.707 X89 v 10x3 do1 20 loo Taking on both sid 1.20 X 10 Dxt) → t:1049.81 seconds - 2707x 89b 1 Ο 49. & 1 x2xL、らし 2

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