Question
Help me!! Please solve (1) and (2).
And I desperately want to know how to solve (2) by using MATLAB. Please teach me Matlab code in detail.

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) at the right surface. (Assumption: steady state conditions.)

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


D (h, T
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Answer #1

D3m W/mK. = 22.0. Aeatnas ο, οι 83.33 T 1 8 333, 33 = 2 99.566 ℃ 12

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