Q HW3 - EML 6154 HW 3 Due Wednesday 9/23/09 A) Work Problem...

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EML 6154 HW 3 Due Wednesday 9/23/09 A) Work Problem 2.11 , but make the following change . Let the initial temperature T(t=0) = F(x,y,z), where this initial condition function may NOT be expressed as a product of the separated 1-D functions. Therefore solve the general 3-D T=T(x,y,z,t) problem using separation of variables. B) A rectangular region of dimensions LxW has the following boundary conditions: Constant heat flux (q o ”) into the solid from the bottom side (y=0), prescribed temperature T(x=0,y) = F(y) on the left side (x=0), insulated on the top side (y=W), while the right side (x=L) is maintained at a constant temperature of zero. Solve for the steady-state temperature distribution T(x,y). C) A rectangular region of dimensions LxW has constant internal energy generation g (W/m 3 ) and the following boundary conditions: Zero temperature on the bottom side (y=0) and left side (x=0), insulated on the top side (y=W), while the right side (x=L) dissipates heat by convection with convection coefficient h into a medium at zero temperature. Solve the problem for T(x,y) at steady-
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Q HW3 - EML 6154 HW 3 Due Wednesday 9/23/09 A) Work Problem...

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