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(Solved): Determine the steady state temperature distribution in the semi-infinite metal plate shown in figure ...



Determine the steady state temperature distribution in the semi-infinite metal plate shown in figure. The temperature of the two horizontal borders is kept as zero while the left boundary is

200\deg C

. Use Separation of Variables Method,

T(x,y)=x(x)Y(y)

, to solve the problem. Start with the

Y(y)

part and remember that the temperature of the plate should have a finite value even at

x->\infty

. (

50pts


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