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1. In class, we examined solutions to the heat equation where there the boundary conditions were either fixed temperatures or zero temperature gradients. In

1. In class, we examined solutions to the heat equation where there the boundary conditions were either fixed temperatures or  

1. In class, we examined solutions to the heat equation where there the boundary conditions were either fixed temperatures or zero temperature gradients. In many cases of practical interests, such as a cooling fin dissipating heat from a CPU, the boundary condition is fixed heat flux, qin. For example for a boundary at x = 0: gin -k 0 Using a one-sided approximation for the first derivative, T T-Tio Ax show that the appropriate value for the temperature at the boundary node, To, is. Ax To Ti+qin k

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