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Nonlinear system of equations in heat flow

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Nonlinear system of equations in heat flow

Hi,
I am a student working on a problem to design a hand dryer (heater). I believe all of my equations are correct and complete, but I am having a difficult time solving a nonlinear system of 8 equations and 8 unknowns (bottom of sheet). If somebody could please provide some help or advice as to how to fix this, I would surely appreciate it as I've been trying for hours on both Mathcad and MATLAB and have been unsuccesful thusfar.

Thanks in advance,
Bob
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