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Develop the difference equation for a control volume

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Q: How would you treat a radiation heat transfer boundary condition for a one-dimensional steady problem? Develop the difference equation for a control volume near the boundary and explain how to solve the entire system of difference equations. Assume that the heat flux at the surface is q = e If (Ts4 - Te4) where Ts is the surface temperature and Te is the temperature of an enclosure surrounding the surface.

GIVEN

Radiation boundary condition

One-dimensional steadyconduction

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Mechanical Engineering: Develop the difference equation for a control volume

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