Derive the transient-finite-difference equation for node


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Q: A thin rod of diameter D is initially in equilibrium with its surroundings, a large vacuum enclosure at temperature Tsur. Suddenly an electrical current I (A) is passed through the rod having an electrical resistivity Pe and emissivity e. Other pertinent thermo physical properties are identified in the sketch. Derive the transient, finite-difference equation for node m.

1690_Thin rod.jpg

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Mechanical Engineering: Derive the transient-finite-difference equation for node
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