Discuss transient-finite-difference equation for node


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Q: A thin circular disk is subjected to induction heating from a coil the effect of which is to provide a uniform heat generation within a ring section as shown. Convection occurs at the upper surface, while the lower surface is well insulated.

(a) Derive the transient, finite-difference equation for node m, which is within the region subjected to induction heating.

(b) On T - r coordinates sketch, in a qualitative manner the steady-state temperature distribution, identifying important features.

312_Circular disk.jpg

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Mechanical Engineering: Discuss transient-finite-difference equation for node
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