Question

A cylindrical rod of length L extents from a base wall of constant temperature To. Inside the rod heat is produced due to electrical dissipation at a constant volumetric rate of So. Tip of the fin is insulated. Ambient temperature is Ta and heat transfer coefficient h between rod and surroundings may be assumed constant. Calculate steady state temperature profile in the rod and rate of heat loss to the surroundings.

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It's a heat transfer question.
A stainless steel fin with a constant base temperature (900K)
and with an insulated end. Apply convection at all cylindrical
surfaces except the base and the tip. The convection coefficient, h
= 50 W/(m2·K), and fluid temperature of T∞ =
300K. Plot the temperature distribution along the center
axis line (T vs x). Include a contour plot across the
cross section of the fin. Assume zero contact resistance between
the sections.
K=19.8W/m-k Cp=557J/Kg-K Rho= 7900Kg/m^3...

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