Two dimensional steady state conduction occurs in a hollow

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Reference no: EM13629535

Two dimensional, steady state conduction occurs in a hollow cylindrical solid of thermal conductivity k= 16w/mk outer r - 1m, length 2z0=5m, where the origin of the coordinate systerm is located at the mid point of the center line. the inner surface of the cylinder is insilated and the temp distribution has form T(r,z)=a+br^2+clnr+dz^2/ a =-20 b=150 c=-12 d=-300,

1. find the inner radius of cylinder/

2. expression of volumetric rate of heat generation.

3. determine axial distriution of heat flux at outer surface. what is the heat rate at outer srface. is into or out of cylinder.

4 determine the radial distribution of the heat flux at the end faces of cylinder, q''(r,+z0)and q''(r,-z0). what are the corresponding heat rate?

5. verify that your results are consistent with an over all energy balance on the cylinder.

Reference no: EM13629535

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