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  3. 2 steadystate heat conduction in a circular annulus consider the...

Question: 2 steadystate heat conduction in a circular annulus consider the...

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2. Steady-state heat conduction in a circular annulus. Consider the conduction of heat in a circular annulus of inner radius r 1 and outer radius r 72, where r Vy is the radial distance from the origin. It can be shown that for constant material properties the temperature, u u(r, t), obeys where к is the constant diffusivity. (a) (15 pts) Solve for the steady state temperature uu) subject to (b) (5 pts) Next let ri 0 so that instead of annulus. you have a circular the boundary conditions that1and us(2) 100. disk. Evaluate the steady state temperature uss(r) for u finite at the center of the disk (r 0) and u(r2) 100.
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