Consider the heat conduction in a half disk of radius c, with the bottom flat side insulated and the boundary tempera- ture on the circular arc prescribed. Temperature = f(0) Insulated (a) Write down the complete boundary value problem for the steady state temperature v(r, 0) in polar coordinates. (b) Find all nontrivial product solutions v(r, 0) = R(r)Q(0) #0 of the partial differential equation along with the homogeneous conditions you gave in (a).

Consider the heat conduction in a half disk of radius c, with the bottom flat side insulated and the boundary tempera- ture on the circular arc prescribed. Temperature = f(0) Insulated (a) Write down the complete boundary value problem for the steady state temperature v(r, 0) in polar coordinates. (b) Find all nontrivial product solutions v(r, 0) = R(r)Q(0) #0 of the partial differential equation along with the homogeneous conditions you gave in (a).

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter4: Numerical Analysis Of Heat Conduction

Section: Chapter Questions

Problem 4.21P

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