If the boundary conditions for the annular plate in Figure 13.1.7 are
where u0 and u1 are constants, show that the steady-state temperature is given by
[Hint: Try a solution of the form u(r, θ) = v(r, θ) + ψ(r).]
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Differential Equations with Boundary-Value Problems (MindTap Course List)
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,