Solved: When there is heat transfer from the lateral side of an infinite circular
Chapter 14, Problem 11(choose chapter or problem)
When there is heat transfer from the lateral side of an infinite circular cylinder of radius 1 (see FIGURE 14.2.6) into a surrounding medium at temperature zero, the temperature inside the cylinder is determined from
\(k\left(\frac{\partial^{2} u}{\partial r^{2}}+\frac{1}{r} \frac{\partial u}{\partial r}\right)=\frac{\partial u}{\partial t}\), 0<r<1, t>0
\(\left.\frac{\partial u}{\partial r}\right|_{r=1}=-h u(1, t)\), h>0, t>0
u(r, 0)=f(r), 0<r<1
Solve for u(r, t).
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer