Solve Laplaces equation inside a 90 sector of a circular annulus (a < r < b, 0 < < /2)
Chapter 2, Problem 2.4.16(choose chapter or problem)
Solve Laplaces equation inside a 90 sector of a circular annulus (a < r < b, 0 < < /2) subject to the boundary conditions [Hint: In polar coordinates, 2u = 1 r r r u r + 1 r2 2u 2 = 0, it is known that if u(r, ) = () G(r), then r G d dr r dG dr = 1 d2 d2 .]: (a) u(r, 0) = 0, u(r, /2) = 0, u(a, ) = 0, u(b, ) = f() (b) u(r, 0) = 0, u(r, /2) = f(r), u(a, ) = 0, u(b, )=0 2
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