- #1
happyparticle
- 431
- 20
- Homework Statement
- Consider the steady flow pattern produced when an impenetrable rigid spherical obstacle is placed in a uniformly flowing, incompressible, inviscid fluid. Find a solution for the potential flow around the sphere.
- Relevant Equations
- ##\nabla^2 \phi = 0##
I tried to find a solution to the Laplace equation using spherical coordinates and the separable variable method. However, I found equations that I simply don't know how to find a solution. Thus, I tried in cylindrical coordinates with an invariance in ##\theta## but now I'm facing this equation.
##\frac{1}{s} \frac{d}{ds}(s \frac{dS}{ds}) = -k^2 S##
Is there a fairly simple solution for it or should I find another way to do this problem?
##\frac{1}{s} \frac{d}{ds}(s \frac{dS}{ds}) = -k^2 S##
Is there a fairly simple solution for it or should I find another way to do this problem?