Compute the solution (Psi) of the pde (20.26) for the Chaplygin-Lamb dipole streamfunction [ frac{partial^{2} Psi}{partial r^{2}}+frac{1}{r}
Question:
Compute the solution \(\Psi\) of the pde (20.26) for the Chaplygin-Lamb dipole streamfunction
\[ \frac{\partial^{2} \Psi}{\partial r^{2}}+\frac{1}{r} \frac{\partial \Psi}{\partial r}+\frac{1}{r^{2}} \frac{\partial^{2} \Psi}{\partial \theta^{2}}=-\omega \]
for \(\omega(r, \theta)=n^{2} \Psi(r, \theta)\) requiring continuity of velocity across the cylinder surface \(r=a\). Plot streamlines and vorticity within the cylinder.
pde (20.26)
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Related Book For
Navier Stokes Turbulence Theory And Analysis
ISBN: 9783030318697
1st Edition
Authors: Wolfgang Kollmann
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