Potential flow past a sinusoidal wall of finite amplitude
Abstract
The classical regular perturbation problem of plane potential flow past a sinusoidal wall is pursued via series extension. Fifty terms of the series in non-dimensional wall height ɛ are produced by computer. Analysis reveals convergence to be limited by a branch point at ɛ=±i. The series is recast using an Euler transformation and also summed using Padé approximants to yield accurate answers for higher real values of ɛ.
- Publication:
-
Journal of Engineering Mathematics
- Pub Date:
- September 1984
- DOI:
- Bibcode:
- 1984JEnMa..18..207W
- Keywords:
-
- Computational Fluid Dynamics;
- Perturbation Theory;
- Potential Flow;
- Surface Roughness Effects;
- Wall Flow;
- Convergence;
- Flow Velocity;
- Pade Approximation;
- Steady Flow;
- Two Dimensional Flow;
- Fluid Mechanics and Heat Transfer;
- Mathematical Modeling;
- Industrial Mathematic;
- Branch Point;
- Potential Flow;
- Finite Amplitude