Open Access
2009 An Application of Homotopy Analysis to the Viscous Flow Past a Circular Cylinder
E. O. Ifidon
J. Appl. Math. 2009: 1-17 (2009). DOI: 10.1155/2009/524307


We consider the application of a new analytic method based on homotopy analysis to the solution of the steady flow of a viscous incompressible fluid past a fixed circular cylinder. The solutions obtained using this method produce some interesting results. For instance, an analytic verification of the critical Reynolds number R d for which a standing vortex first appears behind the cylinder is given for the first time and found to be R d 2.4 . Since these values of the critical Reynolds number are beyond the range of validity of Oseen theory, no analytic verification of this value had previously been given. As a check on the accuracy of the solutions, the calculated drag coefficients at 6th-order approximation are found to agree reasonably well with experimental measurements for R d 30 which is considerably larger than the R d 1 results currently available using other analytic techniques. This buttresses the usefulness of the homotopy analysis method (HAM) as an important tool in solving highly nonlinear problems.


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E. O. Ifidon. "An Application of Homotopy Analysis to the Viscous Flow Past a Circular Cylinder." J. Appl. Math. 2009 1 - 17, 2009.


Published: 2009
First available in Project Euclid: 2 March 2010

zbMATH: 05628312
MathSciNet: MR2519615
Digital Object Identifier: 10.1155/2009/524307

Rights: Copyright © 2009 Hindawi

Vol.2009 • 2009
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