Analytic approximate solution of three-dimensional Navier-Stokes equations of flow between two stretchable disks

The similarity transform for the steady three‐dimensional Navier‐Stokes equations of flow between two stretchable disks gives a system of nonlinear ordinary differential equations which is analytically solved by applying a newly developed method, namely, the homotopy analysis method. The analytic so...

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Bibliographic Details
Published in:Numerical methods for partial differential equations 2010-11, Vol.26 (6), p.1594-1607
Main Authors: Dinarvand, Saeed, Rashidi, Mohammad Mehdi, Shahmohamadi, Hamed
Format: Article
Language:English
Subjects:
convergence
homotopy analysis method
stretchable disks
system of nonlinear ordinary differential equations
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Summary:The similarity transform for the steady three‐dimensional Navier‐Stokes equations of flow between two stretchable disks gives a system of nonlinear ordinary differential equations which is analytically solved by applying a newly developed method, namely, the homotopy analysis method. The analytic solutions of the system of nonlinear ordinary differential equations are constructed in the series form. The convergence of the obtained series solutions is analyzed. The validity of our solutions is verified by the numerical results. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010
ISSN:0749-159X
1098-2426
DOI:10.1002/num.20514