Analytic approximate solution of three‐dimensional Navier‐Stokes equations of flow between two stretchable disks |
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| Authors: | Saeed Dinarvand Mohammad Mehdi Rashidi Hamed Shahmohamadi |
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| Affiliation: | Mechanical Engineering Department, Engineering Faculty of Bu‐Ali Sina University, Hamedan, Iran |
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| Abstract: | 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 |
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| Keywords: | convergence homotopy analysis method stretchable disks system of nonlinear ordinary differential equations |
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