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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2010, 15(5), 962-966;

Analytical Solutions of Nano Boundary Layer Flows by Using He's Homotopy Perturbation Method

1 and 2,*
Departments of Mechanical Engineering, Islamic azad university-Sari branch-Sari,Mazandaran, Iran
Departments of Civil and Mechanical Engineering, University of Babol Noshivani, Babol, Mazandaran, Iran
Author to whom correspondence should be addressed.
Received: 31 December 2010 / Accepted: 31 December 2010 / Published: 31 December 2010
PDF [102 KB, uploaded 8 April 2016]


The aim of this article is to examine nano boundary layer. The equations governing the flow on wedge are derived from continuity and Navier-Stoks equations. The boundary conditions for the governing equations are obtained from the nonlinear Navier slip condition. This boundary condition contains an arbitrary index parameter, denoted by n > 0, which appears in the coefficients of the ordinary differential equation to be solved. The coupled equations are transformed into one differential equation by similarity solution. The transformed equation is then solved by He’s Homotopy perturbation method and an analytical solution will be achieved. The validity of results is verified by comparing results with existing numerical results. Results are presented for the x and y components of the velocity profiles. Results are in reasonable agreement with those provided by other numerical methods and demonstrate a good accuracy of the obtained analytical solutions.
Keywords: nano boundary; Homotopy Perturbation Method (HPM); Navier boundary nano boundary; Homotopy Perturbation Method (HPM); Navier boundary
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Khaki, M.; Ganji, D. Analytical Solutions of Nano Boundary Layer Flows by Using He's Homotopy Perturbation Method. Math. Comput. Appl. 2010, 15, 962-966.

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