<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this article, the lubrication of a long porous slider in which the fluid is injected into the porous bottom is considered. The similarity transformations reduce the governing problem of Navier-Stokes equations to coupled nonlinear ordinary differential equations which are solved by HAM. Solutions are obtained for much larger values of Reynolds number compared to analytical and numerical methods. The results comprise good agreement between approximate and numerical solutions. HAM gives rapid convergent series solutions which show that this method is efficient, accurate and has advantages over other methods. Further, homotopy-pade’ technique is used to accelerate the convergence of series solution.</p></abstract>

In this article, the lubrication of a long porous slider in which the fluid is injected into the porous bottom is considered. The similarity transformations reduce the governing problem of Navier-Stokes equations to coupled nonlinear ordinary differential equations which are solved by HAM. Solutions are obtained for much larger values of Reynolds number compared to analytical and numerical methods. The results comprise good agreement between approximate and numerical solutions. HAM gives rapid convergent series solutions which show that this method is efficient, accurate and has advantages over other methods. Further, homotopy-pade’ technique is used to accelerate the convergence of series solution.

Homotopy analysis method for the solution of lubrication of a long porous slider

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Homotopy analysis method for the solution of lubrication of a long porous slider"}

In this article, the lubrication of a long porous slider in which the fluid is injected into the porous bottom is considered. The similarity transformations...

Homotopy analysis method for the solution of lubrication of a long porous slider

Publicado en línea: 01 nov 2016

Páginas: 507 - 516

Recibido: 05 jun 2016

Aceptado: 01 nov 2016

DOI: https://doi.org/10.21042/AMNS.2016.2.00040

Palabras clave
Porous slider, Reynolds number, HAM, Homotopy-Pade’ approximations

© 2016 Vishwanath B.Awati, Manjunath Jyoti, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Homotopy analysis method for the solution of lubrication of a long porous slider

Publicado en línea: 01 nov 2016

Páginas: 507 - 516

Recibido: 05 jun 2016

Aceptado: 01 nov 2016

DOI: https://doi.org/10.21042/AMNS.2016.2.00040

Palabras clavePorous slider, Reynolds number, HAM, Homotopy-Pade’ approximations

© 2016 Vishwanath B.Awati, Manjunath Jyoti, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Palabras clave
Porous slider, Reynolds number, HAM, Homotopy-Pade’ approximations