Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 1, Issue 2


Published
on

November 1, 2016


Pages

507-516


DOI

Article

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

Check for updates


Authors

Vishwanath B. Awati Affiliation:
Department of Mathematics, Rani Channamma University, Belagavi-591 156, India
and Manjunath Jyoti Affiliation:
Department of Mathematics, Rani Channamma University, Belagavi, 591 156 India


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.


Keywords

Porous slider, Reynolds number, HAM, Homotopy-Pade’ approximations, 76-xx, 76Sxx, 34-xx


Citation

Awati, V. B. & Jyoti, M. (2016). Homotopy analysis method for the solution of lubrication of a long porous slider. Applied Mathematics and Nonlinear Sciences, 1(2), 507–516. https://doi.org/10.21042/AMNS.2016.2.00040

Published by: Engineering Journals

Engineering Journals Logo