The one step optimal homotopy analysis method to circular porous slider
type: Item
instance of: scholarly article
title: The one step optimal homotopy analysis method to circular porous slider
zbMATH Open document ID: 1264.76078
DOI: 10.1155/2012/135472
author: M. Ghoreishi
author: Abdur Rashid
author: Ahmad Izani Bin Md. Ismail
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: An incompressible Newtonian fluid is forced through the porous of a circular slider which is moving laterally on a horizontal plan. In this paper, we introduce and apply the one step Optimal Homotopy Analysis Method (one step OHAM) to the problem of the circular porous slider where a fluid is injected through the porous bottom. The effects of mass injection and lateral velocity on the heat generated by viscous dissipation are investigated by solving the governing boundary layer equations using one step optimal homotopy technique. The approximate solution for the coupled nonlinear ordinary differential equations resulting from the momentum equation is obtained and discussed for different values of the Reynolds number of the velocity field. The solution obtained is also displayed graphically for various values of the Reynolds number and it is shown that the one step OHAM is capable of finding the approximate solution of circular porous slider.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76A15
zbMATH DE Number: 6173046
Wikidata QID: Q58912468
describes a project that uses: BVPh
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/135472
OpenAlex ID: W2088939202
cites work: Laminar Flow in Channels with Porous Walls
cites work: An example of steady laminar flow at large Reynolds number
cites work: Fluid Dynamics of the Circular Porous Slider
cites work: Beyond Perturbation
cites work: Homotopy Analysis Method in Nonlinear Differential Equations
cites work: Application of the homotopy analysis method for solving a model for HIV infection of CD4\(^{+}\) T-cells
cites work: Homotopy analysis method for solving fractional Lorenz system
cites work: Modified homotopy analysis method for solving systems of second-order BVPs
cites work: Solutions of the SIR models of epidemics using HAM
cites work: An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate
cites work: Some solutions of the linear and nonlinear Klein-Gordon equations using the optimal homotopy asymptotic method
cites work: Reply to ``Comments on `A one-step optimal homotopy analysis method for nonlinear differential equations'''
cites work: An optimal homotopy-analysis approach for strongly nonlinear differential equations
cites work: Computer extended series solution of the circular porous slider
cites work: Accurate analytical solutions to oscillators with discontinuities and fractional-power restoring force by means of the optimal homotopy asymptotic method
description: scientific article; zbMATH DE number 6173046