Analytical solutions of nano boundary layer flows by using He's homotopy perturbation method
type: Item
instance of: scholarly article
title: Analytical solutions of nano boundary layer flows by using He's homotopy perturbation method
zbMATH Open document ID: 1219.35175
author: Juan-Miguel Gracia
published in: Mathematical \& Computational Applications
publication date: 2011-03-09T00:00:00Z
review text: Summary: The aim of this article is to examine nano boundary layer. The equations governing the flow on wedge are derived from continuity and Navier-Stokes 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 is 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.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35A24
Mathematics Subject Classification ID: 35B20
Mathematics Subject Classification ID: 76D50
Mathematics Subject Classification ID: 76M45
zbMATH DE Number: 5863418
zbMATH Keywords: nano boundary
zbMATH Keywords: homotopy perturbation method (HPM)
zbMATH Keywords: Navier boundary conditions
MaRDI profile type: Publication
full work available at URL: mca15050962
OpenAlex ID: W2189083453
DOI: 10.3390/MCA15050962
description: scientific article; zbMATH DE number 5863418