Analytical method in solving flow of viscoelastic fluid in a porous converging channel
type: Item
instance of: scholarly article
title: Analytical method in solving flow of viscoelastic fluid in a porous converging channel
zbMATH Open document ID: 1217.76046
DOI: 10.1155/2011/257903
author: M. Esmaeilpour
author: Naeem Roshan
author: Negar Roshan
author: G. Domairry
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2011-07-22T00:00:00Z
review text: Summary: An analytical method, called homotopy perturbation method (HPM), is used to compute an approximation to the solution of the nonlinear differential equation governing the problem of two-dimensional and steady flow of a second-grade fluid in a converging channel. The table and figures are presented for influencing various parameters on the velocity field. The results compare well with those obtained by the numerical method. The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in mathematical physics.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 5930197
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/257903
OpenAlex ID: W2073303440
cites work: Laminar Flow in Channels with Porous Walls
cites work: Q5723766
cites work: Slow laminar flow in a converging or diverging channel with suction at one wall and blowing at the other wall
cites work: Maxwell fluid suction flow in a channel
cites work: Q5848713
cites work: Steady two dimensional incompressible laminar visco-elastic flow in a converging or diverging channel with suction and injection
cites work: Anomalous features in the model of ''second order fluids''
cites work: Solving frontier problems of physics: the decomposition method
cites work: Noise terms in decomposition solution series
cites work: A new method for solving singular initial value problems in the second-order ordinary differential equations
cites work: Non-perturbative solution of free-convective boundary-layer equation by Adomian decomposition method
cites work: Homotopy perturbation technique
cites work: A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
cites work: Homotopy perturbation method for bifurcation of nonlinear problems
cites work: Application of homotopy perturbation method to nonlinear wave equations
cites work: SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
cites work: Construction of solitary solution and compacton-like solution by variational iteration method
cites work: Homotopy-perturbation method for pure nonlinear differential equation
cites work: Application of He's homotopy perturbation method to Volterra's integro-differential equation
cites work: Application of He's homotopy perturbation method to boundary layer flow and convection heat transfer over a flat plate
cites work: Variational iteration method -- a kind of non-linear analytical technique: Some examples
cites work: Variational iteration method for autonomous ordinary differential systems
cites work: Variational Theory for Linear Magneto-Electro-Elasticity
cites work: Variational principles for some nonlinear partial differential equations with variable coefficients
cites work: Two-dimensional differential transform method, Adomian's decomposition method, and variational iteration method for partial differential equations
cites work: Numerical simulation of the generalized regularized long wave equation by He's variational iteration method
cites work: Variational iteration method for one-dimensional nonlinear thermoelasticity
Wikidata QID: Q58687699
description: scientific article; zbMATH DE number 5930197