An axisymmetric squeezing fluid flow between the two infinite parallel plates in a porous medium channel
type: Item
instance of: scholarly article
title: An axisymmetric squeezing fluid flow between the two infinite parallel plates in a porous medium channel
zbMATH Open document ID: 1213.76198
DOI: 10.1155/2011/349803
author: Hamid Khan
author: I. A. Shah
author: Gul Zaman
author: S. Islam
published in: Mathematical Problems in Engineering
publication date: 2011-06-07T00:00:00Z
full work available at URL: https://eudml.org/doc/230466
review text: Summary: The flow between two large parallel plates approaching each other symmetrically in a porous medium is studied. The Navier-Stokes equations have been transformed into an ordinary nonlinear differential equation using a transformation \(\psi(r, z) = r^2 F(z)\). Solution to the problem is obtained by using differential transform method (DTM) by varying different Newtonian fluid parameters and permeability of the porous medium. Result for the stream function is presented. Validity of the solutions is confirmed by evaluating the residual in each case, and the proposed scheme gives excellent and reliable results. The influence of different parameters on the flow has been discussed and presented through graphs.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 5904887
MaRDI profile type: Publication
OpenAlex ID: W1995589728
Wikidata QID: Q58692943
cites work: Stokes' first problem for a second grade fluid in a porous half-space with heated boundary
cites work: Q3568481
cites work: A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles
cites work: An alternative approach to exact solutions of a special class of Navier-Stokes flows
cites work: Q5489014
cites work: Boundary and inertia effects on flow and heat transfer in porous media
cites work: Squeeze flows of apparently lubricated thin films
cites work: An explicit series solution of the squeezing flow between two infinite plates by means of the homotopy analysis method
cites work: Q5736031
cites work: Unsteady MHD squeezing flow between two parallel rotating discs
cites work: Applications of differential transform methods to differential-algebraic equations
cites work: Differential transform method applied to high index differential-algebraic equations
cites work: On the two-dimensional differential transform method
cites work: Comparison differential transformation technique with adomian decomposition method for linear and nonlinear initial value problems
cites work: Q5479778
cites work: Analytical approach to the Darcy-Lapwood-Brinkman equation
cites work: The effective viscosity of a channel-type porous medium
cites work: Application of the optimal homotopy asymptotic method to squeezing flow
description: scientific article; zbMATH DE number 5904887