Self-similar unsteady flow of a sisko fluid in a cylindrical tube undergoing translation
type: Item
instance of: scholarly article
title: Self-similar unsteady flow of a sisko fluid in a cylindrical tube undergoing translation
zbMATH Open document ID: 1394.76002
DOI: 10.1155/2015/135424
author: D. P. Mason
author: F. M. Mahomed
author: Masood Khan
author: Shirley Abelman
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: The governing nonlinear equation for unidirectional flow of a Sisko fluid in a cylindrical tube due to translation of the tube wall is modelled in cylindrical polar coordinates. The exact steady-state solution for the nonlinear problem is obtained. The reduction of the nonlinear initial value problem is carried out by using a similarity transformation. The partial differential equation is transformed into an ordinary differential equation, which is integrated numerically taking into account the influence of the exponent \(n\) and the material parameter \(b\) of the Sisko fluid. The initial approximation for the fluid velocity on the axis of the cylinder is obtained by matching inner and outer expansions for the fluid velocity. A comparison of the velocity, vorticity, and shear stress of Newtonian and Sisko fluids is presented.
Mathematics Subject Classification ID: 76A05
zbMATH DE Number: 6925546
Wikidata QID: Q59117339
describes a project that uses: bvp4c
describes a project that uses: Matlab
describes a project that uses: MATLAB ODE suite
describes a project that uses: ode23s
describes a project that uses: ode23
describes a project that uses: ode45
describes a project that uses: Ode15s
describes a project that uses: ode113
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/135424
OpenAlex ID: W1635935674
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description: scientific article; zbMATH DE number 6925546