Hydromagnetic 3D Williamson slip flow of nanofluid over a slendering sheet with Cattaneo-Christov heat flux

AUTHOR AND
AFFILIATION

P. DURGA PRASAD (durga.prsd@gmail.com)
Department of Mathematics, Sri Venkateswara University, Tirupathi, 517502-A.P. (India)
S.V.K. VARMA
Department of Mathematics, Sri Venkateswara University, Tirupathi, 517502-A.P. (India)

KEYWORDS:

Magnetohydrodynamics, porosity, 3D, incompressible viscous flows, AMS 2010 Classifications: 76Wxx, 76Sxx, 36T30, 76Dxx

Issue Date:

November, 2017

Pages:

468-484

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.29 – No.11

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DOI:

http://dx.doi.org/10.22147/jusps-A/291101

ABSTRACT:

A theoretical and computational study of a magnetohydrodynamic and three-dimensional flow over a variable thickness sheet (slendering sheet) with Cattaneo-Christov heat flux is presented. The Williamson slip is considered at the modified boundary conditions. The Williamson slip model is employed which is representative of certain industrial polymers. The non-dimensional, transformed boundary layer equations for momentum, energy and species diffusion are transformed with appropriate boundary conditions. The non-linear ordinary differential equations (ODEs) are solved using the Runge-Kutta-Fehlberg integration method. Validation of the numerical solutions is achieved via bench marking with earlier published work. The influence of Williamson slip suppresses the momentum boundary layers thickness and enhances the thermal solutal boundary layer thickness. Graphically studied thermal relaxation parameter, wall thickness parameter, porosity parameter, Brownian motion and thermophoresis parameters.

Copy the following to cite this Article:

P. D. Prasad; S. Varma, “Hydromagnetic 3D Williamson slip flow of nanofluid over a slendering sheet with Cattaneo-Christov heat flux”, Journal of Ultra Scientist of Physical Sciences, Volume 29, Issue 11, Page Number 468-484, 2017


Copy the following to cite this URL:

P. D. Prasad; S. Varma, “Hydromagnetic 3D Williamson slip flow of nanofluid over a slendering sheet with Cattaneo-Christov heat flux”, Journal of Ultra Scientist of Physical Sciences, Volume 29, Issue 11, Page Number 468-484, 2017

Available from: http://www.ultrascientist.org/paper/864/hydromagnetic-3d-williamson-slip-flow-of-nanofluid-over-a-slendering-sheet-with-cattaneo-christov-heat-flux


A theoretical and computational study of a magnetohydrodynamic and three-dimensional flow over a variable thickness sheet (slendering sheet) with Cattaneo-Christov heat flux is presented. The Williamson slip is considered at the modified boundary conditions. The Williamson slip model is employed which is representative of certain industrial polymers. The non-dimensional, transformed boundary layer equations for momentum, energy and species diffusion are transformed with appropriate boundary conditions. The non-linear ordinary differential equations (ODEs) are solved using the Runge-Kutta-Fehlberg integration method. Validation of the numerical solutions is achieved via bench marking with earlier published work. The influence of Williamson slip suppresses the momentum boundary layers thickness and enhances the thermal solutal boundary layer thickness. Graphically studied thermal relaxation parameter, wall thickness parameter, porosity parameter, Brownian motion and thermophoresis parameters.