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Numerical and analytical solutions of an Oldroyd 8‐constant MHD fluid with nonlinear slip conditions
Author(s) -
Hameed M.,
Ellahi R.
Publication year - 2010
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2411
Subject(s) - magnetohydrodynamics , slip (aerodynamics) , nonlinear system , constant (computer programming) , mechanics , computational fluid dynamics , physics , mathematics , classical mechanics , mathematical analysis , plasma , thermodynamics , computer science , quantum mechanics , programming language
SUMMARY The flow of an Oldroyd 8‐constant non‐Newtonian MHD fluid is investigated analytically and numerically. The governing equations for the flow field are derived for a steady one‐dimensional flow. The effect of constant applied magnetic field is included and its influence on the flow field is studied. The nonlinear governing equation along with nonlinear boundary conditions is solved analytically and the solution is obtained in an elegant way. Numerical solutions are also obtained using higher order Chebyshev spectral methods. The influence of various non‐Newtonian parameters and applied magnetic field is investigated. Results showing the effect of various physical parameters of the flow are presented and investigated. Copyright © 2010 John Wiley & Sons, Ltd.