Effects of partial slip on axisymmetric flow of an electrically conducting viscoelastic fluid past a stretching sheet |
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Authors: | Bikash Sahoo |
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Institution: | (1) Department of Mathematics, M.U.C. Women’s College, Burdwan, West Bengal, 713104, India;(2) Department of Energy and Process Engineering, Norwegian University of Science and Technology, 7491 Trondheim, Norway |
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Abstract: | The entrained flow of an electrically conducting non-Newtonian, viscoelastic second grade fluid due to an axisymmetric stretching
surface with partial slip is considered. The partial slip is controlled by a dimensionless slip factor, which varies between
zero (total adhesion) and infinity (full slip). Suitable similarity transformations are used to reduce the resulting highly
nonlinear partial differential equation into an ordinary differential equation. The issue of paucity of boundary conditions
is addressed, and an effective numerical scheme has been adopted to solve the obtained differential equation even without
augmenting the boundary conditions. The important findings in this communication are the combined effects of the partial slip,
magnetic interaction parameter and the second grade fluid parameter on the velocity and skin friction coefficient. It is observed
that in presence of slip, the velocity decreases with an increase in the magnetic parameter. That is, the Lorentz force which
opposes the flow leads to enhanced deceleration of the flow. Moreover, it is interesting to find that as slip increases in
magnitude, permitting more fluid to slip past the sheet, the skin friction coefficient decreases in magnitude and approaches
zero for higher values of the slip parameter, i.e., the fluid behaves as though it were inviscid. |
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