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  4. Effect of suction and MHD induced Navier slip flow due to a non-linear stretching/shrinking sheet

Effect of suction and MHD induced Navier slip flow due to a non-linear stretching/shrinking sheet

MMC.
2022;
Volume 9, Number 1
: pp. 83–91
https://doi.org/10.23939/mmc2022.01.083
Received: July 07, 2021
Accepted: November 16, 2021

Mathematical Modeling and Computing, Vol. 9, No. 1, pp. 83–91 (2022)

Authors:
  1. N. S. Alias
  2. M. E. H. Hafidzuddin
1
Department of Mathematics, Universiti Putra Malaysia
2
Centre of Foundation Studies for Agricultural Science, Universiti Putra Malaysia

In this study, a problem of a magnetohydrodynamic (MHD) induced Navier slip flow over a non-linear stretching and shrinking sheet with the existence of suction is considered.  Similarity transformation is used to transform the governing nonlinear partial differential equations into a system of nonlinear ordinary equations.  The transformed ordinary differential equations are then solved by using the Shooting Method in Maple software.  Dual solutions are obtained for certain governing parameters.  The results obtained show that suction improves skin friction, while the slip parameter reduces shear wall stress.  Moreover, it is established that the range of dual solutions for stretching sheet is smaller compared to the shrinking case.

MHD
Navier slip
stretching/shrinking sheet
non-linear
dual solution
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