# MHD boundary layer flow over an unsteady shrinking sheet: analytical and numerical approach

S. Nadeem, Rizwan Ul Haq, Chang Hoon Lee

Research output: Contribution to journalArticle

9 Citations (Scopus)

### Abstract

The present article deals with magnetohydrodynamic boundary layer flow of an incompressible viscous fluid due to unsteady shrinking surface. Mathematical model of this mechanism has been constructed in the form of partial differential equations and then rehabilitated for coupled non-linear ordinary differential equations using similarity transformations. Though various conjectures have been proposed to explain the concept of boundary layer flow, we are presenting Adomian decomposition method (ADM) to simulate the solution of the present model. We used the diagonal padé approximant to achieve the better convergence in the solution of ADM. For the sake of validation, Adomian’s solution is compared with the two different techniques (Optimal HAM and Runge–KuttaFelburge method). The velocity profiles for various embedded parameters have been plotted and examined. Numerical values of skin-friction coefficient are calculated against various values of emerging parameters.

Original language English 1339-1346 8 Journal of the Brazilian Society of Mechanical Sciences and Engineering 37 4 https://doi.org/10.1007/s40430-014-0261-9 Published - 2015 Jul 27

### Fingerprint

Boundary layer flow
Magnetohydrodynamics
Decomposition
Skin friction
Ordinary differential equations
Partial differential equations
Mathematical models
Fluids

### All Science Journal Classification (ASJC) codes

• Mechanical Engineering

### Cite this

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abstract = "The present article deals with magnetohydrodynamic boundary layer flow of an incompressible viscous fluid due to unsteady shrinking surface. Mathematical model of this mechanism has been constructed in the form of partial differential equations and then rehabilitated for coupled non-linear ordinary differential equations using similarity transformations. Though various conjectures have been proposed to explain the concept of boundary layer flow, we are presenting Adomian decomposition method (ADM) to simulate the solution of the present model. We used the diagonal pad{\'e} approximant to achieve the better convergence in the solution of ADM. For the sake of validation, Adomian’s solution is compared with the two different techniques (Optimal HAM and Runge–KuttaFelburge method). The velocity profiles for various embedded parameters have been plotted and examined. Numerical values of skin-friction coefficient are calculated against various values of emerging parameters.",
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MHD boundary layer flow over an unsteady shrinking sheet : analytical and numerical approach. / Nadeem, S.; Haq, Rizwan Ul; Lee, Chang Hoon.

In: Journal of the Brazilian Society of Mechanical Sciences and Engineering, Vol. 37, No. 4, 27.07.2015, p. 1339-1346.

Research output: Contribution to journalArticle

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AU - Lee, Chang Hoon

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