Existence results and numerical simulation of magnetohydrodynamic viscous flow over a shrinking sheet with suction

F. Talay Akyildiz; Dennis A. Siginer

doi:10.1016/j.mcm.2010.02.049

Existence results and numerical simulation of magnetohydrodynamic viscous flow over a shrinking sheet with suction

F. Talay Akyildiz
, Dennis A. Siginer

Mechanical, Energy and Industrial Engineering

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

This paper presents an analysis and a semi-analytical study of the boundary value problem resulting from a self-similar transformation of the partial differential equations governing the magnetohydrodynamic (MHD) viscous flow due to a shrinking sheet with suction. Existence of a solution is shown using the fixed point argument and the boundary value problem is solved. Galerkin-Legendre spectral method with domain truncation is used to obtain approximate analytical solutions. The approximate solutions computed confirm the theoretical analysis.

Original language	English
Pages (from-to)	346-354
Number of pages	9
Journal	Mathematical and Computer Modelling
Volume	52
Issue number	1-2
DOIs	https://doi.org/10.1016/j.mcm.2010.02.049
Publication status	Published - Jul 2010

All Science Journal Classification (ASJC) codes

Modelling and Simulation
Computer Science Applications

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10.1016/j.mcm.2010.02.049

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abstract = "This paper presents an analysis and a semi-analytical study of the boundary value problem resulting from a self-similar transformation of the partial differential equations governing the magnetohydrodynamic (MHD) viscous flow due to a shrinking sheet with suction. Existence of a solution is shown using the fixed point argument and the boundary value problem is solved. Galerkin-Legendre spectral method with domain truncation is used to obtain approximate analytical solutions. The approximate solutions computed confirm the theoretical analysis.",

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AU - Akyildiz, F. Talay

AU - Siginer, Dennis A.

PY - 2010/7

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N2 - This paper presents an analysis and a semi-analytical study of the boundary value problem resulting from a self-similar transformation of the partial differential equations governing the magnetohydrodynamic (MHD) viscous flow due to a shrinking sheet with suction. Existence of a solution is shown using the fixed point argument and the boundary value problem is solved. Galerkin-Legendre spectral method with domain truncation is used to obtain approximate analytical solutions. The approximate solutions computed confirm the theoretical analysis.

AB - This paper presents an analysis and a semi-analytical study of the boundary value problem resulting from a self-similar transformation of the partial differential equations governing the magnetohydrodynamic (MHD) viscous flow due to a shrinking sheet with suction. Existence of a solution is shown using the fixed point argument and the boundary value problem is solved. Galerkin-Legendre spectral method with domain truncation is used to obtain approximate analytical solutions. The approximate solutions computed confirm the theoretical analysis.

KW - Boundary layer

KW - Domain truncation

KW - Galerkin-Legendre spectral method

KW - MHD flow

KW - Schauder theory

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SP - 346

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JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 1-2

ER -

Existence results and numerical simulation of magnetohydrodynamic viscous flow over a shrinking sheet with suction

Abstract

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