Slip MHD liquid flow and heat transfer over non-linear permeable stretching surface with chemical reaction

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Abstract

In the present study the magnetohydrodynamic (MHD) liquid flow and heat transfer over non-linear permeable stretching surface has been presented in the presence of chemical reactions and partial slip. By means of proper similarity variables, the fundamental equations of the boundary layer are transformed to ordinary differential equations which for the fixed values of the x-coordinate along the plate local similarity solution would be valid appropriately. The ordinary differential equations are solved numerically using an explicit Runge-Kutta (4, 5) formula, the Dormand-Prince pair and shooting method. As a result, the velocity profiles, the concentration profiles, temperature profiles, the wall shear stress, the local Sherwood number and the local Nusselt number for the various values of the involved parameters of the problem are presented and discussed in details.

Original languageEnglish
Pages (from-to)3214-3225
Number of pages12
JournalInternational Journal of Heat and Mass Transfer
Volume54
Issue number15-16
DOIs
Publication statusPublished - Jul 2011

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liquid flow
Magnetohydrodynamics
Ordinary differential equations
magnetohydrodynamics
Stretching
Chemical reactions
chemical reactions
slip
differential equations
heat transfer
Heat transfer
Liquids
Nusselt number
temperature profiles
shear stress
Shear stress
boundary layers
Boundary layers
velocity distribution
profiles

Keywords

  • Local similarity solution
  • MHD flow
  • Navier-Stokes equations
  • Slip boundary condition

ASJC Scopus subject areas

  • Mechanical Engineering
  • Condensed Matter Physics
  • Fluid Flow and Transfer Processes

Cite this

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title = "Slip MHD liquid flow and heat transfer over non-linear permeable stretching surface with chemical reaction",
abstract = "In the present study the magnetohydrodynamic (MHD) liquid flow and heat transfer over non-linear permeable stretching surface has been presented in the presence of chemical reactions and partial slip. By means of proper similarity variables, the fundamental equations of the boundary layer are transformed to ordinary differential equations which for the fixed values of the x-coordinate along the plate local similarity solution would be valid appropriately. The ordinary differential equations are solved numerically using an explicit Runge-Kutta (4, 5) formula, the Dormand-Prince pair and shooting method. As a result, the velocity profiles, the concentration profiles, temperature profiles, the wall shear stress, the local Sherwood number and the local Nusselt number for the various values of the involved parameters of the problem are presented and discussed in details.",
keywords = "Local similarity solution, MHD flow, Navier-Stokes equations, Slip boundary condition",
author = "Yazdi, {M. H.} and Shahrir Abdullah and Ishak Hashim and Kamaruzzaman Sopian",
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T1 - Slip MHD liquid flow and heat transfer over non-linear permeable stretching surface with chemical reaction

AU - Yazdi, M. H.

AU - Abdullah, Shahrir

AU - Hashim, Ishak

AU - Sopian, Kamaruzzaman

PY - 2011/7

Y1 - 2011/7

N2 - In the present study the magnetohydrodynamic (MHD) liquid flow and heat transfer over non-linear permeable stretching surface has been presented in the presence of chemical reactions and partial slip. By means of proper similarity variables, the fundamental equations of the boundary layer are transformed to ordinary differential equations which for the fixed values of the x-coordinate along the plate local similarity solution would be valid appropriately. The ordinary differential equations are solved numerically using an explicit Runge-Kutta (4, 5) formula, the Dormand-Prince pair and shooting method. As a result, the velocity profiles, the concentration profiles, temperature profiles, the wall shear stress, the local Sherwood number and the local Nusselt number for the various values of the involved parameters of the problem are presented and discussed in details.

AB - In the present study the magnetohydrodynamic (MHD) liquid flow and heat transfer over non-linear permeable stretching surface has been presented in the presence of chemical reactions and partial slip. By means of proper similarity variables, the fundamental equations of the boundary layer are transformed to ordinary differential equations which for the fixed values of the x-coordinate along the plate local similarity solution would be valid appropriately. The ordinary differential equations are solved numerically using an explicit Runge-Kutta (4, 5) formula, the Dormand-Prince pair and shooting method. As a result, the velocity profiles, the concentration profiles, temperature profiles, the wall shear stress, the local Sherwood number and the local Nusselt number for the various values of the involved parameters of the problem are presented and discussed in details.

KW - Local similarity solution

KW - MHD flow

KW - Navier-Stokes equations

KW - Slip boundary condition

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