The steady hydromagnetic flow of a viscous, incompressible, perfectly conducting, and heat absorbing fluid past a vertical flat plate under the influence of an aligned magnetic field is studied. The flow is subject to mixed convective heat transfer. The fluid is assumed to have a reasonably high magnetic Prandtl number which causes significant-induced magnetic field effects. Such fluid flows find application in many magnetohydrodynamic devices including MHD power-generation. The effects of viscous dissipation and heat absorption by the fluid are investigated. The governing nonlinear partial differential equations are converted into a set of nonsimilar partial differential equations which are then solved using a spectral quasi-linearization method (SQLM). The effects of the important parameters on the fluid velocity, induced magnetic field, fluid temperature and as well as on the coefficient of skin-friction and the Nusselt number are discussed qualitatively.

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School of Mathematics,

Thapar Institute of Engineering and Technology,

Patiala 147004, India

e-mail: rajnandkeolyar@gmail.com
Department of Mathematics,

M. S. Ramaiah University of Applied Sciences,

Peenya Campus,

Bengaluru 560058, India
School of Mathematics, Statistics

and Computer Science,

University of KwaZulu-Natal,

Private Bag X01, Scottsville,

Pietermaritzburg 3209, South Africa
School of Mathematics, Statistics

and Computer Science,

University of KwaZulu-Natal,

Private Bag X01, Scottsville,

Pietermaritzburg 3209, South Africa

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December 2018

Research-Article

# Magnetohydrodynamic Mixed Convective Flow Due to a Vertical Plate With Induced Magnetic Field

R. Nandkeolyar,

R. Nandkeolyar

School of Mathematics,

Thapar Institute of Engineering and Technology,

Patiala 147004, India

e-mail: rajnandkeolyar@gmail.com

Thapar Institute of Engineering and Technology,

Patiala 147004, India

e-mail: rajnandkeolyar@gmail.com

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M. Narayana,

M. Narayana

Department of Mathematics,

M. S. Ramaiah University of Applied Sciences,

Peenya Campus,

Bengaluru 560058, India

M. S. Ramaiah University of Applied Sciences,

Peenya Campus,

Bengaluru 560058, India

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S. S. Motsa,

S. S. Motsa

Mathematics Department,

University of Swaziland,

Private Bag 4,

Kwaluseni M201, Swaziland;

University of Swaziland,

Private Bag 4,

Kwaluseni M201, Swaziland;

School of Mathematics, Statistics

and Computer Science,

University of KwaZulu-Natal,

Private Bag X01, Scottsville,

Pietermaritzburg 3209, South Africa

and Computer Science,

University of KwaZulu-Natal,

Private Bag X01, Scottsville,

Pietermaritzburg 3209, South Africa

Search for other works by this author on:

P. Sibanda

P. Sibanda

School of Mathematics, Statistics

and Computer Science,

University of KwaZulu-Natal,

Private Bag X01, Scottsville,

Pietermaritzburg 3209, South Africa

and Computer Science,

University of KwaZulu-Natal,

Private Bag X01, Scottsville,

Pietermaritzburg 3209, South Africa

Search for other works by this author on:

R. Nandkeolyar

Thapar Institute of Engineering and Technology,

Patiala 147004, India

e-mail: rajnandkeolyar@gmail.com

M. Narayana

M. S. Ramaiah University of Applied Sciences,

Peenya Campus,

Bengaluru 560058, India

S. S. Motsa

Mathematics Department,

University of Swaziland,

Private Bag 4,

Kwaluseni M201, Swaziland;

University of Swaziland,

Private Bag 4,

Kwaluseni M201, Swaziland;

and Computer Science,

University of KwaZulu-Natal,

Private Bag X01, Scottsville,

Pietermaritzburg 3209, South Africa

P. Sibanda

and Computer Science,

University of KwaZulu-Natal,

Private Bag X01, Scottsville,

Pietermaritzburg 3209, South Africa

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received December 27, 2017; final manuscript received May 1, 2018; published online August 6, 2018. Assoc. Editor: Ali J. Chamkha.

*J. Thermal Sci. Eng. Appl*. Dec 2018, 10(6): 061005 (11 pages)

**Published Online:**August 6, 2018

Article history

Received:

December 27, 2017

Revised:

May 1, 2018

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Citation

Nandkeolyar, R., Narayana, M., Motsa, S. S., and Sibanda, P. (August 6, 2018). "Magnetohydrodynamic Mixed Convective Flow Due to a Vertical Plate With Induced Magnetic Field." ASME. *J. Thermal Sci. Eng. Appl*. December 2018; 10(6): 061005. https://doi.org/10.1115/1.4040644

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