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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# 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

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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

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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

1

Corresponding 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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