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Research Papers

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

[+] Author and Article Information
R. Nandkeolyar

School of Mathematics,
Thapar Institute of Engineering and Technology,
Patiala 147004, India
e-mail: rajnandkeolyar@gmail.com

M. Narayana

Department of Mathematics,
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;
School of Mathematics, Statistics
and Computer Science,
University of KwaZulu-Natal,
Private Bag X01, Scottsville,
Pietermaritzburg 3209, South Africa

P. Sibanda

School of Mathematics, Statistics
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 10(6), 061005 (Aug 06, 2018) (11 pages) Paper No: TSEA-17-1506; doi: 10.1115/1.4040644 History: Received December 27, 2017; Revised May 01, 2018

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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Figures

Grahic Jump Location
Fig. 1

Geometry of the Problem

Grahic Jump Location
Fig. 2

Solution error for f(η,ξ)

Grahic Jump Location
Fig. 3

Solution error for g(η,ξ)

Grahic Jump Location
Fig. 4

Solution error for θ(η,ξ)

Grahic Jump Location
Fig. 5

Variations in (a) f′, (b) g′, and (c) θ with respect to Mf when Prm=0.1,Pr=10,β=2,λ=10,Ec=0.4, and ξ=0.2

Grahic Jump Location
Fig. 6

Variations in (a) f′, (b) g′, and (c) θ with respect to β when Prm=0.1,Pr=10,Mf=0.1,λ=10,Ec=0.4, and ξ=0.2

Grahic Jump Location
Fig. 7

Variations in (a) f′, (b) g′, and (c) θ with respect to λ when Prm=0.1,Pr=10,Mf=0.1,β=2,Ec=0.4, and ξ=0.2

Grahic Jump Location
Fig. 8

Variations in (a) f′, (b) g′, and (c) θ with respect to Ec when Prm=0.1,Pr=10,Mf=0.1,β=2,λ=10, and ξ=0.2

Grahic Jump Location
Fig. 9

Variations in (a) f′, (b) g′, and (c) θ with respect to ξ when Prm=0.1,Pr=10,Mf=0.1,β=2,λ=10, and Ec = 0.4

Grahic Jump Location
Fig. 10

Variations in (a) skin-friction f″(ξ,0) and (b) Nusselt number −θ′(ξ,0) with respect to Mf and ξ when Prm=0.1,Pr=10,β=2,λ=10, and Ec = 0.4

Grahic Jump Location
Fig. 11

Variations in (a) skin-friction f″(ξ,0) and (b) Nusselt number −θ′(ξ,0) with respect to β and ξ when Prm=0.1,Pr=10,Mf=0.1,λ=10, and Ec = 0.4

Grahic Jump Location
Fig. 12

Variations in (a) skin-friction f″(ξ,0) and (b) Nusselt number −θ′(ξ,0) with respect to λ and ξ when Prm=0.1,Pr=10,Mf=0.1,β=2, and Ec = 0.4

Grahic Jump Location
Fig. 13

Variations in (a) skin-friction f″(ξ,0) and (b) Nusselt number −θ′(ξ,0) with respect to Ec and ξ when Prm=0.1,Pr=10,Mf=0.1,β=2, and λ = 10

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