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Research Papers

Unsteady Hydromagnetic Natural Convection Flow of a Dusty Fluid Past an Impulsively Moving Vertical Plate With Ramped Temperature in the Presence of Thermal Radiation

[+] Author and Article Information
R. Nandkeolyar

School of Mathematics, Statistics and
Computer Science,
University of Kwazulu-Natal,
Private Bag X01, Scottsville 3209,
Pietermaritzburg, South Africa
e-mail: rajnandkeolyar@gmail.com

G. S. Seth

Department of Applied Mathematics,
Indian School of Mines,
Dhanbad 86004, India
e-mail: gsseth_ism@yahoo.com

O. D. Makinde

Institute for Advance Researchin Mathematical Modelling and Computations,
Cape Peninsula University of Technology,
P.O. Box 1906, Bellville 7535, South Africa
e-mail: makinded@cput.ac.za

P. Sibanda

School of Mathematics, Statistics and
Computer Science,
University of Kwazulu-Natal,
Private Bag X01, Scottsville 3209,
Pietermaritzburg, South Africa
e-mail: sibandap@ukzn.ac.za

Md. S. Ansari

School of Petroleum Technology,
Pandit Deendayal Petroleum University,
Gandhinagar 382007, India
e-mail: shariffuddin@gmail.com

1Corresponding author.

Manuscript received April 21, 2012; final manuscript received March 1, 2013; accepted manuscript posted March 16, 2013; published online August 19, 2013. Assoc. Editor: Nesreen Ghaddar.

J. Appl. Mech 80(6), 061003 (Aug 19, 2013) (9 pages) Paper No: JAM-12-1162; doi: 10.1115/1.4023959 History: Received April 21, 2012; Revised March 01, 2013; Accepted March 16, 2013

Unsteady hydromagnetic natural convection boundary layer flow of a viscous, incompressible, and electrically conducting dusty fluid past an impulsively moving vertical plate with ramped temperature in the presence of thermal radiation and transverse magnetic field is studied. Exact solutions of the governing equations for fluid and particle velocities and fluid and particle temperatures are obtained in closed form by Laplace transform technique. To compare the results obtained in this case with that of an isothermal plate, exact solutions of the governing equations are also obtained for an isothermal plate. The expressions for the skin friction and Nusselt number are also derived for both ramped temperature and isothermal plates. Numerical values of fluid and particle velocities and fluid and particle temperatures are displayed graphically for various values of pertinent flow parameters for both ramped temperature and isothermal plates, whereas numerical values of skin friction and Nusselt number for both ramped temperature and isothermal plates are presented in tabular form for pertinent flow parameters.

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References

Figures

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Fig. 1

Physical model of the problem

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Fig. 2

Fluid velocity when N = 1, R = 0.2, and t = 0.7

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Fig. 3

Fluid velocity when M = 6, R = 0.2, and t = 0.7

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Fig. 4

Fluid velocity when M = 6, N = 1, and t = 0.7

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Fig. 5

Particle velocity when N = 1, R = 0.2, and t = 0.7

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Fig. 6

Particle velocity when M = 6, R = 0.2, and t = 0.7

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Fig. 7

Particle velocity when M = 6, N = 1, and t = 0.7

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Fig. 8

Fluid temperature when R = 0.2 and t = 0.7

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Fig. 9

Fluid temperature when N = 1 and t = 0.7

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Fig. 10

Particle temperature when R = 0.2 and t = 1.5

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Fig. 11

Particle temperature when N = 1 and t = 1.5

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Fig. 12

Fluid velocity when Gr = 2, M = 6, and R = 0.2

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Fig. 13

Fluid temperature when R = 0.2 and Pr = 0.71

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Fig. 14

Slip between fluid and dust particles when Gr = 2, M = 6, R = 0.2, and t = 0.7

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