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Research Papers

Magnetohydrodynamics Free Convection Flow of a Radiating and Chemically Reacting Fluid Past an Impulsively Moving Plate With Ramped Wall Temperature

[+] Author and Article Information
Kalidas Das

Department of Mathematics,  Kalyani Government Engineering College, Kalyani, Nadia, West Bengal, 741235, Indiakd_kgec@rediffmail.com

J. Appl. Mech 79(6), 061017 (Sep 21, 2012) (11 pages) doi:10.1115/1.4006462 History: Received August 03, 2011; Revised March 12, 2012; Posted March 29, 2012; Published September 21, 2012; Online September 21, 2012

In the present study, the effects of radiation and chemical reaction on unsteady free convection flow and mass transfer of a viscous, electrically conducting incompressible fluid near an impulsively moving vertical flat plate with ramped wall temperature is studied. The primary purpose of this study is to characterize the effects of ramped wall temperature, radiation parameter, chemical reaction parameter, Schmidt number etc., on the flow properties. Exact solutions of the present problem are obtained in closed form by Laplace transform technique. The variations in fluid velocity, temperature and concentration are shown graphically whereas numerical values of skin friction, rate of heat and mass transfer are presented in tabular form to observe the effects of various parameters.

Copyright © 2012 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

A schematic of the problem and coordinate system

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Figure 2

Velocity profile in the absence of mass transfer when Gr = 2, M = 2, N = 1

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Figure 3

Temperature profiles when Pr  = 0.71, N = 1

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Figure 4

Temperature profiles when Pr  = 0.71, t = 0.7

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Figure 5

Temperature profiles when Pr  = 0.71, t = 1.1

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Figure 6

Concentration profiles when t = 0.7, Kr  = 0.5

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Figure 7

Concentration profiles when t = 0.7, Sc  = 0.60

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Figure 8

Concentration profiles when Kr  = 0.5, Sc  = 0.60

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Figure 9

Velocity profile when t = 0.7, Kr  = 0.5, M = 0.5, Gr = 5

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Figure 10

Velocity profile t = 1.1, Kr  = 0.5, M = 0.5, Gr = 5

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Figure 11

Velocity profile when t = 0.7, N = 1, M = 0.5, Gr = 5

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Figure 12

Velocity profile when t = 1.1, N = 1, M = 0.5, Gr = 5

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Figure 13

Velocity profile when Kr  = 0.5, N = 1, M = 0.5, Gr = 5

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Figure 14

Velocity profile when t = 0.7, N = 1, Kr = 0.5, Gr = 5

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Figure 15

Velocity profile when t = 1.1, N = 1, Kr = 0.5, Gr = 5

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Figure 16

Velocity profile when t = 0.7, N = 1, Kr = 0.5, M = 0.3

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Figure 17

Velocity profile when t = 1.1, N = 1, Kr = 0.5, M = 0.3

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