ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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MHD boundary layer flow of Casson fluid passing through an exponentially stretching permeable surface with thermal radiation |
Swati Mukhopadhyaya, Iswar Cha, ra Moindalb c |
a Department of Mathematics, The University of Burdwan, Burdwan-713104, W. B., India; b Department of Mathematics, Quaid-i-Azam University 45320, Islamabad, Pakistan; c Department of Mathematics, Faculty of Science, King Abdulziz University, Jeddah 21589, Saudi Arabia |
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Abstract This article numerically examines the boundary layer flow due to an exponentially stretching surface in the presence of an applied magnetic field. Casson fluid model is used to characterize the non-Newtonian fluid behavior. The flow is subjected to suction/blowing at the surface. Analysis is carried out in presence of thermal radiation and prescribed surface heat flux. In this study, an exponential order stretching velocity and prescribed exponential order surface heat flux are accorded with each other. The governing partial differential equations are first converted into nonlinear ordinary differential equations by using appropriate transformations and then solved numerically. The effect of increasing values of the Casson parameter is to suppress the velocity field. However the temperature is enhanced when Casson parameter increases. It is found that the skin-friction coefficient increases with increasing values of suction parameter. Temperature also increases for large values of power index n in both suction and blowing cases at the boundary. It is observed that the thermal radiation enhances the effective thermal diffusivity and hence the temperature rises.
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Received: 23 October 2013
Revised: 25 March 2014
Accepted manuscript online:
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PACS:
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47.15.Cb
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(Laminar boundary layers)
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44.20.+b
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(Boundary layer heat flow)
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47.50.-d
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(Non-Newtonian fluid flows)
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Corresponding Authors:
Swati Mukhopadhyay,Iswar Ch,ra Moindal,Tasawar Hayat
E-mail: swati_bumath@yahoo.co.in;iswar.chandra2010@gmail.com;pensy_t@yahoo.com
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About author: 47.15.Cb; 44.20.+b; 47.50.-d |
Cite this article:
Swati Mukhopadhyay, Iswar Ch, ra Moindal, Tasawar Hayat MHD boundary layer flow of Casson fluid passing through an exponentially stretching permeable surface with thermal radiation 2014 Chin. Phys. B 23 104701
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| [38] | Ishak A, Nazar R and Pop I 2009 Heat Mass Transfer 45 563
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| [39] | Aman F and Ishak A 2010 Heat Mass Transfer 46 615
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| [40] | Bhattacharyya K 2013 Chin. Phys. B 22 074705
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| [41] | Brewster M Q 1972 Thermal Radiative Transfer Properties (New York: Wiley)
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| [1] | Causey R, Wilson K, Venhaus T and Wampler W R 1999 J. Nucl. Mater. 266 467
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| [42] | Bhattacharyya K 2011 Chin. Phys. Lett. 28 074701
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