The present paper deals with the boundary layer flow and heat transfer of a non-Newtonian fluid at an exponentially stretching permeable surface. The Casson fluid model is used to characterize the non-Newtonian fluid behavior, due to its various practical applications. With the help of similarity transformations the governing partial differential equations corresponding to the continuity, momentum, and energy equations are converted into nonlinear ordinary differential equations, and numerical solutions to these equations are obtained. Furthermore, in some specific parameter regimes, analytical solutions are found. It is observed that the effect of increasing values of the Casson parameter is to decrease the velocity field while enhancing the temperature field. Furthermore, it is observed that the effect of the increasing values of the suction parameter is to increase the skin-friction coefficient.
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The University of Burdwan,
e-mail: swati_bumath@yahoo.co.in
Department of Mechanical, Materials
& Aerospace Engineering,
University of Central Florida,
Orlando, FL 32816-1364
e-mail: Kuppalapalle.Vajravelu@ucf.edu
University of Central Florida,
e-mail: rav@knights.ucf.edu
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September 2013
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Casson Fluid Flow and Heat Transfer at an Exponentially Stretching Permeable Surface
Swati Mukhopadhyay,
The University of Burdwan,
e-mail: swati_bumath@yahoo.co.in
Swati Mukhopadhyay
Department of Mathematics
,The University of Burdwan,
Burdwan-713104, W.B.
, India
e-mail: swati_bumath@yahoo.co.in
Search for other works by this author on:
Kuppalapalle Vajravelu,
Department of Mechanical, Materials
& Aerospace Engineering,
University of Central Florida,
Orlando, FL 32816-1364
e-mail: Kuppalapalle.Vajravelu@ucf.edu
Kuppalapalle Vajravelu
Department of Mathematics
,Department of Mechanical, Materials
& Aerospace Engineering,
University of Central Florida,
Orlando, FL 32816-1364
e-mail: Kuppalapalle.Vajravelu@ucf.edu
Search for other works by this author on:
Robert A. Van Gorder
University of Central Florida,
e-mail: rav@knights.ucf.edu
Robert A. Van Gorder
Department of Mathematics
,University of Central Florida,
Orlando, FL 32816-1364
e-mail: rav@knights.ucf.edu
Search for other works by this author on:
Swati Mukhopadhyay
Department of Mathematics
,The University of Burdwan,
Burdwan-713104, W.B.
, India
e-mail: swati_bumath@yahoo.co.in
Kuppalapalle Vajravelu
Department of Mathematics
,Department of Mechanical, Materials
& Aerospace Engineering,
University of Central Florida,
Orlando, FL 32816-1364
e-mail: Kuppalapalle.Vajravelu@ucf.edu
Robert A. Van Gorder
Department of Mathematics
,University of Central Florida,
Orlando, FL 32816-1364
e-mail: rav@knights.ucf.edu
Manuscript received June 11, 2012; final manuscript received December 20, 2012; accepted manuscript posted February 11, 2013; published online July 12, 2013. Assoc. Editor: Nesreen Ghaddar.
J. Appl. Mech. Sep 2013, 80(5): 054502 (9 pages)
Published Online: July 12, 2013
Article history
Received:
June 11, 2012
Revision Received:
December 20, 2012
Accepted:
February 11, 2013
Citation
Mukhopadhyay, S., Vajravelu, K., and Van Gorder, R. A. (July 12, 2013). "Casson Fluid Flow and Heat Transfer at an Exponentially Stretching Permeable Surface." ASME. J. Appl. Mech. September 2013; 80(5): 054502. https://doi.org/10.1115/1.4023618
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