Volume No. :   6

Issue No. :  1

Year :  2015

ISSN Print :  0976-2973

ISSN Online :  2321-581X


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Dual Solutions in MHD Boundary Layer Nanofluid Flow and Heat Transfer with Heat Source/Sink considering Viscous Dissipation



Address:   Ruchika Dhanai, Puneet Rana, Lokendra Kumar
Department of Mathematics, Jaypee Institute of Information Technology, A-10, Sector-62, Noida-201307, Uttar Pradesh, India.
*Corresponding Author
DOI No: 10.5958/2321-581X.2015.00021.5

ABSTRACT:
In this present analysis, the numerical investigation of steady, magneto-hydrodynamic boundary-layer nanofluid past a permeable shrinking sheet has been discussed considering Brownian motion and thermophoresis. The effect of viscous dissipation, heat source/sink and suction/injection are taken into account and controlled by the non-dimensional parameters. After using appropriate similarity transformation, the final system of ordinary differential equation is solved numerically by shooting technique. The dual solutions exist for whereas unique solution is obtained at critical values and solution does not exist for for other fixed parameters. The current study shows that the effect of nonlinear parameter, Hartmann number and heat source/sink on skin friction and rate of heat transfer. The results are validated for the limiting cases.
KEYWORDS:
MHD, Shrinking sheet, Nanofluids, Dual solution, Viscous dissipation.
Cite:
Ruchika Dhanai, Puneet Rana, Lokendra Kumar. Dual Solutions in MHD Boundary Layer Nanofluid Flow and Heat Transfer with Heat Source/Sink considering Viscous Dissipation. Research J. Engineering and Tech. 6(1): Jan.-Mar. 2015 page 142-148.
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