Thermal stratification effects on hiemenz flow of nanofluid over a porous wedge sheet in the presence of suction/injection due to solar energy: lie group transformation

Kandasamy, Ramasamy and Muhaimin, Ismoen and SIva Ram, N. and Sivagnana Prabtu, K. K. (2012) Thermal stratification effects on hiemenz flow of nanofluid over a porous wedge sheet in the presence of suction/injection due to solar energy: lie group transformation. Transport in Porous Media, 94 (1). 399-416 . ISSN 0169-3913

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Official URL: http://dx.doi.org/10.1007/s11242-012-0011-3

Abstract

The objective of the present work is to investigate theoretically the Hiemenz flow and heat transfer of an incompressible viscous nanofluid past a porous wedge sheet in the presence of thermal stratification due to solar energy (incident radiation). The wall of the wedge is embedded in a uniform Darcian porous medium to allow for possible fluid wall suction or injection and has a power-law variation of the wall temperature. The partial differential equations governing the problem under consideration are transformed by a special form of Lie symmetry group transformations viz., one-parameter group of transformation into a system of ordinary differential equations which are solved numerically by Runge-Kutta- Gill-based shooting method. The conclusion is drawn that the flow field and temperature are significantly influenced by convective radiation, thermal stratification, buoyancy force, and porosity of the sheet.

Item Type:Article
Uncontrolled Keywords:nanofluids; porous wedge; hiemenz flow; thermal stratification and solar energy
Subjects:T Technology > TJ Mechanical engineering and machinery > TJ836-935 Hydraulic machinery
Divisions:Faculty of Science, Technology and Human Development > Department of Mathematics and Statistic
ID Code:7933
Deposited By:Normajihan Abd. Rahman
Deposited On:11 May 2016 17:50
Last Modified:11 May 2016 17:50

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