Non –Darcian Soret effects on MHD convective flow over a stretching sheet in a micropolar fluid with radiation in the presence of chemical reaction

Volume 1, Issue 1, October 2016     |     PP. 42-57      |     PDF (666 K)    |     Pub. Date: October 20, 2016
DOI:    410 Downloads     70339 Views  

Author(s)

Fatin NurFatiha Binti Jaafar, Research Centre for Computational Mathematics, Faculty of Science, Technology and Human Development, Universiti Tun Hussein Onn Malaysia, Parit Raja, Johor, Malaysia
R. Kandasamy, Research Centre for Computational Mathematics, Faculty of Science, Technology and Human Development, Universiti Tun Hussein Onn Malaysia, Parit Raja, Johor, Malaysia
Natasha Amira Binti Mohd Zailani, Research Centre for Computational Mathematics, Faculty of Science, Technology and Human Development, Universiti Tun Hussein Onn Malaysia, Parit Raja, Johor, Malaysia

Abstract
The presence of chemical reaction in a non –Darcian permeable plate with thermal radiation which effect by certain works from Soret effects and non-uniform heat sources in convection of heat and mass transfer flow of a micropolar liquid with radiation over a stretching sheet are studied. The Runge-Kutta-Fehlberg method with shooting technique are using to solve governing non-linear partial differential equations revolutionized into a class of non-linear coupled ordinary differential equations by numerical method. Then, numerical results are acquired and proceed to investigate more for velocity, angular velocity, temperature and concentration including the local Nusselt number, Sherwood number, and skin-friction coefficient.The acquired results are displayed graphically to represent the effect of governing parameter on dimensionless velocity, angular velocity, temperature and also concentration. Next, the numerical results are compared graphically and found to be in good agreement with preceding published result in certain cases of the problem.

Keywords
Non-uniform heat source/sink, Thermal radiation, Non-Darcian, Soret number, Chemical Reaction.

Cite this paper
Fatin NurFatiha Binti Jaafar, R. Kandasamy, Natasha Amira Binti Mohd Zailani, Non –Darcian Soret effects on MHD convective flow over a stretching sheet in a micropolar fluid with radiation in the presence of chemical reaction , SCIREA Journal of Mechanical Engineering. Volume 1, Issue 1, October 2016 | PP. 42-57.

References

[ 1 ] P.D. McCormack, L. Crane, Physical Fluid Dynamics, Academic Press, New York, 1973.
[ 2 ] L.J. Crane, Flow past a stretching plate, Z. Angew. Math. Phys. 21 (1970) 645–647.
[ 3 ] T. Ariman, M.A. Turk, N.D. Sylvester, Microcontinum fluid mechanics – a review, Int. J. Eng. Sci. 11 (1973) 905–930.
[ 4 ] T. Ariman, M.A. Turk, N.D. Sylvester, Application of microcontinum fluid mechanics, Int. J. Eng. Sci. 12 (1974) 273–293.
[ 5 ] G. Lukaszewicz, Micropolar Fluids: Theory and Application, Birkhäuser, Basel, 1999.
[ 6 ] P.S. Gupta, A.S. Gupta, Heat and mass transfer on a stretching sheet with suction or blowing, Can. J. Chem. Eng. 55 (1977) 744–746.
[ 7 ] A.C. Eringen, Theory of micropolar fluids, J. Math. Mech. 16 (1966) 1–18.
[ 8 ] A.C. Eringen, Theory of thermomicrofluids, J. Math. Anal. Appl. 38 (1972) 480–496.
[ 9 ] A.C. Eringen, Microcontinum Field Theories, II: Fluent Media, Springer, New York, 2001.
[ 10 ] B.K. Dutta, P. Roy, A.S. Gupta, Temperature field in the flow over a stretching sheet with uniform heat flux, Int. Commun. Heat Mass Transfer 12 (1985) 89–94.
[ 11 ] C.K. Chen, M.I. Char, Heat transfer of a continuous stretching surface with suction or blowing, J. Math. Anal. Appl. 135 (1988) 568–580.
[ 12 ] M.A. El-Hakiem, A.A. Mohammadein, S.M.M. El-Kabeir, Joule heating effects on magneto hydrodynamic free convection flow of a micro polar fluid, Int. Commun. Heat Mass Transfer 26 (1999) 219–227.
[ 13 ] M.A. El-Hakiem, Viscous dissipation effects on MHD free convection flow over a nonisothermal surface in a micro polar fluid, Int. Commun. Heat Mass Transfer 27 (2000) 581–590.
[ 14 ] M.F. El-Amin, Magnetohydrodynamic free convection and mass transfer flow in micropolar fluid with constant suction, J. Mag. Mag. Mater. 234 (2011) 567–574.
[ 15 ] M.A. Mansour, M.A. El-Hakiem, S.M. El-Kabeir, Heat and mass transfer in magneto hydrodynamic flow of a micropolar fluid on a circular cylinder with uniform heat and mass flux, J. Mag. Mag. Mater. 220 (2000) 259–270.
[ 16 ] E.M. Abo-eldohad, A.F. Ghonaim, Radiation effect on heat transfer of a micropolar fluid through a porous medium, Appl. Math. Comput. 169 (2005) 500–516.
[ 17 ] M.R. Krishnamurthy, B.C. Prasannakumar, B.J. Gireesha, R.S.R. Gorla, Effect of viscous dissipation on hydromagnetic fluid flow and heat transfer of nanofluid over an exponentially stretching sheet with fluid-particle suspension, Cogent Math. 2 (2015) 1050973.
[ 18 ] A.M. Subhas, N. Mahesha, Heat transfer in MHD viscoelastic fluid flow over a stretching sheet with variable thermal conductivity, non-uniform heat source and radiation, Appl. Math. Model. 32 (2008) 1965–1983.
[ 19 ] M.M. Rahman, T. Sultana, Radiative heat transfer flow of micropolar fluid with variable heat flux in a porous medium, Nonlinear Anal. Model. Control 13(2008) 71–87.
[ 20 ] Y.J. Kim, Unsteady MHD convection flow of polar fluid past a vertical moving porous plate in a porous medium, Int. J. Heat Mass Transfer 44 (2001) 2791–2799.
[ 21 ] B.C. Prasanna Kumar, G.K. Ramesh, A.J. Chamkha, B.J. Gireesha, MHD stagnation-point flow of a viscous fluid towards a stretching surface with variable thickness and thermal radiation, Int. J. Indust. Math. 7 (1) (2015) 9(Article ID IJIM-00582).
[ 22 ] D. Pal, S. Chatterjee, Heat and mass transfer in MHD non-Darcian flow of a micropolar fluid over a stretching sheet embedded in a porous media with non-uniform heat source and thermal radiation, Commun. Nonlinear Sci. Numer. Simul. 15 (2010) 1843–1857.
[ 23 ] D. Pal, S. Chatterjee, Effects of radiation on Darcy–Forchheimer convective flow over a stretching sheet in a micropolar fluid with non-uniform heat source/sink, J. Appl. Fluid Mech. 8 (2015) 207–212.
[ 24 ] M.M. Rahman, M.J. Uddin, A. Aziz, Effects of variable electric conductivity and non-uniform heat source (or sink) on convective micropolar fluid flow along an inclined flat plate with surface heat flux, Int. J. Ther. Sci. 48 (2009) 2331–2340.
[ 25 ] R.C. Bataller, Viscoelastic fluid flow and heat transfer over a stretching sheet under the effects of a non-uniform heat source, viscous dissipation and thermal radiation, Int. J. Heat Mass Transfer 2007 (50) (2007) 3152–3162.
[ 26 ] B.K. Jha, A.K. Singh, Soret effects free convection and mass transfer flow in the stokes problem for an infinite vertical plate, Astrophys. Space Sci. 173 (1990) 251–255.
[ 27 ] N.G. Kafoussias, MHD thermal-diffusion effects on free convective and mass transfer flow over an infinite vertical moving plate, Astrophys. Space Sci. 192 (1992) 11–19.
[ 28 ] M.M. Alam, M.A. Sattar, Transient MHD heat and mass transfer flow with thermal diffusion in a rotating system, J. Energy Heat Mass Transfer 21 (1999) 9–21.
[ 29 ] M.S. Alam, M.M. Rahman, M.A. Maleque, Local similarity solutions for unsteady MHD free convection and mass transfer flow past an impulsively started vertical porous plate with Dufour and Soret effects, Thammasat Int. J. Sci. Tech.10 (2005) 1–8.