Effect of Hall Current on Unsteady MHD Couette Flow and Heat Transfer of Nanofluids in a Rotating System
Applied and Computational Mathematics
Volume 4, Issue 4, August 2015, Pages: 232-244
Received: May 25, 2015; Accepted: Jun. 7, 2015; Published: Jun. 25, 2015
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Authors
Ahmada Omar Ali, Nelson Mandela African Institution of Science and Technology, Arusha, Tanzania
Oluwole Daniel Makinde, Faculty of Military Science, Stellenbosch University, Saldanha, South Africa
Yaw Nkansah-Gyekye, Nelson Mandela African Institution of Science and Technology, Arusha, Tanzania
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Abstract
The Hall effect on MHD Couette flow and heat transfer between two parallel plates in a rotating channel is investigated. A uniform magnetic field is applied normal to the plates and the flow is induced by the effects of Coriolis force, moving upper plate and the constant pressure gradients. Cu-water, Al2O3-water and TiO2-water nanofluids are compared for heat transfer performance. The Galerkin approximation and method of lines are employed to tackle the governing non-linear PDEs. The results show that Hall current significantly affects the flow system. The skin friction and Nusselt number profiles are presented graphically and discussed quantitatively.
Keywords
Couette Flow, Rotating System, Heat Transfer, Hall Current, Magnetic Field, Nanofluids
To cite this article
Ahmada Omar Ali, Oluwole Daniel Makinde, Yaw Nkansah-Gyekye, Effect of Hall Current on Unsteady MHD Couette Flow and Heat Transfer of Nanofluids in a Rotating System, Applied and Computational Mathematics. Vol. 4, No. 4, 2015, pp. 232-244. doi: 10.11648/j.acm.20150404.12
References
[1]
O.D. Makinde, Effect of arbitrary magnetic Reynolds number on MHD flows in convergent-divergent channels, International Journal of Numerical Methods for Heat & Fluid Flow 18(2008) 697-707.
[2]
P. Eguia, J. Zueco, E. Granada, D. Patiño, NSM solution for unsteady MHD Couette flow of a dusty conducting fluid with variable viscosity and electric conductivity, Applied Mathematical Modelling 35(2011) 303-316.
[3]
S.R. Mishra, S. Jena, Numerical solution of boundary layer MHD flow with viscous dissipation, The Scientific World Journal 2014(2014).
[4]
A. Rao, R.S. Raju, S. Sivaiah, Finite element solution of MHD transient flow past an impulsively started infinite horizontal porous plate in a rotating fluid with Hall current, Journal of Applied Fluid Mechanics 5(2012) 105-112.
[5]
S.U.S. Choi, Enhancing thermal conductivity of fluids with nanoparticles. In: D. Singer H. Wang, (Eds), Development and Applications of Non-Newtonian Flows, ASME, New York, 1995.
[6]
T.G. Motsumi, O.D. Makinde, Effects of thermal radiation and viscous dissipation on boundary layer flow of nanofluids over a permeable moving flat plate, Physica Scripta 86(2012) 045003.
[7]
K.V. Wong, O. De Leon, Applications of nanofluids: current and future, Advances in Mechanical Engineering. 2010(2010).
[8]
O.D. Makinde, Effects of viscous dissipation and Newtonian heating on boundary-layer flow of nanofluids over a flat plate, International Journal of Numerical Methods for Heat & Fluid Flow 23(2013) 1291-1303.
[9]
M. Sheikholeslami, M. Gorji-Bandpy, D.D. Ganji, S. Soleimani, Effect of a magnetic field on natural convection in an inclined half-annulus enclosure filled with Cu-water nanofluid using CVFEM, Advanced Powder Technology 24(2013) 980-991.
[10]
O.D. Makinde, A. Ogulu, The effect of thermal radiation on the heat and mass transfer flow of a variable viscosity fluid past a vertical porous plate permeated by a transverse magnetic field, Chemical Engineering Communications 195(2008), 1575-1584.
[11]
B.I. Olajuwon, Convection heat and mass transfer in a hydromagnetic flow of a second grade fluid in the presence of thermal radiation and thermal diffusion, International Communications in Heat and Mass Transfer 38(2011) 377-382.
[12]
W.N. Mutuku-Njane, O.D. Makinde, Combined effect of buoyancy force and Navier slip on MHD flow of a nanofluid over a convectively heated vertical porous plate, The Scientific World Journal 2013(2013).
[13]
G.S. Seth, G.K. Mahato, J.K. Singh, Effects of Hall current and rotation on MHD Couette flow of class-II, Journal of International Academy of Physical Sciences 15(2012), 201-219.
[14]
S.K. Ghosh, O.A Bég, A. Aziz, A mathematical model for magnetohydrodynamic convection Flow in a rotating horizontal channel with inclined magnetic field, magnetic induction and Hall current effects, World Journal of Mechanics 1(2011) 137.
[15]
H. Zaman, M.A. Shah, F. Khan, Q. Javed, Effects of Hall current on MHD boundary layer second-order viscoelastic fluid flow induced by a continuous surface with heat transfer, American Journal of Computational Mathematics 4(2014) 143.
[16]
H.A. Mintsa, G. Roy, C. T. Nguyen, D. Doucet, New temperature dependent thermal conductivity data for water-based nanofluids, International Journal of Thermal Sciences 48(2009) 363-371
[17]
S. Kakac, A. Pramuanjaroenkij, Review of convective heat transfer enhancement with nanofluids, International Journal of Heat and Mass Transfer 52(2009) 3187-3196.
[18]
V. Trisaksri, S. Wongwises, Critical review of heat transfer characteristics of nanofluids, Renewable and Sustainable Energy Reviews 11(2007) 512-523.
[19]
J. Buongiorno, Convective transport in nanofluids, Journal of Heat Transfer 128(2006) 240-250.
[20]
T.Y. Na, Computational methods in engineering boundary value problems, Academic Press, New York, 1979.
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