MHD Mixed Convection Slip Flow of Radiating Casson Fluid with Entropy Generation in a Channel Filled with Porous Media

Abstract:

In this paper, both first and second laws of thermodynamics are employed to investigate the combined effects of magnetic field, buoyancy force, velocity slip, suction/injection, porous medium permeability, thermal radiation absorption, viscous and Joule heating on mixed convective flow of an electrical conducting Casson fluid in a vertical channel. The dimensionless governing equations are obtained and solved numerically using a shooting technique coupled with a fourth order Runge-Kutta-Fehlberg integration scheme. The influence of various thermophysical parameters on velocity and temperature profiles, skin friction, Nusselt number, entropy generation rate and Bejan number are presented graphically and discussed quantitatively. It is found that with appropriate combination of thermophysical parameter values the entropy generation rate in the presence of an applied magnetic field can successfully.

• Periodical: Defect and Diffusion Forum (Volume 374)
• Pages: 47-66
• DOI: https://doi.org/10.4028/www.scientific.net/DDF.374.47
• Online since: April 2017
• Authors: Adetayo Samuel Eegunjobi*, Oluwole Daniel Makinde
• Keywords: Casson Fluid, Channel Flow, Entropy Generation, Injection, Porous Medium, Suction, Thermal Radiation, Velocity Slip

References

[1] Casson, N; A flow equation for pigment oil-suspensions of the printing ink type, Rheolgy of DisperseSystems (C.C. Mill, ed. ), p.84. Pergamon Press, London (1959).

[2] Joye, D. D; Shear rate and viscosity corrections for a Casson fluid in cylindrical (Couette) geometries. J Colloid Interface Sci. 2003; 267, 204-210.

DOI: 10.1016/j.jcis.2003.07.035

[3] Pramanik. S; Casson fluid flow and heat transfer past an exponentially porous stretching surface in presence of thermal radiation. Ain Shams Engrg J. 2014; 5, 205-212.

DOI: 10.1016/j.asej.2013.05.003

[4] HA Attia. H. A, and Sayed-Ahmed.M. E; Transient MHD Couette flow of a Casson fluid between parallel plates with heat transfer. Italian J Pure Appl Math. 2010; 27, 19-38.

[5] Chiu-On, Ng; Combined pressure-driven and electroosmotic flow of Casson fluid through a slit microchannel JournalofNon-NewtonianFluidMechanics198(2013)1–9.

DOI: 10.1016/j.jnnfm.2013.03.003

[6] Das, M; Mahato, R; Nandkeolyar, R; Newtonian heating effect on unsteady hydromagnetic Cassonfluid flow past a flat plate with heat and mass transfer. Alexandria EngineeringJournal (2015) 54, 871–879.

DOI: 10.1016/j.aej.2015.07.007

[7] Reddy, P. B; Magnetohydrodynamic flow of a Casson fluid over an exponentially incline permeable stretching surface with thermal radiation and chemical reaction. Ain Shams Engineering Journal (2016).

DOI: 10.1016/j.asej.2015.12.010

[8] Mishra S. R, Jena S, Numerical Solution of Boundary Layer MHD Flow With Viscous Dissipation, The Scientific World Journal, 2014(2014) Article ID 756498, 8 pages.

DOI: 10.1155/2014/756498

[9] Bhukta D, Dash G. C, Mishra S. Baag R. S, Dissipation effect on MHD mixed convective flow over a stretching sheet through porous medium with non-uniform heat source/sink , Ain Shams Engineering Journal.

DOI: 10.1016/j.asej.2015.08.017

[10] Makinde O. D, Mishra S. R, On stagnation point flow of variable viscosity nanofluids past a stretching surface with radiative heat, International Journal of Applied and Computational Mathematics.

DOI: 10.1007/s40819-015-0111-1

[11] Makinde,O. D, and Aziz, A; MHD mixed convection from a vertical plate embedded in a porous medium with a convective boundary condition. Int. J. Therm. Sci. 2010, 49, 1813–1820.

DOI: 10.1016/j.ijthermalsci.2010.05.015

[12] S Nadeem, N; Haq, R. U; Akbar, N. S, and Khan, Z. H; MHD three-dimensional Casson fluid flow past a porous linearly stretching sheet. Alexandria Engrg J. 2013; 52, 577-582.

DOI: 10.1016/j.aej.2013.08.005

[13] Makinde, O. D; Effect of variable viscosity on thermal boundary layer over a permeable flat plate with radiation and a convective surface boundary condition. Journal of Mechanical Science and Technology, Vol. 26, No 5, 1615-1622, (2012).

DOI: 10.1007/s12206-012-0302-1

[14] Brewster.M. Q; Thermal Radiative Transfer and Properties. John Wiley and sons Inc. New York, USA, (1992).

[15] Raptis. A; Radiation and viscoelastic flow. IntCommun Heat Mass Trans. 1999; 26, 889-895.

[16] Nield, D. A; Convection in Porous Media; Springer: New York, NY, USA, (2006).

[17] Bejan, A; A study of entropy generation in fundamental convective heat transfer. J. Heat Transfer, Vol. 101, 718-725, (1979).

DOI: 10.1115/1.3451063

[18] Bejan, A; Entropy Generation Minimization; CRC: Boca Raton, FL, USA, (1996).

[19] Srinivas Jangili, Nagaraju Gajjela, O. Anwar Beg: Mathematical modeling of entropy generation in magnetized micropolar flow between co-rotating cylinders with internal heat generation. Alexandria Engineering Journal (2016) 55, 1969–(1982).

DOI: 10.1016/j.aej.2016.07.020

[20] Jangili S, Adesanya S O, Falade J A, Gajjela N: Entropy Generation Analysis for a Radiative Micropolar Fluid Flow Through a Vertical Channel Saturated with Non-Darcian Porous Medium. International Journal of Applied and Computational Mathematics (2017).

DOI: 10.1007/s40819-017-0322-8

[21] Wood, L. C; Thermodynamics of Fluid Systems; Oxford University Press: Oxford, UK, (1975).

[22] Eegunjobi, A. S and Makinde, O. D; Second law analysis for MHD permeable channel flow with variable electrical conductivity and asymmetric Navier slips. Open Physics, Vol. 13, 100-110, (2015).

DOI: 10.1515/phys-2015-0014

[23] Eegunjobi, A. S and Makinde, O. D; Combined effect of buoyancy force and Navier slip on entropy generation in a vertical porous channel. Entropy 2012, 33, 692–698.

DOI: 10.3390/e14061028

[24] Cebeci, T and Bradshaw. P; Physical and Computational Aspects of Convective Heat Transfer; Springer: New York, NY, USA, (1988).