ORIGINAL PAPER
Mixed Convective Flow of Unsteady Hydromagnetic Couple Stress Fluid Through a Vertical Channel Filled with Porous Medium
More details
Hide details
1
Department of Mathematics and Applied Mathematics, University of Limpopo, Private Bag X1106, Sovenga, 0727, South Africa
2
Department of Mathematical Sciences, Redeemer’s University, Ede, Nigeria
Online publication date: 2020-11-26
Publication date: 2020-12-01
International Journal of Applied Mechanics and Engineering 2020;25(4):148-161
KEYWORDS
ABSTRACT
In this paper, the mixed convective flow of an electrically conducting, viscous incompressible couple stress fluid through a vertical channel filled with a saturated porous medium has been investigated. The fluid is assumed to be driven by both buoyancy force and oscillatory pressure gradient parallel to the channel plates. A uniform magnetic field of strength B0 is imposed transverse to the channel boundaries. The temperature of the right channel plate is assumed to vary periodically, and the temperature difference between the plates is high enough to induce radiative heat transfer. Under these assumptions, the equations governing the two-dimensional couple stress fluid flow are formulated and exact solutions of the velocity and the temperature fields are obtained. The effects of radiation, Hall current, porous medium permeability and other various flow parameters on the flow and heat transfer are presented graphically and discussed extensively.
REFERENCES (28)
1.
Khaled A.R.A. and Vafai K. (2003): The role of porous media in modelling flow and heat transfer in biological tissues.–Int. J. Heat and Mass Transfer, vol.46, pp.4989-5003.
2.
Vafai K. (2015): Handbook of porous media. 3 rd ed., –CRC Press Online.
3.
Purusothaman A. and Chamkha A.J. (2019): Combined effects of mechanical vibration and magnetic field on the onset of buoyancy-driven convection in an anisotropic porous module. –J. Porous Media, vol.22, No.11, pp.1411-1422.
4.
Rundora L. and Makinde O.D. (2018): Buoyancy effects on unsteady reactive variable properties fluid flow in a channel filled with a porous medium.–J. Porous Media, vol.21, No.8, pp.721-737.
5.
Fosdick R.L. and Rajagopal K.R. (1980): Thermodynamics and stability of fluids of third grade.–Proceedings of the Royal Society of London, Series A, Mathematical and Physical Sciences, vol.369(1738), pp.351-377.
6.
Casson N. (1959): A flow equation for pigment oil-suspensions of the printing ink type, Rheology of Disperse Systems.–London: C.C. Mill ed., Pergamon Press.
7.
Stokes V.K. (1966): Couple stresses in fluids.–Phys. Fluids, vol.9, pp.1709-1715.
8.
Devakar M., Sreenivasu D. and Shankar B. (2014): Analytical solutions of couple stress fluid flows with slip boundary conditions.–Alexandria Engineering Journal, vol.53, pp.723-730.
9.
Adesanya S.O., Makhalemele C.R. and Rundora L. (2018): Natural convection flow of heat generating hydromagnetic couple stress fluid with time periodic boundary conditions.–Alexandria Engineering Journal, vol.57, pp.1977-1989.
10.
Hassan A.R. (2020): The entropy generation analysis of a reactive hydromagnetic couple stress fluid flow through a saturated porous channel.–Applied Mathematics and Computation, vol.369, 124843 (10 pages).
11.
Makinde O.D. and Eegunjobi A.S. (2013): Entropy generation in a couple stress fluid flow through a vertical channel filled with saturated porous media. –Entropy, vol.15, pp.4589-4606.
12.
Ramana Murthy J.V., Srinivas J. and Sai K.S. (2014): Second law analysis of the flow of two immiscible couple stress fluids in four zones.–10 th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, pp.1034-1043.
13.
Hassan A.R. and Fenuga O.J. (2019): The effects of thermal radiation on the flow of a reactive hydromagnetic heat generating couple stress fluid through a porous channel.–SN Applied Sciences, vol.1:1278
https://doi.org/10.1007/s42452....
14.
Branover H. and Unger Y. (2020): Metallurgical technologies, energy conversion and magnetohydrodynamics flows.–Progress in Astronautics and Aeronautics, vol.148,
https://public.ebookcentral.pr.... Retrieved..
15.
Garg B.P., Singh K.D. and Bansal A.K. (2014): An oscillatory MHD convective flow of visco-elastic fluid through porous medium filled in a rotating vertical porous channel with heat radiation. –IJEIT, vol.3, No.12, pp.273-281.
16.
Kalpana M. and BhuvanaVijaya R. (2018): Hall effects on MHD oscillatory flow on non-Newtonian fluid through porous medium in a vertical channel with suction/injection.–International Journal of Applied Engineering Research, vol.14, No.21, pp.3960-3967.
17.
Ravi Kumar S. (2015): The effect of the couple stress fluid flow on MHD peristaltic motion with uniform porous medium in the presence of slip effect. –JJMIE, vol.9, No.4, pp.269-278.
18.
Nayak A. and Dash G.C. (2015): Magnetohydrodynamic couple stress fluid flow through a porous medium in a rotating channel.–Journal of Engineering Thermophysics, vol.24, No.3, pp.283-295.
19.
Sankad G.C. and Nagathan P.S. (2017): Transport of MHD couple stress fluid through peristalsis in a porous medium under the influence of heat transfer and slip effects.–Int. J. Applied Mechanics and Engineering, vol.22, No.2, pp.403-414.
20.
Ramachandraiah V., Nagaradhika V., Sivaprasad R., Subba Rao A. and Rajendra P. (2018): MHD effects on peristaltic flow of a couple stress fluid in a channel with permeable walls. –IJMTT, vol.58, No.1, pp.24-37.
21.
Misra J.C. and Adhikary S.D. (2016): MHD oscillatory channel flow, heat and mass transfer in a physiological fluid in presence of chemical reaction.–Alexandria Engineering Journal, vol.55, pp.287-297.
22.
Adesanya S.O. and Makinde O.D. (2014): MHD oscillatory slip flow and heat transfer in a channel filled with porous media. –U.P.B.Sci.Bull., Series A., vol.76, No.1, pp.197-204.
23.
Falade J.A., Ukaegbu J.C., Egere A.C. and Adesanya S.O. (2017): MHD oscillatory flow through a porous channel saturated with porous medium.–Alexandria Engineering Journal, vol.56, pp.147-152.
24.
Padma G. and Suneetha S.V. (2018): Hall effects on MHD flow through porous medium in a rotating parallel plate channel.–International Journal of Applied Engineering Research, vol.13, No.11, pp.9772-9789.
25.
Devika B., Satya Narayana P.V. and Venkataramana S. (2013): MHD oscillatory flow of a visco-elastic fluid in a porous channel with chemical reaction.–International Journal of Engineering Science Invention, vol.2, No.2, pp.26-35.
26.
Veera Krishna M. and Chand Basha S. (2016): MHD free convection three dimensional flow through a porous medium between two vertical plates.–IOSR Journal of Mathematics, vol.12, No.1, pp.88-105.
27.
Veera Krishna M., Subba Reddy G. and Chamkha A.J. (2018): Hall effects on unsteady MHD oscillatory free convective flow of second grade fluid through porous medium between two vertical plates. –Phys. Fluids, vol.30, 023106, pp.1-9.
28.
Cogley A.C., Vincenti W.G. and Gilles S.E. (1968): Differential approximation for radiative transfer in a non-grey gas near equilibrium.–AIAA J., vol.6, pp.551-553.