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ORIGINAL PAPER
Transient Free Convective Radiative Flow Between Vertical Parallel Plates Heated/Cooled Asymmetrically with Heat Generation and Slip Condition
1
Department of Mathematics, JECRC University, Jaipur - 303905, India
2
Department of Mathematics, J.N. College Madhubani, Bihar-, 847211, India
Online publication date: 2018-06-04
Publication date: 2018-05-01
International Journal of Applied Mechanics and Engineering 2018;23(2):365-384
KEYWORDS
ABSTRACT
Investigation of an MHD convective flow of viscous, incompressible and electrically conducting fluid through a porous medium bounded by two infinite vertical parallel porous plates is carried out. Forchheimer-Brinkman extended Darcy model is assumed to simulate momentum transfer within the porous medium. A magnetic field of uniform strength is applied normal to the plates. The analytical results are evaluated numerically and the presented graphically to discuss in detail the effects of different parameter entering into the problem.
REFERENCES (47)
1.
Kaviany M. (1995): Principles of Heat Transfer in Porous media’. –2, New York: Springer.
2.
Pop I. and Ingham D.B. (2001): Convective Heat Transfer: Mathematical and computational modeling of viscous fluids and porous Pergamon. Oxford.
3.
Ingham D.B. and Pop I. (2005): Transport Phenomena in Porous Media. – 3, United Kingdom: Elsevier.
4.
Vadasz P. (2008): Emerging Topics in Heat and Mass Transfer in Porous Media. – New-York: Springer.
5.
Vafai K. (2010): Porous Media: Application in Biological Systems and Biotechnology. – CRC Press.
6.
Nield A.N. and Bejan A. (2013): Mechanics of fluid flow through a porous medium. – Springer.
7.
Irmay S. (1958): On the theoretical derivation of Darcy and Forchheimer formulas. – EOS, Trans. AGU., vol.39, pp.702-707.
8.
Neale G. and Nader W. (1974): Practical significance of Brinkman’s extension of Darcy law: Couple parallel flows with in a channel and bounding a porous channel. – Canadian J. Chem. Eng., vol.52, pp.475-478.
9.
Kavinay M. (1985): Laminar flow, through a porous channel by isothermal parallel plates. – Int. J. Heat Mass Transfer, vol.28, pp.851-858.
10.
Nakayama A., Kayama H. and Kuwahara F. (1988): Analysis on forced convection in a channel filled with a Brinkman-Darcy-porous medium, exact and approximate solutions. – Vol.23, pp.291-95.
11.
Cheng P.A. and Choudhary A. (1988): Forced convection in the entrance region of a packed channel with asymmetric heating. – ASME J. Heat Transfer, vol.110, pp.946-54.
12.
Vafai K. and Kim S.J. (1989): Forced convection in a channel filled with a porous medium: an exact solution. – ASME J. Heat Transfer, vol.111, pp.1103-1106.
13.
Nakayama A., Kokudai T. and Koyama H. (1990): Forchheimer free convection over a non-isothermal of arbitrary shape in a saturated porous medium. – ASME J. Heat Transfer, vol.112, pp.511-15.
14.
Kladias N. and Prasad V. (1991): Experimental verification of Darcy-Brinkman-Forchheimer-model for natural convection in porous media. – AIAA J. Thermodyphys Heat Transfer, vol.5, pp.560-75.
15.
Shenoy A.V. (1993): Darcy-Forchheimer-natural forced and mixed convection heat transfer in non-Newtonian power law fluid-saturated porous medium. – Transp Porous Med., vol.11, No.3, pp.219-241.
16.
Vafai K. and Kim S.J. (1995): On the limitations of the Brinkman-Forchheimer Darcy equation. – Int. J. Heat Fluid Flow, vol.16, pp.11-15.
17.
Whitakar S. (1996): The Forchheimer equation: a theoretical development. – Transport Porous Med., vol.25, pp.27-61.
18.
Nield D.A., Junqueira S.L.M. and Lage J.L. (1996): Forced convection in a fluid saturated Porous medium channel with isothermal or isoflux boundaries. – J. Fluid Mech., vol.322, pp.201-214.
19.
Kuznetsov A.V. and Austria V. (1998): Analytical investigation of heat transfer in Coutte flow through a Porous medium utilizing the Brinkman-Forchheimer-extended Darcy model. – Acta Mechanica, vol.129, pp.13-24.
20.
Nakayama A. (1998): A unified treatment of Darcy-Forchheimer boundary layer flows. – Transport Phenomena in Porous Media, vol.1, pp.179-204.
21.
Leong K.C. and Jin L.W. (2004): Heat transfer of oscillating and steady flows in a channel filled with porousmedium. – Int. Commun. Heat Mass Transfer, vol.31, pp.63-72.
22.
Singh A.K. and Takhar H.S. (2005): Free convection flow of two immiscible viscous liquids through parallel permeable beds: use of Brinkman model. – Int. J. Fluid Mech. Res., vol.32, pp.635-650.
23.
Singh A.K., Kumar R., Singh U., Singh N.P. and Singh A.K. (2011): Unsteady hydromagnetic convective flow in a vertical channel using Darcy-Brinkman-Forchheimer-extended-model with heat generation/absorption: Analysis with asymmetric heating/cooling of the channel walls. – Int. J. of Heat and Mass Transfer, vol.54, pp.5633-5642.
24.
Pal, Dulal and Mondal, Hiranmoy (2012): Hydromagnetic convective diffusion of species in Darcy-Forchheimer porous medium with non-uniform heat source/sink and variable viscosity. – Int. Commu. Heat and Mass Transfer, vol.39, pp.913-917.
25.
Rapits A., Massalas C. and Tzivanids G. (1982): Hydromagnetic free convection flow through porous medium between two parallel plates. – Phys. Lett., vol.90, pp.288-289.
26.
Attia H.A. and Kotb N.A. (1996): MHD flow between two parallel plates with heat transfer. – Acta Mechanica, vol.117, pp.215-220.
27.
Kim Y.I. (2000): Unsteady MHD convective heat transfer past semi-infinite vertical porous moving plate with variable suction. – Int. J. Engineering Science, vol.38, pp.833-845.
28.
Attia H.A. (2006): On the effectiveness of variation in the physical variables on MHD steady flow between parallel plates with heat transfer. – Int. J. for Numerical Method in Engineering, vol.65, pp.224-35.
29.
Ahmed A. (2007): Effects of unsteady free convective MHD flow through a porous medium bounded by an infinite vertical porous plate. – Bull. Cal. Math. Soc., vol.99, pp.511-22.
30.
Das U.N., Deka R.K. and Soundalgekar V.M. (1996): Radiation effects on flow past an impulsively started vertical infinite plate. – J. Theo. Mech., vol.1, pp.111-115.
31.
Bakier A.Y. (2001): Thermal radiation effects on mixed convection from vertical surfaces in saturated porous media. – Int. Comm. Heat and Mass Transfer, vol.28, pp.243-248.
32.
Sanyal D.C. and Adhikari A. (2006): Effects of radiation on MHD vertical channel flow. – Int. J. App. Mech. and Engg., vol.4, pp.817-821.
33.
Mebine P. (2007): Radiation effects on MHD Couette flow with heat transfer between two parallel plates. – Global Journal of Pure and Applied Mathematics, vol.3, pp.191-202.
34.
El-Hakim M.A. and Rashad A.M. (2007): Effect of radiation on non-Darcy free convection from a vertical cylinder embedded in a fluid-saturated porous medium with a temperature-dependent viscosity. – J. Porous Media, vol.10, pp.209-218.
35.
Muthucumarasamy R. and Kulandivel T. (2008): Radiation effects on moving vertical plate with variable temperature and uniform mass diffusion. – Energy Heat and Mass Transfer, vol.30, pp.79-88.
36.
Singh K.D. and Kumar R. (2009): Radiation effects on the exact solution of free convective oscillatory flow through porous medium in a rotating vertical porous channel. – Rajasthan Acad. Physical Science, vol.8, pp.295-310.
37.
Singh K.D. and Garg B.P. (2010): Exact solution of an oscillatory free convection MHD flow on a rotating porous channel with radiative heat. – Proc. Nat. Acad. Sci., India Sect., vol.80, pp.81-89.
38.
Khandelwal K., Gupta A., Poonam and Jain N.C. (2003): Effects of couple stresses on the flow through a porous medium with variable permeability in slip flow regime. – J. Ganita, vol.54, No.2, pp.203-12.
39.
Sharma P.K. and Choudhary R.C. (2003): Effects of variable suction on transient free convective viscous incompressible flow past a vertical plate with periodic temperature variation in slip flow regime. – Emirates Journal of Engineering Research, vol.8, No.2, pp.33-38.
40.
Sharma P.K. (2005): Influence of periodic temperature and concentration on unsteady free convective viscous incompressible flow and heat transfer past a vertical plate in slip flow regime. – J. Mathematics, vol.13, No.1, pp.51-62.
41.
Chaudhary R.C and Jha A.K. (2008): Effects of chemical reactions on MHD micropolar fluid flow past a vertical plate in slip flow regime. – J. of Applied Mathematics and Mechanics, vol.29, No.9, pp.1179-1194.
42.
Singh K.D. and Pathak R. (2013): Effects of slip conditions and hall current on an oscillatory convective MHD flow in a rotating vertical porous channel with thermal radiation. – International Journal of Applied Mathematics and Mechanics, vol.9, No.12, pp.60-77.
43.
Alazmi B. and Vafai K. (2000): Analysis of variants with the porous media transport models. – ASME J. Heat Transfer, vol.122, pp.303-326.
44.
Ergun S. (1952): Fluid flow through packed columns. – Chemical Engineering Progress, vol.48, pp.89-94.
45.
Gebhart B. and Pera L. (1971): The natural of vertical convection flows resulting from the combined buoyancy effects of thermal and mass diffusion. – Int. J. Heat and Mass Transfer, vol.14, pp.2025–2050.
46.
Chamkha A.J. (2002): On laminar hydromagnetic mixed convection in a vertical channel with symmetric and asymmetric wall heating conditions. – Int. J. Heat Mass Transfer, vol.45, pp.2509–2525.
47.
Paul T., Singh A.K. and Mishra A.K. (2006): Transient free convection flow in a porous region bounded by two vertical walls heated / cooled asymmetrically. – J. Energy Heat Mass Transfer, vol.28, pp.193-207.
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