THERMAL SCIENCE
International Scientific Journal
THERMAL RADIATION EFFECTS ON MAGNETO HYDRO DYNAMIC FLOW AND HEAT TRANSFER IN A CHANNEL WITH POROUS WALLS OF DIFFERENT PERMEABILITY
ABSTRACT
This paper deals with the problem of thermal radiation effects on magneto hydro dynamic flow and heat transfer in a channel with porous walls of different permeability. The equations governing the flow are coupled non-linear partial differential equations. By introducing the stream function, the governing partial differential equations are reduced to ordinary differential equations. The governing equations which are coupled and highly non-linear are first linearized by quasilinearization technique and obtained numerical solution by using implicit finite difference scheme. The effects of various parameters, namely, Reynolds number R, Permeability parameter K, Hartmann number S2, Prandtl number Pr, and Thermal radiation parameter F, entering into the problem on the velocity field and temperature distribution are shown graphically.
KEYWORDS
PAPER SUBMITTED: 2011-12-30
PAPER REVISED: 2012-05-14
PAPER ACCEPTED: 2012-06-13
THERMAL SCIENCE YEAR
2014, VOLUME
18, ISSUE
Supplement 2, PAGES [S563 - S572]
- Hossain M.A. and Takhar H.S: Radiation effect on mixed convection along a vertical plate with uniform surface termpreature. Heat and Mass Transfer, vol 31(4), (1996), pp 243-248.
- Ferdows .M, Sattar. M.A. and Siddiki. M.N.A: Numerical approach on parameters of the thermal radiation interaction with convection in a boundary layer flow at a vertical plate with variable suction, Thammasat Int. Jour. Sci. Tech, vol 9,(2004), pp 3.
- M. A. Sattar and M. M. Hossain: Unsteady hydro magnetic free convection flow with the Hall current and mass transfer along an accelerated porous plate with time dependent temperature and concentration. Can. J. Phys., vol.70, (1992)pp.369-374.
- Sriramulu. A. Kishan. N and J. Anand Rao.: Magneto hydro dynamic flow with suction or injection at the forward stagnation point of a infinite plane wall, Far East J. Appl. Math., vol.13(1), (2003), pp.1-11.
- Terrill, R. M. and Shrestha, G. M.: Laminar flow in a uniformly porous channel with an applied transverse magnetic field, Appl. Sci. Res., vol.12B, (1956a), pp.203.
- Alpher, R. A.: Heat Transfer in magneto hydro dynamic flow between parallel plates. Int. J. Heat Mass Transfer, vol.13, (1961), pp.108-112
- Berman, A. S.: Laminar flow in channels with porous walls. J. Appl. Phys., vol.24, (1953), pp.1232.
- Nigam, S. D. and Singh, S. N.: Heat Transfer by laminar flow between parallel plates under the action of transverse magnetic field. Q. J. Mech. Appl. Math., vol.13, (1960), pp.1
- Bataller .C.R: magneto hydro dynamic Boundary layer flow and heat transfer of a non-newtonian power-law fluid past a moving plate with thermal radiation. I L Nuuovo Cimento B vol 121 (2006), pp 951-964.
- Chamkha.. A. J.: Thermal radiation and buoyuancy effects on hydromagnetic flow over an accelerating permeable surface with heat source or sink. Int. Jou. Eng. Sci .vol 38, (2000), pp 1699-1712.
- Mahmoud, M.A.A: Thermal radiation effects on magneto hydro dynamic flow of a micropolar fluid over a stretching surface with variable thermal conductivity. Physica A, vol 375, (2007), pp 401-410.
- Sattar, M.A. and Kalim: Unsteady free convection interaction with thermal radiation in a boundary later flow past a vertical porous plate. Journal of Mahtematics and Physical Sciences, vol 30(1), (1996), pp 25-37.
- Ziya Uddin and Manoj Kumar: magneto hydro dynamic Heat and Mass transfer of a free convection flow near the lower stagnation point of an isothermal cylinder imbedded in porous domain with the presence of radiation. Jordan Journal of Mechanical and Industrial EngineeringIB, vol 5, (2011), pp 2.
- Bellmann, R., and Kalaba, R.: Quasi-linearization and Non-linear Boundary value problems. American Elsevier. (1965). New York.
- Rama Bhargava and Meena Rani: magneto hydro dynamic flow and heat transfer in a channel with porous walls of different permeability, Indian J. Pure and Appl. Maths, vol. 15(4), (1984), pp. 397-408.
- Terrill, R.M. and Shrestha, G.M.: Laminar flow in a porous channel of different permeability, Appl. Sci. Res., vol.11A, (1956b), pp.4.