Dufour Effect on Three-Dimensional Heat and Mass Transfer Flow through a Porous Medium

Kotagiri Srihari

doi:https://doi.org/10.14445/22315373/IJMTT-V47P537

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 47 | Number 4 | Year 2017 | Article Id. IJMTT-V47P537 | DOI : https://doi.org/10.14445/22315373/IJMTT-V47P537

Dufour Effect on Three-Dimensional Heat and Mass Transfer Flow through a Porous Medium

Kotagiri Srihari

Citation :

Kotagiri Srihari, "Dufour Effect on Three-Dimensional Heat and Mass Transfer Flow through a Porous Medium," International Journal of Mathematics Trends and Technology (IJMTT), vol. 47, no. 4, pp. 268-274, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V47P537

Abstract

The present article deals with the effect of Dufour number variation on free-convection flow of a viscous incompressible fluid through a porous medium bounded by an infinite vertical porous plate with periodic permeability. Obtaining closed form solution for this type of 3-D flow problems is practically not feasible due to its high degree of non-linearity. So the problem is solved using finite difference and perturbation methods, for which numerical simulation is carried out by coding in C-Program. Graphical results for velocity, temperature, concentration, Skin-friction and Nusselt number are presented and discussed at various parametric conditions. It is observed that velocity, temperature and Nusselt number increase in the presence of Dufour. Dufour effect greatly influence the temperature profile in the thermal boundary layer.

Keywords

Diffusion-thermo, Porous medium; Periodic permeability; Finite deference method.

References

[1] A.Raptis, G.Perdikis and G.Tzirandis, “Free convection flow through a porous medium bounded by a vertical surface,” J. Phys. D. Appl. Phys, vol,14, pp. 99-102(1), 1981a.
[2] A.Raptis,G.Tzirandis and N.Kafousias , “Free convection A and mass transfer flow through a porous medium bounded by an infinite vertical limiting surface with constant suction,”Letters Heat Mass Transfer,8, , pp. 417-24.(2), 1981b.
[3] A.Raptis, N. Kafousis and C Massalas, “Free convection and mass transfer flow through a porous medium bounded by an infinite vertical porous plate with constant heat flux,” ZAMM, 62, pp.489-91(3), 1982.
[4] A.Raptis, “Unsteady free convective flow through a porous medium,” Int.J. Engng.Sci. 21, pp.345-48(4), 1983.
[5] A.Raptis and C.P.Perdikis, “Oscillatory flow through a porous medium by the presence of free convective flow,” Int. J. Engng Sci.23, pp. 51-55(5), 1985.
[6] K.D.Singh and Suresh Kumar, “Two dimensional unsteady free convective flow through a porous medium bounded by an infinite vertical porous plate with periodic permeability,” J. Math. Phys. Sci. 27, pp. 141-48(6), 1993.
[7] K.D.Singh and G.N.Verma, “Three dimensional oscillatory flow thorough a porous medium with periodic permeability,” ZAMM 75, pp. 599-604.(7) 1995.
[8] K.D.Singh,Khem Chand and G.N.V Verma, “Heat transfer in a three dimensional flow through a porous medium with periodic permeability,” ZAMM 75, pp. 950-52 (8), 1995.
[9] K.D.Singh, “Hydromagnetic effects on three dimensional flow past a porous plate,” ZAMP 41, pp. 441-446(9), 1990.
[10] K.D.Singh,“Three-dimensional MHD oscillatory flow past a porous plate,” ZAMM 71 (3), pp. 192-195(10), 1991.
[11] K.D.Singh and Rakesh Sharma, “Three dimensional free convective flow and heat transfer through a porous medium with periodic permeability,” Indian J. pure appl. Math, 33(6), pp. 941-949, 2002.
[12] N.K.Vershney and K.D.Singh, “Three Dimensional Free Convective Flow and Heat and Mass transfer through a Porous Medium with Periodic Permeability,” Bulletin of Cal Math Society, vol 97(2), pp.95-106, 2005.
[13] P.R.Sharma and G.R.Yadav, “Three-dimensional flow and heat transfer through a porous medium bounded by a porous vertical surface with variable permeability and heat source”, Bull. Cal. Math. Soc, vol98 (3), pp. 237-254, 2005.
[14] N.C.Jain, B.Sharma and D.KVijay, “Three dimensional free convective flow heat transfer flow through a porous medium with periodic permeability in slip Flow regime,” J.Energy,Heat &Mass transfer, vol 28(1), pp.29-44,2006.
[15] K.Srihari, J.Anand Rao, “MHD Three Dimensional free convective flow with heat and mass transfer through a porous medium with periodic permeability,” Journal of the institution of Engineers Mechanical (India), vol89, pp.3-30, 2008.
[16] N.Ahmed, “Magnetic field effect on a three-dimensional mixed convective flow with masstransfer along an infinite vertical porous plate,” Int. J. Eng. Sci. Tech, vol 2(2), pp. 117–135, 2010.
[17] P.Ravinderreddy, K.Srihari and S.Rajireddy, “Combined heat and mass transfer in MHD three-dimensional porous flow with periodic permeability and absorption, “International journal of mechanical Engineering and technology,” vol3 (2), pp. 573-593, 2012.
[18] Taswar Hayat, Sabir Ali Shehzad, Mohmmad Qasim,SaleemAsgar,“Three dimensional stretched flow via convective boundary condition and heat generation/absorption,” International Journal of Numerical methods for Heat and fluid flows,.
[19] Taswar Hayat, Sabir Ali Shehzad, Mohmmad Qasim,SaleemAsgar, Three-dimensional stretched flow via convective boundary condition and heat generation /absorption, ”International Journal of Numerical methods for Heat and fluid flows,” vol24,2014, pp. 342- 358.