Forcheimeir Effect on Transport Process with
Internal Heat Source and Varying the Fluid
Properties

Nalinakshi N; Dinesh P A; Jayalakshmamma D V

doi:https://doi.org/10.14445/22315373/IJMTT-V61P526

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 61 | Number 3 | Year 2018 | Article Id. IJMTT-V61P526 | DOI : https://doi.org/10.14445/22315373/IJMTT-V61P526

Forcheimeir Effect on Transport Process with Internal Heat Source and Varying the Fluid Properties

Nalinakshi N, Dinesh P A, Jayalakshmamma D V

Citation :

Nalinakshi N, Dinesh P A, Jayalakshmamma D V, "Forcheimeir Effect on Transport Process with Internal Heat Source and Varying the Fluid Properties," International Journal of Mathematics Trends and Technology (IJMTT), vol. 61, no. 3, pp. 186-194, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V61P526

Abstract

The Analysis of Internal Heat source for transport processes of the physical system formulated with Forcheimeir model is studied. The extended Darcy model is used here. For Physical problem considered here, the governing measures are highly coupled. To solve them, initially similarity transformations are used to convert them into ODE and solved approximately. RK method of fifth order followed by Newton-Raphson method is employed. The graphical representations are obtained for transport processes, where the features of fluid flow are discussed. The exponential form of internal heat source enhances melting and impedes freezing. The significance of inertial parameter is highly influenced in decreasing the flow field. Besides, skin friction, heat and mass transport graphical interpretations are made for different physical parameters. A good agreement is found when interpretation of the effects of various significant parameters are analysed and the results are compared.

Keywords

Double Diffusion, boundary layer, porous medium, Internal Heat Generation (IHG).

References

[1] Alam M.S., Rahman M.M & Samad M.A., “Numerical Study of the Combined Free-Forced Convection and Mass Transfer Flow Past a Vertical Porous Plate in a Porous Medium with Heat Generation and Thermal Diffusion”, Nonlinear Analysis: Modelling and Control, Vol. 11(4), 331-343 (2006).
[2] Ali J Chamkha., “Heat and Mass transfer for a Non-Newtonian fluid flow along a surface embedded in a porous medium with uniform wall Heat and Mass fluxes and Heat generation or Absorption”, Intl. J. of energy, Vol.1(3), 97-104 (2007).
[3] Benanati R.F., & Brosilow C.B., “Void fraction distribution in beds of spheres”, AIChe. J., Vol.8, 359-361(1962).
[4] Chamkha A.J., & Khaled A.R.A., “Similarity solution for hydromagnetic simultaneous heat and mass transfer by natural convection from an inclined plate with internal heat generation or absorption”, Heat Mass Transfer, Vol. 37, 117 -123 (2001).
[5] Chandrasekhara B.C., & Namboodiri P.M.S., “Influence of variable permeability on combined vertical surfaces in porous medium”, International Journal of Heat Mass Transfer, Vol.28, 199-206 (1985).
[6] Chandrasekhara B.C., Namboodiri P.M.S., & Hanumanthappa A.R., “Similarity solutions of buoyancy induced flows in a saturated porous medium adjacent to impermeable horizontal surfaces”, Warme Stoffubertrag, Vol.18, 17-23 (1984).
[7] Ferdows M., Bangalee M.Z.I., Crepeau J.C., & Seddeek M.A., “The effect of Variable Viscosity in double diffusion problem of MHD from a porous boundary with Internal Heat Generation”, Progress in Computational Fluid Dynamics, Vol.11(1), 54-65 (2011).
[8] Hsieh J.C., Chen T.S., & Armaly B.F., “Non-similarity solutions for mixed convection from vertical surfaces in porous medium with variable surface temperature or heat flux”, Int. J. Heat Mass Transfer, Vol. 38(4), 1485-1493 (1993).
[9] Lai F.C., Kulacki F.A., & Prasad V., “Mixed convection in saturated porous medium”, Kluwer Academic publishers, Vol.196, 225-287 (1991).
[10] M. A. Seddeek, “Finite Element Method for the effects of chemical Reaction, Variable viscosity, thermophoresis and Heat Generation / Absorption on a Boundary layer Hydro Magnetic flow with heat and Mass transfer over a Heat surface”, ActaMechanica,Vol.177, 1 -18 (2005).
[11] M.S Alam, M.M Rahman, & M.A. Samad, “Numerical Study of the Combined Free-Forced Convection and Mass Transfer Flow Past a Vertical Porous Plate in a Porous Medium with Heat Generation and Thermal Diffusion”, Nonlinear Analysis: Modelling and Control, Vol. 11(4), 331-343 (2006).
[12] Mohamad, “Double diffusive Convection radiation interaction on unsteady MHD flow over a vertical moving porous plate with heat generation and soret effect”, Applied Mathematical Sciences, Vol. 13, 629-651(2009).
[13] Mohammadein A.A., & El-Shaer N.A., “Influence of variable permeability on combined free and forced convection flow past a semi-infinite vertical plate in a saturated porous medium”, Heat Mass Transfer, Vol.40, 341-346 (2004).
[14] N. Nalinakshi, P.A. Dinesh, and D.V. Chandrashekhar “Effects of Internal Heat Generation and Variable Fluid Properties on Mixed Convection Past a Vertical Heated Plate”. Fluid Dynamics and Material Processing (FDMP), vol.10, no.4, pp.465-490 (2014).
[15] Pal D., & Shivakumara I S., “Mixed Convection heat transfer from a vertical heated plate embedded in a sparsely packed porous medium”, Int. J. Appl. Mech. Eng., Vol.11, 929-939 (2006).
[16] Patil P.M. & Kulkarni P.S., “Effects of Chemical reaction on free convective flow of a Polar fluid through a porous medium in the presence of internal heat generation”, Int. J. therm. Sci., Vol. 4, 1043 – 1054 (2008).
[17] Ranganathan P., & Viskanta, “Mixed convection boundary layer flow along a vertical surface in a porous medium”, Num. Heat Transfer, Vol.7, pp. 305-317 (1984).
[18] Schwartz C.E., & Smith J.M., “Flow distribution in packed beds”, Ind. Eng. Chem., Vol.45, 1209-1218 (1953).
[19] Seddeek M.A., “Finite Element Method for the effects of chemical Reaction, Variable viscosity, thermophoresis and Heat Generation / Absorption on a Boundary layer Hydro Magnetic flow with heat and Mass transfer over a Heat surface”, Acta Mechanica, Vol.177, 1 -18 (2005).
[20] Vajravelu K., & Hadjinicolaou A., “Heat Transfer in a viscous fluid over a stretching sheet with viscous dissipation and internal heat generation”, Int. Commum. Heat Mass Transfer, Vol. 20, 417-430 (1993).