Research Journal of Science and Technology

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Double Diffusive Mixed Convetive Heat and Mass Transfer Flow of a Viscous Fluid Through a Porous Medium in a Rectangular Duct


Affiliations
1 Department of Mathematics, V.S.U. P.G. Center, Kavali, India
2 Department of Applied Mathematics, S.P.M.V.V, Tirupati, India
     

   Subscribe/Renew Journal


In this chapter, we discuss the combined influence of radiation and dissipation on the convective heat and mass transfer flow of a viscous fluild through a porous medium in a rectangular cavity using Darcy model. The governing non- linear coupled equations for the momentum, energy and diffusion are derived in terms of the non-dimensional stream function, temperature and concentration. The Galerkin finite element analysis with linear traingular elements is used to obtain the Global stiffness matrices for the values of stream function, temperature and concentration. These coupled matrices are solved using iterative procedure and expressions for stream function, temperature and concentration are obtained as a linear combinations of the shape functions. The behaviour of temperature, concentration, Nusselt number and sherwood number are discussed computationally for different values of the governing parameters.

Keywords

Heat Generation, Thermal Radiation And Chemical Reaction Effects.
Subscription Login to verify subscription
User
Notifications
Font Size


  • Badruddin, I. A, Zainal, Z.A, Aswatha Narayana, Seetharamu, K.N : “Heat transfer in porous cavity under the influence of radiation and viscous dissipation,” Int. Comm. In Heat and Mass Transfer 33 (2006), pp, 491-499.

  • Bankvall, C.G,: Natural convective heat transfer in a insulated structures, Lundinst. Tech. Report 38, pp, (1-149), (1972).

  • Bankvall, C.G, : Heat transfer in fibrous material, J. Test. E; v. 3, pp, 235-243 (1973).

  • Bejan, A, : On the boundary layer region in a vertical enclosure filled with a porous medium letters heat and mass transfer, v. 6, pp, 93-102 (1979).

  • Beckermann, C : Ramadhyani, S, and Viskanta, R,: Natural convection flow and heat transfer between fluid layer and a porous layer inside a rectangular enclosure, Journal of heat transfer, v. 109, p, 363 (1987).

  • Cheng, K.S. and J.R. Hi., : Steady, Two-dimensional, natural convection in rectangular enclosures with differently heated walls transaction of the ASME, v. 109, p, 400, (1987).

  • Chan, B.K.C, Ivey, U.M and Barry, J.M : Natural convection in enclosed porous medium with rectangular boundaries ASME journal of heat transfer, v. 92, pp, 21-27 (1970).

  • Hickox, C.E and Gartling, D.K : ASME. J. Heat Transfer,V.103, pp.797-802(1981)

  • Hiroxhi Iwai, Kazuyoshi nakabe, Kenjiro Suzuki : Flow and Heat transfer characteristics of backward-facing step laminar flow in a rectangular duct.,Int.J.Heat and Mass transfer,V.43,pp.457-471(2000)

  • Holst, P.H, : Transient three dimensional natural convection in confined porous media, Int. J. Heat Mass transfer, v. 15, pp, 72-89 (1972).

  • Joseph, J. Savino and Robert Siegel, : Laminar forced convection in Rectangular channels with unequal Heat addition on adjacent sides. Int. J. Heat Mass transfer vol. 71, pp, 733-741 (1964).

  • Kakutani,J : J.Phys.Soc,Japan,V.13,p.1504(1958)

  • Kermant, B.C.C, : Natural convection flow and heat transfer between a fluid layer and a porous layer inside a rectangular enclosure, heat transfer laboratory, Purdue, University, Indiana.

  • Kamotani, Wang. L.W. Ostrach. S. and Jiang, H.D. : Experimental study of natural convection in shallow enclosures with horizontal temperature and concentration gradients, Int. J. Heat Mass transfer, v. 28 pp, 165-173, (1985).

  • Lauriant, F : Natural convection and radiation on enclosure partially, filled with a porous insulation ASME pp. 84-107 (1984).

  • Morrison, F. A : Transient multiphase Multi component flow in porous media. Int. J. Heat mass transfer v. 16, pp, 2331-2341 (1973).

  • Prasad, V. and Kulacki, F.A : Natural convection in a vertical porous annulus, Int. J. Heat mass transfer, v. 27, pp, 207-219 (1984).

  • Padmalatha, K : Ph.D. Thesis on “Finite element analysis of laminar convection flow through a porous medium in ducts,” S.K. University, Anantapur, (A. P) India (1997).

  • Padmavathi, A : Finite element analysis of the Convective heat transfer flow of a viscous in compressible fluid in a Rectangular duct with radiation, viscous dissipation with constant heat source, Jour. Phys and Appl.Phys.,V.2 (2009).

  • Prasad, V. and Kulacki, F.A : Convective heat transfer in a rectangular porous cavity effect of aspect ratio flow structure and heat transfer, ASME Journal of heat transfer v. 106, pp, 158-165 (1984).

  • Rangareddy, M : Heat and Mass transfer by Natural convection through a porous medium in ducts ,Ph. D thesis, S.K. University, Anantapur(1997)

  • Reddaiah, P : Heat and Mass Transfer flow of a viscous fluid in a duct of rectangular cross section by using finite element analysis, European J. of prime and applied mathematics (Accepted) (2010).

  • Sivaiah, S : Thermo-Diffusion effects on convective heat and mass transfer through a porous medium in Ducts, Ph.D thesis, S.KUniversity, Anantapur, India (2004).

  • Teamah, M, El-Maghlany, W, Anany, M and Khallaf, S : Numerical study of double diffusive mixed convection in a rectangular ventilated cavity with heat generation and mass source. Int. J. of Adv. Sci. and Tech. Res., Issue 3, Vol.6, pp.242-254 (2013).


Abstract Views: 362

PDF Views: 0




  • Double Diffusive Mixed Convetive Heat and Mass Transfer Flow of a Viscous Fluid Through a Porous Medium in a Rectangular Duct

Abstract Views: 362  |  PDF Views: 0

Authors

Sriveni
Department of Mathematics, V.S.U. P.G. Center, Kavali, India
A. Leela Ratnam
Department of Applied Mathematics, S.P.M.V.V, Tirupati, India

Abstract


In this chapter, we discuss the combined influence of radiation and dissipation on the convective heat and mass transfer flow of a viscous fluild through a porous medium in a rectangular cavity using Darcy model. The governing non- linear coupled equations for the momentum, energy and diffusion are derived in terms of the non-dimensional stream function, temperature and concentration. The Galerkin finite element analysis with linear traingular elements is used to obtain the Global stiffness matrices for the values of stream function, temperature and concentration. These coupled matrices are solved using iterative procedure and expressions for stream function, temperature and concentration are obtained as a linear combinations of the shape functions. The behaviour of temperature, concentration, Nusselt number and sherwood number are discussed computationally for different values of the governing parameters.

Keywords


Heat Generation, Thermal Radiation And Chemical Reaction Effects.

References