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Reseach Article

Unsteady Free Convective Heat and Mass Transfer Past a Vertical Cone in Non-Darcian Porous Media

by S. Gouse Mohiddin, O. Anwar Beg, S. Vijaya Kumar Varma
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 56 - Number 7
Year of Publication: 2012
Authors: S. Gouse Mohiddin, O. Anwar Beg, S. Vijaya Kumar Varma
10.5120/8902-2929

S. Gouse Mohiddin, O. Anwar Beg, S. Vijaya Kumar Varma . Unsteady Free Convective Heat and Mass Transfer Past a Vertical Cone in Non-Darcian Porous Media. International Journal of Computer Applications. 56, 7 ( October 2012), 17-25. DOI=10.5120/8902-2929

@article{ 10.5120/8902-2929,
author = { S. Gouse Mohiddin, O. Anwar Beg, S. Vijaya Kumar Varma },
title = { Unsteady Free Convective Heat and Mass Transfer Past a Vertical Cone in Non-Darcian Porous Media },
journal = { International Journal of Computer Applications },
issue_date = { October 2012 },
volume = { 56 },
number = { 7 },
month = { October },
year = { 2012 },
issn = { 0975-8887 },
pages = { 17-25 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume56/number7/8902-2929/ },
doi = { 10.5120/8902-2929 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:58:21.757451+05:30
%A S. Gouse Mohiddin
%A O. Anwar Beg
%A S. Vijaya Kumar Varma
%T Unsteady Free Convective Heat and Mass Transfer Past a Vertical Cone in Non-Darcian Porous Media
%J International Journal of Computer Applications
%@ 0975-8887
%V 56
%N 7
%P 17-25
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

A numerical solution of transient laminar free convective heat and mass transfer in a viscoelastic fluid past a vertical cone in non-Darcian porous media in the presence of thermal radiation is presented. The Walters-B liquid model is employed to simulate medical creams and other rheological liquids encountered in biotechnology and chemical engineering. This rheological model introduces supplementary terms into the momentum conservation equation. The dimensionless governing equations of the flow are solved by an implicit finite difference scheme of Crank-Nicolson type. The velocity, temperature and concentration fields have been studied for the effect of radiation parameter, viscoelasticity parameter, Prandtl number, Schmidt number, buoyancy ratio parameter, Darcy number, Grashof number, Forchheimer number and semi vertical angle. The local skin friction, Nusselt number and Sherwood number are also presented and analyzed graphically. The numerical results are validated by comparisons with previously published work and are found to be in excellent agreement.

References
  1. Raptis A. (1999). Radiation and viscoelastic flow, Int. Communications Heat Mass Transfer, 26, pp. 889-895.
  2. Yih, K. A. (1999). Effect of radiation on natural convection about a truncated cone, Int J Heat Mass Transfer, 42, pp. 4299-4305.
  3. Cheng, P. , Le, T. T. , Pop, I. (1985). Natural convection of a Darcian fluid about a cone, Int. J Heat Mass Transfer, 12, pp. 705-717.
  4. Yih, K. A. (1999). Coupled heat and mass transfer by free convection over a truncated cone in porous media: VWT/VWC or VHF/VMF, Acta Mechanica, 137, 83-97.
  5. Cheng, C. Y. (2000). An integral approach for heat and mass transfer by natural convection from truncated cones in porous media with variable wall temperature and concentration, Int. Commun. Heat Mass Transf, 27, pp. 537-548.
  6. Cheng, C. Y. (2009). Natural convection heat and mass transfer from a vertical truncated cone in a porous medium saturated with a non-Newtonian fluid with variable wall temperature and concentration, Int. Commun. Heat Mass Transf, 36, pp. 585-589.
  7. Barree, R. D. , Conway, M. W. (2004). Beyond Beta Factors: A Complete Model for Darcy, Forchheimer, and Trans-Forchheimer Flow in Porous Media, paper SPE 89325 presented at the SPE ATCE held in Houston, TX, USA; 26-29 Sep.
  8. Walters, K. (1962). Non-Newtonian effects in some elastico-viscous liquids whose behaviour at small rates of shear is characterized by a general linear equation of state, Quart. J. Mech. Applied. Math. , 15, pp. 63-76.
  9. Reeve, H. M. , Mescher, A. M. , Emery, A. F. (2004). Investigation of steady-state drawing force and heat transfer in polymer optical fiber manufacturing, ASME J. Heat Transfer, 126, pp. 236-243.
  10. Bapuji Pullepu, Ekambavanan, K. , Chamkha, A. J. (2008). Unsteady laminar free convection from a vertical cone with uniform surface heat flux, Nonlinear Analysis: Modelling and Control, 13, pp. 47-60.
  11. Ganesan, P. , Loganathan, P. (2001). Unsteady natural convection flow past a moving vertical cylinder with heat and mass transfer, Heat Mass Transf. , 37, pp. 59-65.
  12. Gouse Mohiddin, S. , Computational Fluid Dynamics, LAP Lambert Academic Publishing, Germany 2011.
  13. Gouse Mohiddin, S. , Prasad, V. R. , Varma, S. V. K. , Anwar Bég, O. , Numerical Study Of Unsteady Free Convective Heat And Mass Transfer In A Walters-B Viscoelastic Flow Along A Vertical Cone, Int. J. of Appl. Math. and Mech. , 6 (2010) 88-114.
  14. Carnahan, B. , Luther, H. A. , Wilkes, J. O. (1969). Applied Numerical Methods, John Wiley and Sons, New York.
  15. Hering, R. G. (1965). Laminar free convection from a non-isothermal cone, Int. J. Heat Mass Transfer, 8, pp. 1333-1337.
  16. Pullepu, B. , Ekambavanan, K. , Chamkha, A. J. (2007). Unsteady laminar natural convection from a non-isothermal vertical cone, Nonlinear Analysis: Modelling and Control, 12, pp. 525-540.
Index Terms

Computer Science
Information Sciences

Keywords

Vertical Cone Free convection porous media Crank-Nicolson method Forchheimer number viscoelasticity