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Unsteady natural convection flow of a viscous and incompressible fluid flow over a vertical cone immersed in a stable thermally stratified medium is theoretically studied in this paper. The dimensionless coupled partial differential boundary layer equations are solved numerically using an efficient and unconditionally stable finite-difference scheme of Crank-Nicolson type. The effects of the Prandtl number and stratification parameter on the velocity and temperature profiles as well as the local and average skin friction and Nusselt numbers on the flow and heat transfer characteristics have been determined and discussed in detail. The present results are compared with available results from the open literature and are found to be in good agreement.
Rocznik
Tom
Strony
1073--1092
Opis fizyczny
Bibliogr. 28 poz., rys., wykr.
Twórcy
autor
autor
autor
- Department of Mathematics, Anna University Chennai, INDIA-600025, bapujip@yahoo.com
Bibliografia
- Alamgir M. (1989): Overall heat transfer from vertical cones in laminar free convection: an approximate method. - ASME J. Heat Transfer, vol.101, pp.174-176.
- Angirasa D. and Srinivasan J. (1989): Natural convection flows due to the combined buoyancy of heat and mass diffusion in thermally stratified medium. - ASME J. Heat Transfer, vol.111, pp.657-663.
- Bapuji Pullepu and Ekambavanan K. (2006): Natural convection effects on two dimensional axi-symmetrical shape bodies (flow past a Vertical/cone/thin cylinder) and plane shape bodies (flow over a vertical/ inclined/ horizontal plate). - Proc. of 33rd National and 3rd Int. Conf. on Fluid Mechanics and Fluid Power, December 7-9, IIT, Bombay, India. (Paper No 1707)
- Bapuji Pullepu, Ekambavanan K. and Pop I. (2007): Finite difference analysis of laminar free convection flow past a non isothermal vertical cone. - Heat Mass Transfer, (DOI: 10.1007/s00231-007-0266-3 available on line).
- Bapuji Pullepu, Ekambavanan K. and Pop I. (2007a): Transient laminar free convection from a vertical cone with non-uniform surface heat flux. - Studia Univ. Babes-Bolyai, ser. Mathematica (in Press).
- Carnahan B., Luther H.A. and Wilkes J.O. (1969): Applied numerical methods. - New York: John Wiley & Sons.
- Chamkha A.J. (2002): Laminar hydromagnetic natural convection flow along a heated vertical surface in a stratified environment with internal heat absorption. - Can. J. Phys, vol.80, pp.1145-1155.
- Cheesewright R. (1967): Natural convection from a plane vertical surface in non-isothermal surroundings. - Int. J. Heat Mass Transfer, vol.10, pp.1847-1859.
- Gorla R.S.R and Startman R.A. (1986): Natural convection boundary layer flow of water at 4C past slender cones. - Int. Comm. Heat. Mass Transfer, vol.13, pp.403-411.
- Hering R.G. and Grosh R.J. (1962): Laminar free convection from a non-isothermal cone. - Int. J. Heat Mass Transfer, vol.5, pp.1059-1068.
- Hering R.G. (1965): Laminar free convection from a non-isothermal cone at low Prandtl numbers. - Int. J. Heat Mass Transfer, vol.8, pp.1333-1337.
- Hossain M.A. and Paul S.C. (2001): Free convection from a vertical permeable circular cone with non-uniform surface temperature. - Acta Mechanica, vol.151, pp.103-114.
- Hossain M.A. and Paul S.C. (2001a): Free convection from a vertical permeable circular cone with non-uniform surface heat flux. - Heat Mass Transfer, vol.37, pp.167-173.
- Hossain M.A., Paul S.C. and Mandal A.C. (2002): Natural convection flow along a vertical circular cone with uniform surface temperature and surface heat flux in a thermally stratified medium. - Int. J. Numerical Methods Heat and Fluid Flow, vol.12, pp.290-305.
- Kulkarni A.K., Jacobs H.R. and Hwang J.J. (1987): Similarity solution for natural convection flow over an isothermal vertical wall immersed in thermally stratified medium. - Int. J. Heat Mass Transfer, vol.30, pp.691-698.
- Merk H.J. and Prins J.A. (1953; 1954): Thermal convection laminar boundary layer - I, II. - Appl. Sci. Res, vol.A4, pp.11-24, 195-206.
- Pop I. and Takhar H.S. (1991): Compressibility effects in laminar free convection from a vertical cone. - Appl. Sci. Res, vol.48, pp.71-82.
- Pop I., Grosan T. and Kumari M. (2003): Mixed convection along a vertical cone for fluids of any Prandtl number case of constant wall temperature. - Int. J. Numerical Methods Heat and Fluid Flow, vol.13, pp.815-829.
- Saha S.C. and Hossain M.A. (2004): Natural convection flow with combined buoyancy effects due to thermal and mass diffusion in a thermally stratified media. - Nonlinear Analysis: Modelling and Control, vol.9, pp.89-102.
- Shapiro A. and Fedorovich E. (2004): Unsteady convectively driven flow along a vertical plate immersed in a stably stratified fluid. - J. Fluid Mech., vol.498, pp.333-352.
- Srinivasan J. and Angirasa D. (1988): Numerical study of double-diffusive free convection from a vertical surface. - Int. J. Heat Mass Transfer, vol.31, pp.2033-2038.
- Srinivasan J. and Angirasa D. (1990): Laminar axisymmetric multicomponent buoyant plumes in a thermally stratified medium. - Int. J. Heat Mass Transfer, vol.33, pp.1751-757.
- Takhar H.S., Chamkha A.J. and Nath G. (2004): Effect of thermo-physical quantities on the natural convection flow of gases over a vertical cone. - Int. J. Eng. Sci, vol.42, pp.243-256.
- Takhar H.S., Chamkha A.J. and Nath G. (2001): Natural convection flow from a continuously moving vertical surface immersed in a thermally stratified medium. - Heat Mass Transfer, vol.38, pp.17-24.
- Tripathi R.K. and Nath G. (1993): Unsteady natural convection flow over a vertical plate embedded in a stratified medium. - Int. J. Heat Mass Transfer, vol.36, pp.1125-1128.
- Tripathi R.K., Sau A. and Nath G. (1994): Laminar free convection flow over a cone embedded in a stratified medium, - Mech. Res. Comm, vol.21, pp.289-296.
- Venkatachala B.J. and Nath G. (1981): Nonsimilar laminar natural convection in a thermally stratified fluid. - Int. J. Heat Mass Transfer, vol.24, pp.1848-1850.
- Yang K.T., Novotny J.L. and Cheng Y.S. (1972): Laminar free convection from a nonisothermal plate immersed in a temperature stratified medium. - Int. J. Heat Mass Transfer, vol.15, pp.1097-1109.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0003-0011