Analytic-numerical model of a convective boundary layer and heat transfer on a horizontal cone

• Autorzy: Leble S. , Pelc W.
• Języki publikacji: EN

Abstrakty

EN

An approximate analytical solution of a two dimensional problem for stationary Navier-Stokes, continuity and Fourier-Kirchhoff equations describing a free convective heat transfer from an isothermal cone is presented. The problem formulation is based on assumptions typical for natural convection: non-compressibility and the Boussinesq approximation. The solution is based on Frobenius expansions at the vicinities of two points: the initial point and the singular point of the boundary layer equation. Numerical matching of the expansions and Nusselt number evaluations are traced.

Słowa kluczowe

EN

natural convection; Fourier-Kirchhoff equations; boundary layer equation; isothermal cone; matching of Frobenius expansions

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2009
• Tom: Vol. 13, No 1-2
• Strony: 133--144
• Opis fizyczny: Bibliogr. 11 poz., rys., tab.

Twórcy

autor

Leble S.

autor

Pelc W.

• Gdansk University of Technology, Narutowicza 11/12, 80-233 Gdansk, Poland,

Bibliografia

• [1] Jaluria Y 1980 Natural Convection Heat and Mass Transfer, Pergamon Press, Oxford tq113l-e/143 17 VI 2009 BOP s.c., http://www.bop.com.pl
• [2] Lewandowski W M, Kubski P, Szymański S, Bieszk H, Wilczewski T, Radziemska E and Seramak T 1997 5 th UK National Conference on Heat Transfer, London, p. 5
• [3] Stewart W E 1971 Int. J. Heat Mass Transfer 14 1013
• [4] Hering R G 1965 Int. J. Heat Mass Transfer 8 1333
• [5] Oosthuizen P H and Donaldson E 1972 J. Heat Transfer Transitions of the ASME 94 330
• [6] Oosthuizen P H 1973 J. Heat Transfer Transitions of the ASME 95 409
• [7] Churchill S W 1983 Free Convection Around Immersed Bodies, 2.5 Single-Phase Convective Heat Transfer, Hemisphere Publishing Corporation
• [8] Lewandowski W M and Leble S 2003 Int. J. Heat and Mass Transfer 46 4925
• [9] Leble S and Lewandowski W M 2004 Appl. Math. Model. 28 305
• [10] Squire H B 1938 Modern Developments in Fluid Dynamics (Goldstein S, Ed.), Clarendon Press, Oxford (reprinted by Dover, New York, 1965)
• [11] Eckert E R G 1959 Heat and Mass Transfer, McGraw-Hill, New York 312