Natural convection in a shallow cavity with differentially heated end walls. Part 2. Numerical solutions
作者： D. E. Cormack , L. G. Leal , J. H. Seinfeld
DOI: 10.1017/S0022112074001364
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摘要: Numerical solutions of the full Navier-Stokes equations are obtained for problem natural convection in closed cavities small aspect ratio with differentially heated end walls. These cover parameter range Pr = 6.983, 10 ≤ Gr 2x10^4 and 0.05 A 1. comparison asymptotic theory part 1 shows excellent agreement between analytical numerical provided that ≾ 0.1 Gr^2A^3Pr^2 l0^5. In addition, the demonstrate transition shallow-cavity limit boundary-layer limit; fixed, → ∞.
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sci-hub.se 参考文章(12)
G. de Vahl Davis, Laminar natural convection in an enclosed rectangular cavity International Journal of Heat and Mass Transfer. ,vol. 11, pp. 1675- 1693 ,(1968) , 10.1016/0017-9310(68)90047-1
M. E. Newell, F. W. Schmidt, Heat Transfer by Laminar Natural Convection Within Rectangular Enclosures Journal of Heat Transfer-transactions of The Asme. ,vol. 92, pp. 159- 167 ,(1970) , 10.1115/1.3449616
Arthur Rubel, Numerical Study of Natural Convection in a Vertical Rectangular Enclosure Physics of Fluids. ,vol. 12, pp. II- 208 ,(1969) , 10.1063/1.1692438
A. E. Gill, The boundary-layer regime for convection in a rectangular cavity Journal of Fluid Mechanics. ,vol. 26, pp. 515- 536 ,(1966) , 10.1017/S0022112066001368
Charles Quon, High Rayleigh Number Convection in an Enclosure—A Numerical Study Physics of Fluids. ,vol. 15, pp. 12- 19 ,(1972) , 10.1063/1.1693729
Donald W Peaceman, Henry H Rachford, Jr, The Numerical Solution of Parabolic and Elliptic Differential Equations Journal of The Society for Industrial and Applied Mathematics. ,vol. 3, pp. 28- 41 ,(1955) , 10.1137/0103003
J. W. Elder, Numerical experiments with free convection in a vertical slot Journal of Fluid Mechanics. ,vol. 24, pp. 823- 843 ,(1966) , 10.1017/S0022112066001022
J. O. Wilkes, S. W. Churchill, The finite-difference computation of natural convection in a rectangular enclosure AIChE Journal. ,vol. 12, pp. 161- 166 ,(1966) , 10.1002/AIC.690120129
D. E. Cormack, L. G. Leal, J. Imberger, Natural convection in a shallow cavity with differentially heated end walls. Part 1. Asymptotic theory Journal of Fluid Mechanics. ,vol. 65, pp. 209- 229 ,(1974) , 10.1017/S0022112074001352
U Dale, Von Rosenberg, Methods for the Numerical Solution of Partial Differential Equations ,(1969)