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Natural convection in an enclosure with localized heating from below. (English) Zbl 0277.76085


MSC:

76R05 Forced convection
65N06 Finite difference methods for boundary value problems involving PDEs
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References:

[1] Barakat, H. Z.; Clark, J. A., Analytical and experimental study of the transient laminar natural convection flows in partially filled liquid containers, (Proc. Third Int. Heat Trans. Conf., 2 (1966), Amer. Inst. Chem. Eng: Amer. Inst. Chem. Eng Chicago, Ill), 150-162
[2] Batchelor, G. K., Heat transfer by free convection across a closed cavity between vertical boundaries at different temperatures, Quart. Appl. Math., 2, 209-233 (1954) · Zbl 0057.41701
[3] Fromm, J., The time dependent flow of an incompressible viscous fluid, (Methods in Computational Physics, 3 (1964), Academic Press: Academic Press New York), 346-382
[4] Greenspan, D., Numerical studies of prototype cavity flow problems, Computer Jour., 12, 89-94 (1969) · Zbl 0164.56102
[5] D.H. Schultz, Experimental Numerical Solution of the Navier-Stokes Equations for the Flow of a Fluid in a Heated Closed Cavity, Ph. D. Thesis, University of Wisconsin, Madison, to appear in published form in QJMAM.; D.H. Schultz, Experimental Numerical Solution of the Navier-Stokes Equations for the Flow of a Fluid in a Heated Closed Cavity, Ph. D. Thesis, University of Wisconsin, Madison, to appear in published form in QJMAM.
[6] Torrance, K. E.; Rockett, J. A., Numerical study of natural convection in an enclosure with localized heating from below-creeping flow to the onset of laminar instability, Jour. Fluid. Mech., 36, 33-54 (1969) · Zbl 0167.25303
[7] Greenspan, D., Numerical solution of a class of nonsteady cavity flow problems, BIT, 8, 287-294 (1968) · Zbl 0179.56701
[8] Greenspan, D., Numerical studies of steady, viscous, incompressible flow in a channel with a step, Jour. Eng. Math., 3, 21-28 (1969) · Zbl 0169.28206
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