Numerical solution and analysis of asymmetric convention in a vertical cylinder: An effect of Prandtl number

AIP Publishing - Tập 1 Số 8 - Trang 1348-1359 - 1989
Emilia Crespo del Arco1, Patrick Bontoux2
1Universidad Nacional de Educacíon a Distancia, Departamento de Física Fundamental, Apdo 60141, 28080 Madrid, Spain
2Institut de Mécanique des Fluides de Marseille, 1 rue Honnorat, 13003 Marseille, France

Tóm tắt

Three-dimensional steady flows are simulated with a finite-difference technique in a cylinder of height-to-radius ratio A=4 heated from below. Basic axisymmetric (m=0) and asymmetric (m=1,2) modes are identified in the solutions. The relative contributions of these modes to the supercritical flow are assessed for Rayleigh numbers up to Ra≅10 Rac at Prandtl number Pr=6.7 and Ra≅2.5 Rac at Pr=0.02. At low Rayleigh number the core flow exhibits characteristic features of the m=1 dominant mode. At elevated Rayleigh numbers secondary vortices corresponding to the m=0 mode appear and develop differently in both size and magnitude for the two Prandtl numbers. The Ra dependence of important characteristic variables is analyzed in light of available nonlinear theories and laboratory measurements.

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Tài liệu tham khảo

1979, J. Fluid Mech., 92, 609, 10.1017/S0022112079000781

1983, J. Crystal Growth, 65, 91, 10.1016/0022-0248(83)90043-X

1983, Eur. Space Agency, SP-191, 285

1984, J. Crystal Growth, 70, 78, 10.1016/0022-0248(84)90250-1

1987, Eur. Space Agency, SP-265, 547

1970, Int. J. Heat Mass Transfer, 13, 1479, 10.1016/0017-9310(70)90181-X

1971, Int. J. Heat Mass Transfer, 14, 2157, 10.1016/0017-9310(71)90037-8

1983, J. Heat Transfer Trans. ASME, 105, 255, 10.1115/1.3245571

1977, Rev. Mod. Phys., 49, 581, 10.1103/RevModPhys.49.581

1982, J. Fluid Mech., 122, 395, 10.1017/S0022112082002274

1984, J. Fluid Mech., 143, 223, 10.1017/S0022112084001324

1986, J. Fluid Mech., 169, 211, 10.1017/S0022112086000599

1987, Eur. Space Agency, SP-265, 529

1986, Adv. Space Res., 6, 155

1965, J. Fluid Mech., 23, 129, 10.1017/S0022112065001271

1978, J. Fluid Mech., 85, 641, 10.1017/S002211207800083X

1973, J. Comput. Phys., 12, 435, 10.1016/0021-9991(73)90097-1

1985, Numer. Heat Transfer, 8, 613

1974, Int. J. Heat Mass Transfer, 17, 991, 10.1016/0017-9310(74)90181-1

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AIP Publishing

Tập 1 Số 8

1348-1359

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