Abstract
The transition to unsteadiness of air free convection flows in differentially heated cubic cavity (two opposite vertical faces have fixed temperature, the other ones are adiabatic) is observed in (pseudo-spectral) numerical experiments. It presents a hysteretic behaviour characterized by two critical Rayleigh number values, Ra c1 and Ra c2 , found to lie in the respective ranges [3.3, 3.4] × 107 and [3.1, 3.2] × 107. Those values are about six times smaller than the corresponding Ra 2D,c value for the square cavity. Preliminary results are given about the pre-transitional and transitional flows, their symmetry properties in particular, and some first comparisons between the 2D and the mid-plan 3D flows.
on leave from Institut de Physique, USTHB, El Alia, BP 32, Alger, Algeria
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© 1996 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden
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Tric, E., Labrosse, G., Betrouni, M. (1996). Numerical experimentation of the first transition to unsteadiness of air free convection in a differentially heated cubic cavity with non active adiabatic walls. In: Deville, M., Gavrilakis, S., Ryhming, I.L. (eds) Computation of Three-Dimensional Complex Flows. Notes on Numerical Fluid Mechanics (NNFM), vol 49. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-89838-8_44
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DOI: https://doi.org/10.1007/978-3-322-89838-8_44
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