Vertical heat transport at infinite Prandtl number for micropolar fluid

• Autorzy: Caggio M. , Kalita P. , Łukaszewicz G. , Mizerski K. A.

Identyfikatory

DOI

10.24423/aom.3598

• Języki publikacji: EN

Abstrakty

EN

We investigate the upper bound on the vertical heat transport in the fully 3D Rayleigh–Bénard convection problem at the infinite Prandtl number for a micropolar fluid. We obtain a bound, given by the cube root of the Rayleigh number, with a logarithmic correction. The derived bound is compared with the optimal known one for the Newtonian fluid. It follows that the (optimal) upper bound for the micropolar fluid is less than the corresponding bound for the Newtonian fluid at the same Rayleigh number. Moreover, strong microrotational diffusion effects can entirely suppress the heat transfer. In the Newtonian limit our purely analytical findings fully agree with estimates and scaling laws obtained from previous theories significantly relying on phenomenology.

Słowa kluczowe

EN

micropolar fluid; Rayleigh–Benard convection; heat transport; Rayleigh number; Prandtl number; Nusselt number

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2020
• Tom: Vol. 72, nr 6
• Strony: 525--553
• Opis fizyczny: Bibliogr. 25 poz.

Twórcy

autor

Caggio M.

• Department of Information Engineering, Computer Science and Mathematics, University of L’Aquila, Via Vetoio, Coppito, 67100 L’Aquila, Italy

autor

Kalita P.

• Faculty of Mathematics and Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

autor

Łukaszewicz G.

• Institute of Applied Mathematics and Mechanics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland

autor

Mizerski K. A.

• Department of Magnetism, Institute of Geophysics, Polish Academy of Sciences, Księcia Janusza 64, 01-452 Warsaw, Poland

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