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Computational Thermal Sciences: An International Journal
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 0.7

ISSN Печать: 1940-2503
ISSN Онлайн: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.2018024497
pages 41-49

STUDY OF EFFECT OF MOLECULAR PRANDTL NUMBER, TRANSPIRATION AND LONGITUDINAL PRESSURE GRADIENT ON FLOW AND HEAT TRANSFER CHARACTERISTICS IN BOUNDARY LAYERS

Alexander I. Leontiev
Institute of mechanics of Lomonosov Moscow State University, 1 Michurinski pr., Moscow 119192, Russia; Bauman Moscow State Technical University, ul. Baumanskaya 2-ya, 5/1, Moscow 105005, Russia
Valerii G. Lushchik
"Energomash" Science and Production Association, M. V. Keldysh Research Center, Institute of mechanics of Lomonosov Moscow State University, Michurinsky prospect 1, 119192, Moscow, Russia
Mariia S. Makarova
Institute of Mechanics, Lomonosov Moscow State University, Moscow, Russia

Краткое описание

A numerical modeling of a subsonic flow at a permeable plate in the presence of a flow pressure gradient is carried out using a differential turbulence model, supplemented with the transport equation for the turbulent heat flux. The dependences of the turbulent Prandtl number and other turbulent flow and heat transfer characteristics from the molecular Prandtl number, injection (suction) intensity of the gas through the permeable wall, and the acceleration parameter of the flow are presented. Air and mixtures of helium with xenon and argon are selected as the gas heat carriers and mercury, water, and transformer oil are selected as the liquid heat carriers, respectively. The effect of the variability of the turbulent Prandtl number on heat transfer characteristics, in particular, on the Nusselt number, is studied. It is shown that the difference of the Nusselt number obtained in the condition of the constant turbulent Prandtl number from the results obtained in the calculations with the equation for the turbulent heat flux increases under low and high molecular Prandtl number. The injection, suction, and pressure gradient also increase this difference and also lead to a substantial violation of the Reynolds analogy.