The effects of inclination angle and Prandtl number on the mixed convection in the inclined lid driven cavity using lattice Boltzmann method

• Autorzy: Karimipour A. , Nezhad A. H. , D’Orazio A. , Shirani E.

Warianty tytułu

PL

Analiza za pomocą siatki Boltzmanna wpływu kąta pochylenia oraz liczby Prandtla na mieszaną konwekcję w ukośnej szczelinie domkniętej ruchomą pokrywą

• Języki publikacji: EN

Abstrakty

EN

The laminar mixed convection in a two-dimensional rectangular inclined cavity with moving top lid is investigated using the double population thermal lattice Boltzmann method (LBM) at different values of the Richardson number, inclination angle and the Prandtl number. In this problem, velocity components are changed by both buoyancy forces and the inclination angle of the cavity. Comparison of the present results with other available data show good agreement. As the results, the velocity and temperature profiles, the Nusselt number, streamlines and isotherms are presented and discussed. It is shown that the increase of Prandtl number enhances the heat transfer rate, especially at higher values of inclination angle and Richardson number. Moreover, the average Nusselt number at the upper limit of the considered range of the Richardson and Prandtl numbers variability increases by a factor of 9.

PL

W pracy zajęto się problemem mieszanej konwekcji laminarnej w dwuwymiarowej, prostokątnej i ukośnie usytuowanej szczelinie domkniętej od góry ruchomą pokrywą. W badaniach zastosowano metodę siatki termicznej Boltzmanna (LBM) podwójnej populacji, uwzględniając rożne wartości liczby Richardsona, kąta pochylenia szczeliny oraz liczby Prandtla. W rozważanym zagadnieniu, składowe prędkości zostały poddane zmianom indukowanym siłami wyporu oraz kątem pochylenia szczeliny. Porównanie otrzymanych wynikow analizy z dostępnymi w literaturze danymi wykazało dobrą zgodność. Rezultatem badań w pracy są także profile rozkładu prędkości i temperatury, liczba Nusselta, linie prądu oraz izotermy, które szczegółowo przedyskutowano. Pokazano, że wzrost liczby Prandtla zwiększa transfer ciepła, zwłaszcza dla wyższych wartości kąta pochylenia szczelin i liczby Richardsona. Co więcej, średnia liczba Nusselta przy górnych wartościach przyjętego zakresu zmienności liczb Richardsona i Prandtla wzrasta 9-krotnie.

Słowa kluczowe

EN

LBM; inclination angle; Prandtl number; mixed convection

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2013
• Tom: Vol. 51 nr 2
• Strony: 447--462
• Opis fizyczny: Bibliogr. 46 poz., rys., tab.

Twórcy

autor

Karimipour A.

• Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Isfahan, Iran

autor

Nezhad A. H.

• University of Sistan and Baluchestan, Department of Mechanical Engineering, Zahedan, Iran

autor

D’Orazio A.

• Dipartimento di Ingegneria Astronautica, Elettrica ed Energetica, Sapienza Universit`a di Roma, Rome, Italy

autor

Shirani E.

• Foolad Institute of Technology, Fooladshahr, Esfahan, Iran

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