Equivalence of three thermal boundary conditions in compressible turbulent channel flows

Zhang，Peng1; Song，Yubin1; Liu，Yilang1; Xia，Zhenhua1,2

2022-06-01

10.1103/PhysRevE.105.065106

Physical Review E   Impact Factor & Quartile

2470-0045

2470-0053

In this paper, direct numerical simulations have been performed to explore the equivalence of different thermal boundary conditions in compressible turbulent channel flows at fixed Re=6000,Ma=1.5. Three canonical types of thermal boundary conditions will be investigated at almost equivalent setups, including the first boundary condition with fixed wall temperature Tw (constant Dirichlet boundary condition), the second boundary condition with fixed wall heat-flux qw (constant Neumann boundary condition), and the third boundary condition (Robin boundary condition). The turbulent statistics of the temperature and velocity fields, including mean profiles, root-mean-square values, second-order statistics, and normalized probability density functions, temperature stripes near the wall and the budget of internal energy have been analyzed in detail to clarify the differences caused by the different thermal boundary conditions. The results show that the three thermal boundary conditions have almost negligible effect on the velocity field, whereas some discernible deviations can be observed for the temperature field in the near-wall region with y+≲30. Furthermore, the statistics from the second and third thermal boundary conditions are very close, enabling the usage of the second boundary condition to mimic the more complex third boundary conditions.

SCI ; EI

English

Corresponding

WOS:000817801500002

20222712324515

Budget control ; Channel flow ; Heat flux ; Probability density function ; Velocity ; Wall flow

Fluid Flow, General:631.1 ; Heat Transfer:641.2 ; Probability Theory:922.1

PHYSICS

2-s2.0-85133316066

Scopus

1.State Key Laboratory of Fluid Power and Mechatronic Systems,Department of Engineering Mechanics,Zhejiang University,Hangzhou,310027,China
2.Guangdong Provincial Key Laboratory of Turbulence Research and Applications,Southern University of Science and Technology,Shenzhen,518055,China

Zhang，Peng,Song，Yubin,Liu，Yilang,et al. Equivalence of three thermal boundary conditions in compressible turbulent channel flows[J]. Physical Review E,2022,105(6).

Zhang，Peng,Song，Yubin,Liu，Yilang,&Xia，Zhenhua.(2022).Equivalence of three thermal boundary conditions in compressible turbulent channel flows.Physical Review E,105(6).

Zhang，Peng,et al."Equivalence of three thermal boundary conditions in compressible turbulent channel flows".Physical Review E 105.6(2022).