1. Variable property DNS of differentially heated cavities filled with air
- Author
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Demou, Andreas D., Grigoriadis, Dimokratis G. E., Grigoriadis, Dimokratis G. E. [0000-0002-8961-7394], and Demou, Andreas D. [0000-0002-9510-0682]
- Subjects
Fluid Flow and Transfer Processes ,Physics ,Range (particle radiation) ,Field (physics) ,Turbulence ,Mechanical Engineering ,Prandtl number ,Flow (psychology) ,Boundary (topology) ,02 engineering and technology ,Mechanics ,021001 nanoscience & nanotechnology ,Condensed Matter Physics ,01 natural sciences ,010305 fluids & plasmas ,Physics::Fluid Dynamics ,symbols.namesake ,Transition point ,0103 physical sciences ,symbols ,Rayleigh scattering ,0210 nano-technology - Abstract
Direct numerical simulations (DNS) of the thermally-driven flow of air inside differentially heated cavities (DHC) are presented. The variation of air properties is taken into account using the low-Mach approximation, to obtain solutions outside the limits of the Oberbeck–Boussinesq (OB) approximation. The effects of the cavity’s aspect-ratio A and large temperature differences ΔT were investigated over the range 1 ≤ A ≤ 8 and ΔT ≤ 720 K. The Rayleigh and Prandtl numbers were set at R a = 10 9 and P r = 0.7 , considering a reference temperature of T 0 = 600 K. Time-averaged and r.m.s. statistics of the temperature field along with other derived quantities are presented and discussed. It is found that the time-averaged temperature fields vary significantly between non-Oberbeck–Boussinesq (NOB) and OB cases for larger aspect-ratios. This is also true for the instantaneous temperature and temperature r.m.s. fields which demonstrate significant qualitative differences. In addition, as the temperature difference increases and the property variations become more intense, the boundary layers at the vertical walls become turbulent at lower positions. The relocation of the laminar-turbulent transition point is found to be strongly dependent on the cavity’s aspect-ratio. An explanation of this phenomenon is given, based on the disruption of the vertical boundary layers by horizontal streams originating from the downstream part of the vertical walls.
- Published
- 2020