An investigation of heat transfer in a cavity flow in the non-continuum regime

[+] Author and Article Information
Chariton Christou

School of Engineering and Physical Sciences, Heriot-Watt University, Edinburgh, EH14 4AS, Scotland

S.Kokou Dadzie

School of Engineering and Physical Sciences, Heriot-Watt University, Edinburgh, EH14 4AS, Scotland

1Corresponding author.

ASME doi:10.1115/1.4036340 History: Received August 29, 2016; Revised March 10, 2017


Volume diffusion (or bi-velocity) continuum model offers an alternative modification to the standard Navier-Stokes-Fourier for simulating rarefied gas flows. According to this continuum model, at higher Knudsen numbers the contribution of molecular spatial stochasticity increases. In this paper, we study a micro-cavity heat transfer problem as it provides an excellent test for new continuum flow equations. Simulations are carried out for Knudsen numbers within the slip and higher transition flow regimes where non-local-equilibrium and rarefaction effects dominate. We contrast predictions by a Navier-Stokes-Fourier model corrected by volume diffusion flux in its constitutive equations to that of the direct simulation Monte Carlo (DSMC) method and the standard Navier-Stokes-Fourier model. The results show improvement in the Navier-Stokes-Fourier prediction for the high Knudsen numbers. The new model exhibits proper Knudsen boundary layer in the temperature and velocity fields.

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