Numerical Simulation of Oscillating Heat Transfer of Rarefied Binary Gas Between Two Plates

doi:10.19596/j.cnki.1001-246x.8671

Abstract

Abstract:

In this paper, the discrete unified gas kinetic scheme (DUGKS) is used to solve the McCormack model of binary gas, simulate the flow and heat transfer of rarefied binary gas between two plates excited by the periodic fluctuation of lower plate temperature, and analyze the effects of system rarefied parameters, temperature change frequency and component molar concentration on the flow and heat transfer between plates. The numerical results show that the gas flow and heat transfer between the two plates change periodically, and we find that the minimum local temperature exists between the plates, and its position is inversely proportional to the degree of system thinning. In addition, it is found that the thermal penetration depth decreases with the increase of the rarefaction parameter. The heat penetration depth first increases with the increase of light component concentration, reaches the highest value when the light component concentration is about 0.6, and finally decreases and is consistent with the result of single component gas.

Key words: mixed gas, flow and heat transfer, heat penetration depth, discrete unified gas kinetic scheme

CLC Number:

O356

Qikun WAN, Yue ZHANG, Zhaoli GUO. Numerical Simulation of Oscillating Heat Transfer of Rarefied Binary Gas Between Two Plates[J]. Chinese Journal of Computational Physics, 2023, 40(6): 653-665.

Figures/Tables 11

Fig.1 Structure diagram of problem

Table 1 Meshes and discrete velocity sets ((n, Nm/Gm) denotes the n grid points and m velocity points using the quadrature/Gauss-Hermite rules.)

	θ∈(0.1, 1)	θ∈(1, 10)	θ∈(10, ∞)	θ→∞
St≫1	(161, N96)	(161, N64)	(161, G28)	(161, G8)
St≈O(1)	(161, N96)	(81, N48)	(81, G28)	(81, G8)
St≪1	(161, N64)	(81, N48)	(81, G28)	(81, G8)

Fig.2 Temperature amplitude distribution of single gas as (Kn, θ)=(0.01, 59.88), (0.1, 5.305), (10, 0.040 1)

Fig.3 Temperature amplitude distribution of the He-Xe mixtures and single gas (a) Kn=8.9, θ=10; (b) Kn=0.89, θ=10;(c) Kn=0.089, θ=10; (d) Kn=8.9, θ=1; (e) Kn=0.89, θ=1; (f) Kn=0.089, θ=1; (g) Kn=8.9, θ=0.1;(h) Kn=0.89, θ=0.1; (i) Kn=0.089, θ=0.1

Fig.4 Temperature amplitude distribution of He and Xe components and the mixtures when Kn=0.089 and θ=0.1 (a) C0=0.1; (b) C0=0.5; (c) C0=0.9

Fig.5 yL of He-Xe mixture varying with Kn as C0=0.5 and θ=0.1

Fig.6 Heat flux amplitude distribution of the He-Xe mixture (a) Kn=8.9, θ=10;(b) Kn=0.89, θ=1; (c) Kn=0.089, θ=0.1

Fig.7 The thermal penetration depth of (a) Ne-Ar and (b)He-Xe mixtures and single gas as θ=0.1

Fig.8 The thermal penetration depth of He-Xe mixture for Kn=0.089 and Kn=0.177 as θ=0.1

Fig.9 The velocity amplitude of He-Xe mixture (a) Kn=8.9, θ=10; (b) Kn=0.89, θ=1; (c) Kn=0.089, θ=0.1

Fig.10 Distribution of velocity of the He-Xe mixture between plates at four moments as C0=0.5 (a) Kn=8.9, θ=10; (b) Kn=0.89, θ=1; (c) Kn=0.089, θ=0.1

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