Effects of particle clusters on fluctuation coupling terms in dilute gas-particle turbulent flows

Heng FENG  Qinghai LI  Aihong MENG  Yanguo ZHANG  Bo KONG

doi:10.12034/j.issn.1009-606X.218230

The Chinese Journal of Process Engineering >

2019 , Vol. 19 >Issue 2: 279 - 288

DOI: https://doi.org/10.12034/j.issn.1009-606X.218230

Flow & Transfer

Effects of particle clusters on fluctuation coupling terms in dilute gas-particle turbulent flows

Heng FENG Qinghai LI Aihong MENG Yanguo ZHANG Bo KONG

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1. Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Beijing Key Laboratory for CO2 Utilization and Reduction Technology, Tsinghua University?University of Waterloo Joint Research Center for Micro/Nano Energy & Environment Technology, Department of Energy and Power Engineering, Tsinghua University, Beijing 100084, China 2. Ames Laboratory-USDOE, Ames, IA 50011-2230, USA

Received date: 2018-06-25

Revised date: 2018-08-29

Online published: 2019-04-18

Supported by

Projects (U1302274) supported by the National Science Foundation of China

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Abstract

The effect of particle clusters on gas?solids fluctuation coupling terms in Reynolds stresses transport equations was investigated in this work. Based on its transport equation, covariance of solids phase volume fraction and gas phase fluctuating velocity, namely drift velocity was closured by an algebraic model, which was a function of both degree of segregation and mean slip velocity. Thereby two different kinetic-based Euler?Euler mesoscale methods were applied to simulate a dilute gas?particle flow in a triple periodic domain where solids phase averaged volume fraction was 1%. Stokes drag law was applied for inter-phase momentum transfer. Inter-particle collisions were approximated by Bhatnagar?Gross?Krook model. Mesh resolution in this study was as 1.75 times as particle diameter dp. The difference between these two approaches was the way to solve solids phase kinetic equation. The first approach was an Anisotropic Gaussian (AG) Quadrature based moment method of which particle phase velocity density function f was assumed to follow a multivariate anisotropic Gaussian. The second approach was a typical two-fluid model (TFM) of which assumed f to follow isotropic distribution. To validate these two methods, results were compared with results given by a Euler?Lagrange (E?L) method in the literature. It demonstrated that AG method was able to produce better comparable results than TFM. For instance, the flow field properties given by AG method were closer to results given by E?L method, including mean slip velocity, gas and solids phase turbulent kinetic energy. Results showed that the integral scale of particle clusters was smaller than that of gas-phase fluctuation velocities. And the integral scale of both particle clusters and gas-phase fluctuation velocities turned out to be anisotropic that vertical components were larger than lateral components. The falling of particle clusters was mainly suppressed by form drag (i.e. gas pressure between front and tail). In the end, the coefficients of both gas?solids fluctuation velocity covariance and drift velocity were identified.

Key words： two-phase flow; numerical simulation; kinetic theory; particle cluster; fluctuation coupling term

Cite this article

Heng FENG Qinghai LI Aihong MENG Yanguo ZHANG Bo KONG . Effects of particle clusters on fluctuation coupling terms in dilute gas-particle turbulent flows[J]. The Chinese Journal of Process Engineering, 2019 , 19(2) : 279 -288 . DOI: 10.12034/j.issn.1009-606X.218230

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