A diffuse interface lattice Boltzmann model for thermocapillary flows with large density ratio and thermophysical parameters contrasts
A diffuse interface lattice Boltzmann model for thermocapillary flows with large density ratio and thermophysical parameters contrasts
复制标题
大密度比热毛细流扩散界面晶格玻尔兹曼模型及热物理参数对比
DOI：
10.1016/j.ijheatmasstransfer.2019.04.104
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发表时间：
2019-08
影响因子：
5.2
通讯作者：
Shi Shu
中科院分区：
文献类型：
--
作者：
Yang Hu;Decai Li;Xiaodong Niu;Shi Shu
本文建立了一个适用于大密度比和热物性参数差的热毛细流动的扩散界面格子Boltzmann模型。该模型采用三种分布函数来描述相场、速度场和温度场的演化。基于Allen-Cahn的守恒型Lattce Boltzmann方程在模拟高密度比下的多相流时具有良好的数值稳定性，该方程用于捕捉相界面。基于速度的格子Boltzmann方程被用来捕捉热毛细效应的流体动力学。特别地，基于扩散界面的概念，提出了一种求解温度场方程的格子Boltzmann格式，其中源项是局部计算的。与以往热毛细流动的格子玻尔兹曼模型不同，允许两种流体的热物理参数（热容和热导率）不同。通过数值算例验证了模型的有效性。数值结果表明，所提出的扩散界面格子Boltzmann模型在模拟大密度比（高达1000）和热物性参数对比的热毛细流动时是可靠的。此外，我们还推导了热毛细驱动流动的非定常解的加热微通道与两个重叠的平面流体，可以用来评估数值算法的数值精度热毛细流动。
A diffuse interface lattice Boltzmann model for thermocapillary flows with large density ratio and thermophysical parameters contrasts is developed in this paper. In this model, three distribution functions are used to describe the evolution of phase field, velocity field and temperature field. The conservative Allen-Cahn-based lattce Boltzmann equation which has good numerical stability in simulating multiphase flows at high density ratio is employed to capture the phase interface. The velocity-based lattice Boltzmann equation is utilized to capture the hydrodynamics with thermocapillary effect. In particular, a lattice Boltzmann scheme is proposed to solve the temperature field equation based on the diffuse interface concept, in which the source term is computed locally. Unlike previous lattice Boltzmann model for thermocapillary flows, the thermophysical parameters (heat capacitance and thermal conductivity) of two fluids are allowed to be different. The present model is validated by simulating several numerical examples. Numerical results indicate the reliability of proposed diffuse interface lattice Boltzmann model in simulating thermocapillary flows with large density ratio (up to 1000) and thermophysical parameters contrasts. Moreover, we also derive an unsteady solution for thermocapillary-driven flow in a heated microchannel with two superimposed planar fluids, which can be used to assess the numerical accuracy of numerical algorithm for thermocapillary flows.
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影响因子：
4.1
作者：
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通讯作者：
S. O. Unverdi;G. Tryggvason
DOI：
10.1103/physreve.89.043308
发表时间：
2014-04
期刊：
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子：
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DOI：
10.1016/j.jcp.2010.07.007
发表时间：
2010-10
期刊：
J. Comput. Phys.
影响因子：
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通讯作者：
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DOI：
10.1016/j.ijheatfluidflow.2016.09.015
发表时间：
2016-12
影响因子：
2.6
作者：
N. Balcázar;J. Rigola;J. Castro;A. Oliva
通讯作者：
N. Balcázar;J. Rigola;J. Castro;A. Oliva
影响因子：
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作者：
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