Volume 2, Issue 5
Lattice Boltzmann Method for Thermocapillary Flows

Lin Zheng, Zhaoli Guo, Baochang Shi & Chuguang Zheng

Adv. Appl. Math. Mech., 2 (2010), pp. 677-684.

Published online: 2010-02

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  • Abstract

In this paper, we apply a recently proposed thermal axisymmetric lattice Boltzmann model to the thermocapillary driven flow in a cylindrical container. The temperature profiles and isothermal lines at the free surface with Prandtl (Pr) number fixed at 0.01 and Marangoni (Ma) number varying from 10 to 500 are measured and compared with the previous numerical results. In addition, we also give the numerical results for different Ma numbers at Pr=1.0. It is shown that present results greed well with those reported in previous studies.

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@Article{AAMM-2-677, author = {Lin Zheng, Zhaoli Guo, Baochang Shi and Chuguang Zheng}, title = {Lattice Boltzmann Method for Thermocapillary Flows}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2010}, volume = {2}, number = {5}, pages = {677--684}, abstract = {

In this paper, we apply a recently proposed thermal axisymmetric lattice Boltzmann model to the thermocapillary driven flow in a cylindrical container. The temperature profiles and isothermal lines at the free surface with Prandtl (Pr) number fixed at 0.01 and Marangoni (Ma) number varying from 10 to 500 are measured and compared with the previous numerical results. In addition, we also give the numerical results for different Ma numbers at Pr=1.0. It is shown that present results greed well with those reported in previous studies.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.10-10S10}, url = {http://global-sci.org/intro/article_detail/aamm/8354.html} }
TY - JOUR T1 - Lattice Boltzmann Method for Thermocapillary Flows AU - Lin Zheng, Zhaoli Guo, Baochang Shi & Chuguang Zheng JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 677 EP - 684 PY - 2010 DA - 2010/02 SN - 2 DO - http://doi.org/10.4208/aamm.10-10S10 UR - https://global-sci.org/intro/article_detail/aamm/8354.html KW - AB -

In this paper, we apply a recently proposed thermal axisymmetric lattice Boltzmann model to the thermocapillary driven flow in a cylindrical container. The temperature profiles and isothermal lines at the free surface with Prandtl (Pr) number fixed at 0.01 and Marangoni (Ma) number varying from 10 to 500 are measured and compared with the previous numerical results. In addition, we also give the numerical results for different Ma numbers at Pr=1.0. It is shown that present results greed well with those reported in previous studies.

Lin Zheng, Zhaoli Guo, Baochang Shi & Chuguang Zheng. (1970). Lattice Boltzmann Method for Thermocapillary Flows. Advances in Applied Mathematics and Mechanics. 2 (5). 677-684. doi:10.4208/aamm.10-10S10
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