TY - JOUR

T1 - Direct numerical simulation of oscillatory Marangoni convection in cylindrical liquid bridges

AU - Zeng, Z.

AU - Mizuseki, H.

AU - Higashino, K.

AU - Kawazoe, Y.

N1 - Funding Information:
This work is financially supported by Ishikawajima-Harima Heavy Industries Co., Ltd. (IHI). The authors are thankful to the crew of the Information Science Group, Institute for Materials Research for the continuous support of the computer environment.

PY - 1999/7

Y1 - 1999/7

N2 - A three-dimensional oscillatory Marangoni (thermocapillary) convection with Prandtl number Pr = 16.0849 and Marangoni number Ma = 3.30508×104 in a large aspect ratio (As = H/R) range, As = 0.2-4, in a silicone oil liquid bridge with a non-deformable cylindrical surface is investigated by the finite volume method. The azimuthal wave numbers 1, 2, 3, 4, 5, 6, 10 and 16 are obtained for different aspect ratios, As. The dimensionless main frequency f*p = fMa-1/2H2/κ of periodic or quasi-periodic temperature oscillations strongly depends on aspect ratio, As. f*p increases with the increment of As with approximately a bi-linear relation, and its gradient for As = 0.2-1 is less than that for As>1. The periodic and quasi-periodic oscillations are found to depend on aspect ratio, As, for fixed Pr and Ma.

AB - A three-dimensional oscillatory Marangoni (thermocapillary) convection with Prandtl number Pr = 16.0849 and Marangoni number Ma = 3.30508×104 in a large aspect ratio (As = H/R) range, As = 0.2-4, in a silicone oil liquid bridge with a non-deformable cylindrical surface is investigated by the finite volume method. The azimuthal wave numbers 1, 2, 3, 4, 5, 6, 10 and 16 are obtained for different aspect ratios, As. The dimensionless main frequency f*p = fMa-1/2H2/κ of periodic or quasi-periodic temperature oscillations strongly depends on aspect ratio, As. f*p increases with the increment of As with approximately a bi-linear relation, and its gradient for As = 0.2-1 is less than that for As>1. The periodic and quasi-periodic oscillations are found to depend on aspect ratio, As, for fixed Pr and Ma.

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U2 - 10.1016/S0022-0248(99)00207-9

DO - 10.1016/S0022-0248(99)00207-9

M3 - Article

AN - SCOPUS:0033516415

SN - 0022-0248

VL - 204

SP - 395

EP - 404

JO - Journal of Crystal Growth

JF - Journal of Crystal Growth

IS - 3

ER -