Effects of Prandtl number on mixing process in miscible Rayleigh‐Taylor instability

Gaojie Liu (National Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan, People's Republic of China)
Zhaoli Guo (National Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan, People's Republic of China)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Publication date: 4 January 2013

Abstract

Purpose

The purpose of this paper is to investigate, numerically, the effects of the Prandtl number on the mixing process in two‐dimensional Rayleigh‐Taylor instability of incompressible and miscible fluids.

Design/methodology/approach

The simulations are carried out based on a double‐distribution‐function lattice Boltzmann method in which the Prandtl number can be adjusted.

Findings

The simulations reveal that the mixing‐zone grows inversely with increasing Prandtl number, but the processes of Rayleigh‐Taylor instability are nearly identical in terms of a dimensionless time as the Prandtl number ranges from 0.1 to 10. The symmetric property of the mixing‐zone is also studied, which is found to be closely dependent on the symmetry of the initial perturbations.

Originality/value

The results here show that the growth of the mixing‐zone is related to the Prandtl number, whereas most previous studies have been focused on the relationship between the growth of the mixing zone and time with a constant Prandtl number.

Keywords

Citation

Liu, G. and Guo, Z. (2013), "Effects of Prandtl number on mixing process in miscible Rayleigh‐Taylor instability", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 23 No. 1, pp. 176-188. https://doi.org/10.1108/09615531311289178

Download as .RIS

Publisher

:

Emerald Group Publishing Limited

Copyright © 2013, Emerald Group Publishing Limited

Please note you might not have access to this content

You may be able to access this content by login via Shibboleth, Open Athens or with your Emerald account.
If you would like to contact us about accessing this content, click the button and fill out the form.
To rent this content from Deepdyve, please click the button.