A study of pressure-driven displacement flow of two immiscible liquids using a multiphase lattice Boltzmann approach

Redapangu, P R and Sahu, K C and Vanka, S P (2012) A study of pressure-driven displacement flow of two immiscible liquids using a multiphase lattice Boltzmann approach. Physics of Fluids, 24 (10). pp. 102110-1. ISSN 1070-6631

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Abstract

The pressure-driven displacement of two immiscible fluids in an inclined channel in the presence of viscosity and density gradients is investigated using a multiphase lattice Boltzmann approach. The effects of viscosity ratio, Atwood number, Froude number, capillary number, and channel inclination are investigated through flow structures, front velocities, and fluid displacement rates. Our results indicate that increasing viscosity ratio between the fluids decreases the displacement rate. We observe that increasing the viscosity ratio has a non-monotonic effect on the velocity of the leading front; however, the velocity of the trailing edge decreases with increasing the viscosity ratio. The displacement rate of the thin-layers formed at the later times of the displacement process increases with increasing the angle of inclination because of the increase in the intensity of the interfacial instabilities. Our results also predict the front velocity of the lock-exchange flow of two immiscible fluids in the exchange flow dominated regime. A linear stability analysis has also been conducted in a three-layer system, and the results are consistent with those obtained by our lattice Boltzmann simulations.

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IITH Creators:
IITH CreatorsORCiD
Sahu, K Chttp://orcid.org/0000-0002-7357-1141
Item Type: Article
Additional Information: The authors thank Dr. Aaron Shinn for assistance in the GPU implementation of the code
Subjects: Chemical Engineering > Biochemical Engineering
Divisions: Department of Chemical Engineering
Depositing User: Mr. Siva Shankar K
Date Deposited: 19 Sep 2014 05:53
Last Modified: 11 Jul 2017 03:45
URI: http://raiith.iith.ac.in/id/eprint/16
Publisher URL: https://doi.org/10.1063/1.4760257
OA policy: http://www.sherpa.ac.uk/romeo/issn/1070-6631/
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