Numerical simulation of pressure-driven displacement of a viscoplastic material by a Newtonian fluid using the lattice Boltzmann method

Swain, P A P and Karapetsas, G and Matar, O K and Sahu, K C (2015) Numerical simulation of pressure-driven displacement of a viscoplastic material by a Newtonian fluid using the lattice Boltzmann method. European Journal of Mechanics, B/Fluids, 49 (Part A). pp. 197-207. ISSN 0997-7546

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Abstract

The pressure-driven displacement of a non-Newtonian fluid by a Newtonian fluid in a two-dimensional channel is investigated via a multiphase lattice Boltzmann method using a non-ideal gas equation of state well-suited for two incompressible fluids. The code has been validated by comparing the results obtained using different regularized models, proposed in the literature, to model the viscoplasticity of the displaced material. Then, the effects of the Bingham number, which characterizes the behaviour of the yield-stress of the fluid and the flow index, which reflects the shear-thinning/thickening tendency of the fluid, are studied. It was found that increasing the Bingham number and increasing the flow index increases the size of the unyielded region of the fluid in the downstream portion of the channel and increases the thickness of the residual layer of the fluid resident initially in the channel; the latter is left behind on the channel walls by the propagating 'finger' of the displacing fluid. This, in turn, reduces the growth rate of interfacial instabilities and the speed of finger propagation.

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IITH Creators:
IITH CreatorsORCiD
Sahu, K Chttp://orcid.org/0000-0002-7357-1141
Item Type: Article
Additional Information: We also acknowledge Prof. Pratap Vanka (University of Illinois at Urbana-Champaign, USA) for the collaboration during the code development.
Uncontrolled Keywords: Multiphase flow; Non-Newtonian fluids; Lattice Boltzmann simulation; Immiscible fluids; Instability; Laminar flow
Subjects: Chemical Engineering > Biochemical Engineering
Divisions: Department of Chemical Engineering
Depositing User: Team Library
Date Deposited: 18 Nov 2014 08:47
Last Modified: 10 Jul 2017 11:55
URI: http://raiith.iith.ac.in/id/eprint/851
Publisher URL: https://doi.org/10.1016/j.euromechflu.2014.08.010
OA policy: http://www.sherpa.ac.uk/romeo/issn/0997-7546/
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