Development and application of a high density ratio pseudopotential based two-phase LBM solver to study cavitating bubble dynamics in pressure driven channel flow at low Reynolds number

Saritha, G and Banerjee, Raja (2019) Development and application of a high density ratio pseudopotential based two-phase LBM solver to study cavitating bubble dynamics in pressure driven channel flow at low Reynolds number. European Journal of Mechanics, B/Fluids, 75. pp. 83-96. ISSN 0997-7546

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Abstract

A pseudo-potential based single component multiphase Lattice Boltzmann flow solver was developed. Peng–Robinson equation of state was coupled with Exact Difference Method to incorporate interaction forces. This solver was developed for a D2Q9 lattice structure. The solver was thoroughly validated against several canonical problems like estimation of coexistence curve, surface tension estimation from Laplace Law and growth of a cavitating bubble in quiescent flow. The solver was found to be numerically stable for density ratios up to 103. The solver was then used to simulate bubble dynamics for cavitating flows in different flow configurations. Fluid flow characteristics of a single cavitating bubble for Poiseuille flow with stationary and non-stationary walls at Reynolds number of 1 and 10 were investigated. Temporal evolution of the bubble when it is placed along the channel centreline and at an offset is presented here.

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