The low Mach number multiphase flow for turbulent fluid mixing is discussed based on singular perturbation theory. In this paper, we focus on the asymptotics of the volume fractions for compressible multiphase flow equations as the Mach number vanishes. Formal expansions are studied for the compressible volume fractions uniformly in space and time by advanced matching.

zero Mach limit, volume fractions, multiphase flow, asymptotic analysis, singular perturbation.

Received: December 3, 2020; Accepted: December 27, 2020; Published: January 22, 2021

How to cite this article: Hyeonseong Jin, Asymptotics of the volume fractions for low Mach number multiphase flow equations, JP Journal of Heat and Mass Transfer 22(1) (2021), 107-122. DOI: 10.17654/HM022010107

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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