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Unsteady conjugate mass transfer of a 2D deformable droplet in a modest extensional flow in across‐slot
Author(s) -
Liu Anjun,
Chen Jie,
Wang Zhenzhen,
Wang Jingtao,
Mao ZaiSha,
Yang Chao
Publication year - 2020
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.23645
Subject(s) - péclet number , mass transfer , mechanics , mass diffusivity , sherwood number , mass transfer coefficient , thermodynamics , schmidt number , thermal diffusivity , flow (mathematics) , interphase , materials science , physics , convection , turbulence , nusselt number , genetics , reynolds number , biology , prandtl number
This work aims to investigate the unsteady conjugate interphase mass transfer between a stationary deformed drop and the modest extensional flow in a cross‐intersected 2D channel. It is very difficult to accurately quantify the transient mass transfer rate of solute in such a geometry. Therefore, we established a mathematical model on the basic of the Stokes equation and solved it by the boundary element method, which could deal precisely with a two‐phase flow system with a deformable interface; meanwhile, the convection‐diffusion equation was solved by the finite difference method to calculate the unsteady conjugate interphase mass transfer. The simulation results showed that the mass transfer rate, analyzed and characterized in terms of mean concentration variation and Sherwood number Sh , was affected by capillary number Ca , Peclet number Pe , viscosity ratio λ , interior‐to‐exterior diffusivity ratio K , distribution coefficient m , and wall effect factor W .