Unsteady conjugate mass and heat transfer from/to a prolate spheroidal droplet in uniaxial extensional creeping flow. (May 2019)

• Record Type: Journal Article
• Authors: Liu, Anjun; Chen, Jie; Wang, Zhenzhen; Mao, Zai-Sha; Yang, Chao
• Is Part Of: International journal of heat and mass transfer. Volume 134(2019)
• Page Start: 1180
• Page End: 1190
• Publication Date: 2019-05
• Subjects: Conjugate mass/heat transfer -- Uniaxial extensional flow -- Prolate droplet -- Simulation -- Correlation; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; Chaleur -- Transmission -- Périodiques; Transfert de masse -- Périodiques; Electronic journals; 621.4022
• DOI: 10.1016/j.ijheatmasstransfer.2019.02.055
• Languages: English
• ISSNs: 0017-9310

Abstract

Highlights: The range of Ca and λ about the theoretical flow field of a single droplet in extensional flow is evaluated. The different of conjugate mass transfer rate between a prolate droplet and a spherical one varies with Pe . The effect of λ, K and m on mass transfer rate has been studied. An empirical correlation for a prolate droplet in extensional flow has high accuracy. Abstract: The unsteady conjugate mass/heat transfer from/to a prolate droplet suspended in uniaxial extensional creeping flow was numerically investigated. Based on the Stokes velocity field of a prolate droplet at small Reynolds numbers, a numerical algorithm combined with the finite difference method, the concentration transformation method and the level set approach was adopted to solve the convection-diffusion transport equations. The effects of Peclet number (1 ≤ Pe ≤ 1000), capillary number (0 ≤ Ca ≤ 0.1), viscosity ratio (0.01 ≤ λ ≤ 1), diffusivity ratio (0.1 ≤ K ≤ 10) and distribution coefficient (0.1 ≤ m ≤ 10) on interphase transport process were examined in terms of numerical simulation. The results show that the conjugate mass transfer from/to a single prolate droplet in the uniaxial extensional flow is significantly influenced by these five parameters, and the local and total mass transfer rates of a deformable droplet are slightly different from that of a spherical one. Given Pe, Ca, λ, K and m, an empirical correlation with an average relative deviation of 12.01% was proposed to predict Sh 1, ∞ of the prolate and spherical droplets suspended in uniaxial extensional creeping flow.