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Shear effects on scalar transport in double diffusive convection

Lookup NU author(s): Dr Francesco Zonta

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Abstract

Copyright © 2020 by ASME. In this article, we examine the effect of shear on scalar transport in double diffusive convection (DDC). DDC results from the competing action of a stably stratified, rapidly diffusing scalar (temperature) and an unstably stratified, slowly diffusing scalar (salinity), which is characterized by fingering instabilities. We investigate, for the first time, the effect of shear on the diffusive and convective contributions to the total scalar transport flux within a confined fluid layer, examining also the associated fingering dynamics and flow structure. We base our analysis on fully resolved numerical simulations under the Oberbeck–Boussinesq condition. The problem has five governing parameters: The salinity Prandtl number, Prs (momentum-to-salinity diffusivity ratio); the salinity Rayleigh number, Ras (measure of the fluid instability due to salinity differences); the Lewis number, Le (thermal-to-salinity diffusivity ratio); the density ratio, K (measure of the effective flow stratification), and the shear rate, C. Simulations are performed at fixed Prs, Ras, Le, and K, while the effect of shear is accounted for by considering different values of C. Preliminary results show that shear tends to damp the growth of fingering instability, leading to highly anisotropic DDC dynamics associated with the formation of regular salinity sheets. These dynamics result in significant modifications of the vertical transport rates, giving rise to negative diffusive fluxes of salinity and significant reduction of the total scalar transport, particularly of its convective part.


Publication metadata

Author(s): Sichani PH, Marchioli C, Zonta F, Soldati A

Publication type: Article

Publication status: Published

Journal: Journal of Fluids Engineering

Year: 2020

Volume: 142

Issue: 12

Print publication date: 01/12/2020

Online publication date: 29/10/2020

Acceptance date: 16/03/2020

ISSN (print): 0098-2202

ISSN (electronic): 1528-901X

Publisher: American Society of Mechanical Engineers (ASME)

URL: https://doi.org/10.1115/1.4048342

DOI: 10.1115/1.4048342


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