Numerical study of time-dependent flow of immiscible Saffman dusty (fluid-particle suspension) and Eringen micropolar fluids in a duct with a modified cubic B-spline Differential Quadrature method

Chandrawat, RC; Joshi, V; Beg, OA

Abstract

Immiscible flows arise in many diverse applications in mechanical, chemical, and environmental engineering.
Such flows involve interfacial conditions and often feature mass (species) diffusion. Motivated by applications in non-Newtonian duct processing, in the present article a comprehensive mathematical model and computational simulation
with the modified cubic B-spine-Differential Quadrature method (MCB-DQM) is described for the unsteady flow of two
immiscible fluids - dusty (fluid-particle suspension) and Eringen micropolar fluids - through horizontal channels. Mass
transfer is invoked due to particle concentration effects in the dusty fluid. The stable liquid-liquid interface is considered
between two immiscible fluids. Fluids are considered to flow under three different pressure gradients- constant, decaying,
and periodic pressure gradient and the flow characteristics are scrutinized for each case. The coupled partial differential
equations are solved with the MCB-DQM under physically realistic boundary conditions. Linear velocity, micro-rotation
(Eringen angular velocity) is visualized graphically for the effects of the key hydrodynamic and solutal parameters i. e.
Reynolds number, particle concentration parameter, Eringen micropolar material parameter, volume fraction parameter,
pressure gradient, time, viscosity ratio, and density ratio. The simulations extend the current understanding of two-fluid
interfacial duct hydrodynamics and mass transfer and are relevant to chemical engineering separation processing
systems.

Citation

Chandrawat, R., Joshi, V., & Beg, O. (2022). Numerical study of time-dependent flow of immiscible Saffman dusty (fluid-particle suspension) and Eringen micropolar fluids in a duct with a modified cubic B-spline Differential Quadrature method. International Communications in Heat and Mass Transfer, 130, 105758. https://doi.org/10.1016/j.icheatmasstransfer.2021.105758

• Journal Article Type: Article
• Acceptance Date: Nov 12, 2021
• Online Publication Date: Nov 27, 2021
• Publication Date: Jan 1, 2022
• Deposit Date: Nov 12, 2021
• Publicly Available Date: Nov 27, 2022
• Journal: International Communications in Heat and Mass Transfer
• Print ISSN: 0735-1933
• Publisher: Elsevier
• Volume: 130
• Pages: 105758
• DOI: https://doi.org/10.1016/j.icheatmasstransfer.2021.105758
• Publisher URL: https://doi.org/10.1016/j.icheatmasstransfer.2021.105758
• Related Public URLs: https://www.journals.elsevier.com/international-communications-in-heat-and-mass-transfer