A study on the unsteady flow of two immiscible micropolar and Newtonian fluids through a horizontal channel: A numerical approach

Devakar, M.; Raje, Ankush

doi:10.1140/epjp/i2018-12011-5

Cited by 20 publications

(9 citation statements)

References 32 publications

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“…The fluid velocities and shear stress are both continuous at the liquid-liquid interface [45], [57], [58] These constraints can be expressed mathematically as follows.…”

Section: Region -Iimentioning

confidence: 99%

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

Joshi

Bég

2022

International Communications in Heat and Mass Transfer

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“…The fluid velocities and shear stress are both continuous at the liquid-liquid interface [45], [57], [58] These constraints can be expressed mathematically as follows.…”

Section: Region -Iimentioning

confidence: 99%

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

Joshi

Bég

2022

International Communications in Heat and Mass Transfer

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“…Thermo molded (heat and mass transfer) in immiscible viscous liquid channel flow was explored by Umavathi et al 47 A variety of linear and nonlinear fluid flow problems can be numerically solved using finite difference, finite element, and finite volume techniques. Devakar and Raje 48 numerically explored the time-dependent unsteady flow of two immiscible fluids by the Crank-Nicolson finite difference method. To achieve an acceptable degree of accuracy, the low-order approaches do use several grid points to obtain specific outcomes at such defined points.…”

Section: Articlementioning

confidence: 99%

Numerical Study of Interface Tracking for the Unsteady Flow of Two Immiscible Micropolar and Newtonian Fluids Through a Horizontal Channel with an Unstable Interface

2021

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The dynamics of the interaction between immiscible fluids is relevant to numerous complex flows in nature and industry, including lubrication and coating processes, oil extraction, physicochemical separation techniques, etc. One of the most essential components of immiscible flow is the fluid interface, which must be consistently monitored. In this article, the unsteady flow of two immiscible fluids i.e., an Eringen micropolar and Newtonian liquid is considered in a horizontal channel. Despite the no-slip and hyper-stick shear stress condition at the channel edge, it is accepted that the liquid interface is dynamic, migrating from one position to the next and possibly get absolute change; as a result, The CS (continuum surface) model is integrated with the single moment equation based on the VOF (volume of fluid) approach to trace the interface. The immiscible fluids are considered to flow under three applied pressure gradients (constant, decaying, and periodic) and flow is analyzed under seamless shear stress over the entire interface. The modified cubic b-spline differential quadrature method (MCB-DQM) is used to solve the modeled coupled partial differential equations for the fluid interface evolution. The advection and tracking of the interface with time, wave number, and amplitude are illustrated through graphs. It is observed that the presence of micropolar parameters affects the interface with time. The novelty of the current study is that previous studies (which considered the smooth and unstable movement of the micropolar fluid, the steady stream of two immiscible fluids, and interface monitoring through different modes) are extended and generalized to consider the time-dependent flow of two immiscible fluids namely Eringen micropolar and Newtonian with a moving interface in a horizontal channel. For the decaying pressure gradient case, which requires more time to achieve the steady-state, the peak of the waves resembles those for the constant pressure gradient case. The interface becomes steady for a more extensive time when a constant pressure gradient is applied. The interface becomes stable quickly with time as the micropolar parameter is decreased for the constant pressure gradient case i.e., weaker micropolar fluids encourage faster stabilization of the interface. With periodic pressure gradient, the interface takes more time to stabilize, and the crest of the waves is significantly higher in amplitude compared to the constant and decaying pressure cases. The simulations demonstrate the excellent ability of MCB-DQM to analyze complex interfacial immiscible flows.

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“…Devakar et al. [26–28] have emphasised the motion of non‐miscible unsteady Newtonian and micropolar fluid in a channel. They used Crank–Nicolson method to find the solution.…”

Section: Introductionmentioning

confidence: 99%

Analysis of two non‐miscible electrically conducting micropolar fluid flow through an inclined porous channel: Influence of magnetic field

Yadav

Verma

2022

Z Angew Math Mech

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Funding information Ministry of Human Resource DevelopmentThis work aims to analyse the flow of immiscible micropolar fluid through an inclined porous channel in presence of uniform magnetic field. The flow model have divided in two different porous regions and permeability of each porous region is taken different. The two immiscible electrically conducting micropolar fluids which have different densities and viscosities, take place through these two porous regions. The flow in an inclined porous channel is caused by a constant pressure gradient which acts on entrance section of flow domain. The flow of the micropolar fluids in the respective regions is governed by Brinkman's equation.The governing flow equations of the proposed model are solved analytically by reliable techniques and exact solution of flow field, flow rate and wall shear stress is evaluated by using well-known boundary conditions. In this work, authors examined the influence of existing parameters such as permeability parameters, Hartmann number, gravitational parameter, viscosity ratio and so forth, which describes the physical significance of the presented model, on velocity profile, flow rate and wall shear stresses and these effect presented by graphs. The results are validated with the findings of past published article.

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A study on the unsteady flow of two immiscible micropolar and Newtonian fluids through a horizontal channel: A numerical approach

Cited by 20 publications

References 32 publications

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

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

Numerical Study of Interface Tracking for the Unsteady Flow of Two Immiscible Micropolar and Newtonian Fluids Through a Horizontal Channel with an Unstable Interface

Analysis of two non‐miscible electrically conducting micropolar fluid flow through an inclined porous channel: Influence of magnetic field

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