Thermodynamic Analysis for the MHD Flow of Two Immiscible Micropolar Fluids Between Two Parallel Plates

Jangili, Srinivas; Murthy, J. V. Ramana

doi:10.5098/hmt.6.4

Cited by 16 publications

(23 citation statements)

References 33 publications

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“…Comprehensive reviews of micropolar hydrodynamics and applications can be found in the articles of Ariman et al [3,4] and the book by Lukaszewicz [5]. Micropolar fluids have been studied in many contexts including tribology [6], microbial nano-fuel cells [7], micromachining processes [8], hemodynamics [9] and energy system thermodynamic optimization [10].…”

Section: U Sir Is a DI Git Al C Oll E C Tio N Of T H E R E S E A R C mentioning

confidence: 99%

Rotating Unsteady Multi-Physico-Chemical Magneto-Micropolar Transport in Porous Media: Galerkin Finite Element Study

Bég

Shamshuddin

Reddy

et al. 2018

Comput Thermal Scien

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In this paper, a mathematical model is developed for magnetohydrodynamic (MHD), incompressible, dissipative and chemically reacting micropolar fluid flow, heat and mass transfer through a porous medium from a vertical plate with Hall current, Soret and Dufour effects. The entire system rotates with uniform angular velocity about an axis normal to the plate. Rosseland's diffusion approximation is used to describe the radiative heat flux in the energy equation. The governing partial differential equations for momentum, heat, angular momentum and species conservation are transformed into dimensionless form under the assumption of low Reynolds number with appropriate dimensionless quantities. The emerging boundary value problem is then solved numerically with a Galerkin finite element method employing the weighted residual approach. The evolution of translational velocity, micro-rotation (angular velocity), temperature and concentration are studied in detail. The influence of many multi-physical parameters in these variables is illustrated graphically. Finally, the friction factor, surface heat transfer and mass transfer rate dependency on the emerging thermo-physical parameters are also tabulated. The finite element code is benchmarked with the results reported in the literature to check the validity and accuracy under some limiting cases and an excellent agreement with published solutions is achieved. The study is relevant to rotating MHD energy generators utilizing non-Newtonian working fluids and also magnetic rheo-dynamic materials processing systems.

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Section: U Sir Is a DI Git Al C Oll E C Tio N Of T H E R E S E A R C mentioning

confidence: 99%

Rotating Unsteady Multi-Physico-Chemical Magneto-Micropolar Transport in Porous Media: Galerkin Finite Element Study

Bég

Shamshuddin

Reddy

et al. 2018

Comput Thermal Scien

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“…Devakar et al [23,24] found the effect of various fluid parameter which are present only in one of the immiscible fluids but also affects the velocity, temperatures of other. Srinivas and Murthy [25][26][27] reviewed the two immiscible fluid flow in various schemes of different shapes. Umavathi et al [28][29][30] have been done a further study on the flow of immiscible fluids between parallel sheets for Newtonian and non-Newtonian fluids.…”

Section: Introductionmentioning

confidence: 99%

Numerical Study of Ion-Slip and Hall Effect on Couette Flow of Two Immiscible Micropolar and Micropolar Dusty Fluid (Fluid-Particle Suspension) with Heat Transfer

Chandrawat¹,

Joshi²

2021

IJHT

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In this paper, the unsteady magnetohydrodynamic (MHD) Couette flow of two non-Newtonian immiscible fluids micropolar and micropolar dusty (fluid-particle suspension) are considered in the horizontal channel with heat transfer. A comprehensive mathematical model and computational simulation with the modified cubic B-Spline-Differential Quadrature method (MCB-DQM) is described for unsteady flow. The coupled partial differential equation for fluid and particle-phase are formulated and the effect of viscous dissipation, Joule heating, Hall current, and other hydrodynamic and solutal parameters i. e. Reynolds number, Eckert number, particle concentration parameter, Eringen micropolar material parameter, time, viscosity ratio, and density ratio on the flow rate, micro rotation, and temperature characteristics were investigated. The analysis of obtained results reveals that the fluids and particle velocities are slightly decreasing with Hartmann number, and increasing with time, ion-slip, and Hall parameters. Microrotation declined with Microrotations dropped significantly with ion-slip and Hall parameter and grown Hartman number. The temperature begins to rise as time, Hartman number, and Eckert number grow and declined with Ion-slip and Hall parameter.

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“…Devakar et al, 21 22 determined the effect of various fluid parameters featuring only in one immiscible fluid and also the resulting velocity and temperature distributions in the other immiscible fluid. Srinivas et al [23][24][25] explored the dynamics of dual immiscible fluid flows in various configurations and with multiple thermodynamics, magnetic and time-dependent effects. There is little more research on the movement of immiscible fluids between two plates for Newtonian and non-Newtonian fluids can be seen Umavathi et al [26][27][28] The theory of the magnetic characteristics and nature of electromagnetic conducting fluids are applicable in various scientific fields such as plasma confinement, molten metals, power generation, drug targeting, and microfluidics.…”

Section: Introductionmentioning

confidence: 99%

Ion Slip and Hall Effects on Generalized Time-Dependent Hydromagnetic Couette Flow of Immiscible Micropolar and Dusty Micropolar Fluids with Heat Transfer and Dissipation: A Numerical Study

Chandrawat

Joshi

Bég³

2021

j nanofluids

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The hydrodynamics of immiscible micropolar fluids are important in a variety of engineering problems, including biofluid dynamics of arterial blood flows, pharmacodynamics, Principle of Boundary layers, lubrication technology, short waves for heat-conducting fluids, sediment transportation, magnetohydrodynamics, multicomponent hydrodynamics, and electrohydrodynamic. Motivated by the development of biological fluid modeling and medical diagnosis instrumentation, this article examines the collective impacts of ion slip, viscous dissipation, Joule heating, and Hall current on unsteady generalized magnetohydrodynamic (MHD) Couette flow of two immiscible fluids. Two non-Newtonian incompressible magnetohydrodynamic micropolar and micropolar dusty (fluid-particle suspension) fluids are considered in a horizontal duct with heat transfer. No-slip boundary conditions are assumed at the channel walls and constant pressure gradient. Continuous shear stress and fluid velocity are considered across the interface between the two immiscible fluids. The coupled partial differential equations are formulated for fluids and particle phases and the velocities, temperatures, and microrotation profiles are obtained. Under the physically realistic boundary and interfacial conditions, the Modified cubic-Bspline differential quadrature approach (MCB-DQM) is deployed to obtain numerical results. The influence of the magnetic, thermal, and other pertinent parameters, i.e. Hartmann magnetic number, Eckert (dissipation) number, Reynolds number, Prandtl number, micropolar material parameters, Hall and ion-slip parameters, particle concentration parameter, viscosity ratio, density ratio, and time on velocity, microrotation, and temperature characteristics are illustrated through graphs. The MCB-DQM is found to be in good agreement with accuracy and the skin friction coefficient and Nusselt number are also explored. It is found that fluids and particle velocities are reduced with increasing Hartmann numbers whereas they are elevated with increment in ion-slip and Hall parameters. Temperatures are generally enhanced with increasing Eckert number and viscosity ratio. The simulations are relevant to nuclear heat transfer control, MHD energy generators, and electromagnetic multiphase systems in chemical engineering.

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Thermodynamic Analysis for the MHD Flow of Two Immiscible Micropolar Fluids Between Two Parallel Plates

Cited by 16 publications

References 33 publications

Rotating Unsteady Multi-Physico-Chemical Magneto-Micropolar Transport in Porous Media: Galerkin Finite Element Study

Rotating Unsteady Multi-Physico-Chemical Magneto-Micropolar Transport in Porous Media: Galerkin Finite Element Study

Numerical Study of Ion-Slip and Hall Effect on Couette Flow of Two Immiscible Micropolar and Micropolar Dusty Fluid (Fluid-Particle Suspension) with Heat Transfer

Ion Slip and Hall Effects on Generalized Time-Dependent Hydromagnetic Couette Flow of Immiscible Micropolar and Dusty Micropolar Fluids with Heat Transfer and Dissipation: A Numerical Study

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