scholarly journals 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

2021 ◽  
Vol 39 (4) ◽  
pp. 1180-1196
Author(s):  
Rajesh Kumar Chandrawat ◽  
Varun Joshi
Keyword(s):  
Heat Transfer ◽  
Couette Flow ◽  
Immiscible Fluids ◽  
Fluid Particle ◽  
Eckert Number ◽  
Particle Suspension ◽  
Dusty Fluid ◽  
Hall Parameter ◽  
Ion Slip ◽  
Fluid Particle Suspension

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.

scholarly journals 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

2021 ◽  
Vol 10 (3) ◽  
pp. 431-446
Author(s):  
Rajesh Kumar Chandrawat ◽  
Varun Joshi ◽  
O. Anwar Bég
Keyword(s):  
Heat Transfer ◽  
Couette Flow ◽  
Viscosity Ratio ◽  
Numerical Study ◽  
Fluid Velocity ◽  
Immiscible Fluids ◽  
Heat Conducting ◽  
Micropolar Fluids ◽  
Arterial Blood ◽  
Ion Slip

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.

Unsteady Boundary Layer Flow and Convective Heat Transfer of a Fluid Particle Suspension with Nanoparticles over a Stretching Surface

2017 ◽  
Vol 1 (2) ◽  
Author(s):  
B. C. Prasannakumara ◽  
B. J. Gireesha ◽  
M. R. Krishnamurthy ◽  
Rama Subba Reddy Gorla
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Fluid Particle ◽  
Dust Particles ◽  
Particle Suspension ◽  
Temperature Profiles ◽  
Stretching Surface ◽  
Layer Flow ◽  
Fluid Particle Suspension

AbstractWe analyzed the effects of Biot number and non-uniform heat source/sink on boundary layer flow and nonlinear radiative heat transfer of fluid particle suspension over an unsteady stretching surface embedded in a porous medium with nanoparticles. We considered conducting dust particles embedded with -water nanopartcles. The governing equations are transformed into nonlinear ordinary differential equations by using local similarity transformations and solved numerically using Runge–Kutta-Fehlberg-45 order method along with shooting technique. The effects of non-dimensional parameters on velocity and temperature profiles for fluid phase and dust phase are discussed and presented through graphs. Also, friction factor and Nusselt number are discussed and presented through graphs. Comparisons of the present study were made with existing studies under some special assumptions. The present results have an excellent agreement with existing studies. Results indicated that the enhancement in fluid particle interaction parameter increases the heat transfer rate and depreciates the wall friction. Also, radiation parameter has the tendency to increase the temperature profiles of the dusty nanofluid.

Effects of ion slip and Hall current on unsteady Couette flow of a dusty fluid through porous media with heat transfer

2015 ◽  
Vol 53 (6) ◽  
pp. 891-898 ◽  
Author(s):  
H. A. Attia ◽  
W. Abbas ◽  
A. El-Din Abdin ◽  
M. A. M. Abdeen
Keyword(s):  
Heat Transfer ◽  
Porous Media ◽  
Couette Flow ◽  
Hall Current ◽  
Dusty Fluid ◽  
Unsteady Couette Flow ◽  
Ion Slip

Boundary Layer Flow and Heat Transfer of fluid particle suspension with nanoparticles over a nonlinear stretching sheet embedded in a porous medium

2017 ◽  
Vol 6 (3) ◽  
Author(s):  
B.C. Prasannakumara ◽  
N.S. Shashikumar ◽  
P. Venkatesh
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Stretching Sheet ◽  
Fluid Particle ◽  
Dust Particles ◽  
Particle Suspension ◽  
Nonlinear Thermal Radiation ◽  
Flow And Heat Transfer ◽  
Nonlinear Stretching ◽  
Fluid Particle Suspension

AbstractAn analysis has been carried out to study the effect of nonlinear thermal radiation on slip flow and heat transfer of fluid particle suspension with nanoparticles over a nonlinear stretching sheet immersed in a porous medium. Water is considered as a base fluid with dust particles along with suspended Aluminum Oxide (Al

scholarly journals Three-Dimensional Boundary layer Flow and Heat Transfer of a Fluid Particle Suspension over a Stretching Sheet Embedded in a Porous Medium

2019 ◽  
Vol 8 (1) ◽  
pp. 734-743 ◽  
Author(s):  
H.B. Mallikarjuna ◽  
M.C. Jayaprakash ◽  
Raghavendra Mishra
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Stretching Sheet ◽  
Three Dimensional ◽  
Fluid Particle ◽  
Particle Suspension ◽  
Nonlinear Thermal Radiation ◽  
Convective Boundary ◽  
Flow And Heat Transfer ◽  
Fluid Particle Suspension

Abstract This article presents the effect of nonlinear thermal radiation on three dimensional flow and heat transfer of fluid particle suspension over a stretching sheet. The combined effects of non-uniform source/sink and convective boundary condition are taken into consideration. The governing partial differential equations are transformed into ordinary differential equations using similarity variables, which are then solved numerically by using Runge Kutta Fehlberg-45 method with shooting technique. The influence of various parameters on velocity and temperature profiles are illustrated graphically, and discussed in detail. The results indicate that the fluid phase velocity is greater than that of the particle phase for various existing parameters.

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