scholarly journals Transient Couette Flow of a Dusty Fluid between Parallel Porous Plates with the Ion slip Effect and Heat Transfer under Exponential Decaying Pressure Gradient

2015 ◽  
Vol 4 (8) ◽  
pp. 6815-6822
Author(s):  
Hazem Ali Attia, W. Abbas, A mira M. D. Salama
Keyword(s):  
Heat Transfer ◽  
Pressure Gradient ◽  
Couette Flow ◽  
Slip Effect ◽  
Dusty Fluid ◽  
Ion Slip

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

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 Three-dimensional Couette flow of a dusty fluid with heat transfer

2012 ◽  
Vol 36 (2) ◽  
pp. 683-701 ◽  
Author(s):  
B.J. Gireesha ◽  
A.J. Chamkha ◽  
C.S. Vishalakshi ◽  
C.S. Bagewadi
Keyword(s):  
Heat Transfer ◽  
Couette Flow ◽  
Three Dimensional ◽  
Dusty Fluid

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.

Effect of the ion slip on the MHD flow of a dusty fluid with heat transfer under exponential decaying pressure gradient

Open Physics ◽  
2005 ◽  
Vol 3 (4) ◽  
Author(s):  
Hazem Attia
Keyword(s):  
Heat Transfer ◽  
Pressure Gradient ◽  
Equations Of Motion ◽  
Mhd Flow ◽  
Dust Particles ◽  
Parallel Plates ◽  
Electrically Conducting ◽  
Ion Slip ◽  
Energy Equations ◽  
External Uniform Magnetic Field

AbstractIn the present study, the unsteady Hartmann flow with heat transfer of a dusty viscous incompressible electrically conducting fluid under the influence of an exponentially decreasing pressure gradient is studied without neglecting the ion slip. The parallel plates are assumed to be porous and subjected to a uniform suction from above and injection from below while the fluid is acted upon by an external uniform magnetic field applied perpendicular to the plates. The equations of motion are solved analytically to yield the velocity distributions for both the fluid and dust particles. The energy equations for both the fluid and dust particles including the viscous and Joule dissipation terms, are solved numerically using finite differences to get the temperature distributions.

scholarly journals Ion slip effect on unsteady Hartmann flow with heat transfer under exponential decaying pressure gradient

2006 ◽  
Vol 2006 ◽  
pp. 1-12
Author(s):  
Hazem A. Attia
Keyword(s):  
Heat Transfer ◽  
Pressure Gradient ◽  
Energy Equation ◽  
Viscous Incompressible Fluid ◽  
Fluid Motion ◽  
Electrically Conducting ◽  
Uniform Suction ◽  
Temperature Distributions ◽  
Ion Slip ◽  
External Uniform Magnetic Field

The unsteady Hartmann flow of an electrically conducting, viscous, incompressible fluid bounded by two parallel nonconducting porous plates is studied with heat transfer taking the ion slip into consideration. An external uniform magnetic field and a uniform suction and injection are applied perpendicular to the plates, while the fluid motion is subjected to an exponential decaying pressure gradient. The two plates are kept at different but constant temperatures while the Joule and viscous dissipations are included in the energy equation. The effect of the ion slip and the uniform suction and injection on both the velocity and temperature distributions is examined.

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