MHD Couette Flow Research Articles

A study on MHD Couette flow in a duct filled with porous materials at the thermal entrance and local thermal non-equilibrium effects

A study on MHD Couette flow in a duct filled with porous materials at the thermal entrance and local thermal non-equilibrium effects

The Effect of Wall'S Porous Liner on MHD Couette Flow of Carreau Fluid in an Inclined Channel under the Convective Conditions

The Effect of Wall'S Porous Liner on MHD Couette Flow of Carreau Fluid in an Inclined Channel under the Convective Conditions

MHD Couette Flow of Viscoelastic Fluid Between Upright Permeable Plates with Energy Dissipation

This study investigates the unsteady, magnetohydrodynamic, incompressible, Couette flow of viscoelastic fluid through equidistant upright plates in the presence of permeable media, continuous heat fluxes, heat source, and energy dissipation. The flow is restricted by the flow between two equidistant upright plates, one moving and the other at rest, and the formation of free convection due to a fixed wall at a time-dependent temperature, while heat flow is constant on the wall moving upwards in its plane. The problem is solved analytically, and the expression for velocity and temperature are derived. The effect of numerous physical parameters on the flow is discussed. The local skin friction is also represented graphically, and the Nusselt number is given in the table.

TIME DEPENDENT PRESSURE GRADIENT EFFECTS ON UNSTEADY MHD COUETTE FLOW THROUGH A PARALLEL POROUS PLATE

In this paper, the unsteady MHD Couette flow through a porous medium of a viscous incompressible fluid bounded by two parallel porous plates under the influence of thermal radiation and chemical reaction is investigated. A uniform suction and injection are applied perpendicular to the plates while the fluid motion is subjected to time dependent pressure gradient. The transformed conservation equations are solved analytically subject to physically appropriate boundary conditions by using perturbation and Eigenfunction expansion techniques. The effects of some non-dimensional parameters are graphically represented and interpreted. It is observed that primary velocity is maximum when pressure gradient is time dependent as compared to when it is independent on time. Also, increase in temperature dependent pressure gradient leads to oscillation in primary velocity along distance y.

MHD Couette flow and heat transfer in a rotating channel in presence of viscous dissipation and heat source/sink

The fully developed steady flow of an electrically conducting as well as heat-generating/absorbing fluid, in a horizontal rotating channel in the presence of viscous dissipation, has been studied. Further, the flow is subjected to shearing impact due to the motion of the upper plate. The effects of various parameters characterizing the translating and rotating flow and heat transfer phenomena, based on analytical solutions, are depicted with the help of graphs and tables. The solution of the boundary value problem has been carried out analytically and computations thereof with MATLAB code. The outcomes of the present study find applications in the motion of the rotor blade and turbine. The important findings are: the moderate speed of rotation gives rise to inconsistency in heat transfer, a transition state between low and moderately high speed, hence speed of the channel is to be taken care of for smooth and consistent heat transfer; the effect of entire values of Eckert number persists on the temperature distribution; the higher magnetic field intensity gives rise to convex type of temperature field (rise in temperature) resulting thicker thermal boundary layer; whereas the reverse is the case in the presence of sink. Most importantly, the inconsistency of heat transfer at the bounding surface is due to the interaction of electromagnetic force with the rotation of the channel.

Unsteady MHD Couette flow in a vertical porous channel with effect of thermal radiation and variable temperature

Unsteady MHD Couette flow in a vertical porous channel with effect of thermal radiation and variable temperature

Unsteady MHD Couette flow in a vertical porous channel with effect of thermal radiation and variable temperature

Unsteady MHD Couette flows in a vertical porous channel with effect of thermal radiation and variable temperature have been studied. The governing equations at first were transformed by usual transformation non-dimensional form. The numerical solutions for time dependent velocity, temperature and special concentration are obtained by the implicit finite difference method. The computed values of fluid velocity, temperature and concentrations are analyzed for different flow parameters such as thermal Grashof number Gr, modify Grashof number Gm, Prandtl number Pr, thermal radiation parameter R and Schmidt number Sc. The effect of these parameters depicting physical situation of the flow profile is expressed with the aid of line graphs. Significant results from this study showed that the velocity, temperature and concentration increases with increase in thermal radiation, magnetic field parameters and time, and decreases with the effect of Prandtl number, Schmidt number at increasing values.

Entropy analysis in MHD Couette flow of chemically reacting viscoelastic fluid past a deformable porous channel

AbstractHere, an investigation of MHD Couette flow of a chemically reacting viscoelastic fluid past a deformable porous layer with entropy generation using Walters liquid model has been considered. A binary, homogeneous, and isotropic mixture of fluid and solid phases in the porous medium is considered. The impact of heat source parameter and Soret effect are taken into account. The governing equations are solved analytically to obtain the expressions for solid displacement, fluid velocity, temperature, and concentration. The impact of relevant parameters on the flow system, temperature, concentration, mass transfer flux, entropy generation number, and Bejan number are discussed graphically. It is observed that solid displacement enhances due to the growth of drag and viscoelastic parameter, while it reduces due to rising volume fraction parameter. Fluid velocity rises when the volume fraction parameter increases. Rising Brinkmann number enhances the temperature, while Brinkmann number and Soret number reduces the species concentration. The irreversibility of heat transfer dominates the flow near the channel plates, while the effect of fluid friction irreversibility can be observed within the channel centerline region.

Hydrodynamic behaviour of velocity of applied magnetic field on unsteady MHD Couette flow of dusty fluid in an annulus

This research work inspects mass transport phenomenon of Saffman’s dusty fluid model for transient magnetohydrodynamics fluid flow of a binary mixture passing through an annular duct. Particularly, effort has been devoted to theoretically explore the role of velocity of applied magnetic field. Here, our treatment of the governing momentum equations accountable for the flow is done using the classical Laplace transform technique and Riemann-Sum Approximation. The effects of the physical parameters such as time, relaxation time parameter, radii ratio, Hartmann number, variable mass parameter and velocity of applied magnetic field on the fluid phase velocity, dust phase velocity and skin friction have been illustrated pictorially. It is concluded that contrary to the known classical effect of boosting Hartmann number on velocity, both components of flow (fluid and dust phase) and skin friction are seen to be heightened with an overwhelming presence of velocity of applied magnetic field. For large time, it is anticipated that higher profiles for velocity and skin friction are seen with fluid phase and an accelerated moving wall.

Analysis of MHD Couette flow by fractal-fractional differential operators

Abstract In this paper, an analysis is carried out to study the MHD Couette flow (flow between two parallel plates such that the upper plate is moving with constant velocity while the lower plate is at rest) for an incompressible viscous fluid under isothermal conditions. The governing equations are developed from the problem, formulated with the recently presented fractal-fractional operators in Riemann–Liouville sense with power law, exponential decay and the Mittag–Leffler law kernels. For each operator, we present a comprehensive analysis including, the numerical solutions, stability analysis and error analysis. We apply very accurate method to get the desired results. We demonstrate the numerical simulations to prove the efficiency of the proposed method.

Entropy generation in thermal radiative oscillatory MHD couette flow in the influence of heat source

Entropy generation and their minimization for magnetohydrodynamic oscillatory couette flow through a vertical channel, soaked with a porous medium in the existence of heat source and thermal radiation has been deliberated. In the present analysis, flow governing equations are elucidated and extricated with the help of analytical technique for the fluid velocity profile, temperature field, irreversibility distribution and Bejan number. Also, the numerical value of dimensionless shearing stress and heat transfer coefficient are obtained and presented through tables with reference to flow governing parameters. It has noticed that entropy generation can be regulated or minimized with the change in the applied magnetic field and thermal radiation, and this result is useful in several thermodynamic industries and engineering field for attaining the high performance of devices with minimum heat loss.

Transition to turbulence in quasi-two-dimensional MHD flow driven by lateral walls

We investigate MHD-Couette--Shercliff flows driven by lateral wall motion with turbulent transitions observed only at supercritical Re. Linearly, the Tollmien--Schlichting (TS) wave instability was isolated at each wall for friction parameter H $\ensuremath{\gtrsim}$ 300 in MHD-Couette flow, and H $\ensuremath{\gtrsim}$ 1000 for Shercliff flow. At low H, linear and nonlinear growth led only to saturation to a traveling wave, where the waves at each wall conjoin. For larger H\ensuremath{\ge}10, nonlinearity isolates the TS wave to one wall. At H=10 turbulence is sustained and a distinct inertial subrange formed. For H\ensuremath{\ge}30 the turbulent state relaminarized, with low bulk production due to the flattened base flow.

Numerical Simulation of MHD Couette Flow of a Fuzzy Nanofluid through an Inclined Channel with Thermal Radiation Effect.

The present study especially concerns the investigation of the Couette flow and heat transfer with thermal radiation through an inclined channel. Single-wall carbon nanotube (SWCNT) and multiple-wall carbon nanotube (MWCNT) are nanoparticles embedded in the host fluid. The dimensionless highly nonlinear differential equations (DEs) are solved via numerical scheme bvp4c. The effects of the physical parameters on heat transfer are presented in the form of graphs. The results demonstrate that the heat transfer is enhanced by using solid particle frictions (SWCNT and MWCNT). The large estimation of a magnetic parameter declines the velocity component. The current and existing results with their comparisons are shown in the tabular form for the validation of our code. The current results are in good agreement with their existing results. Generally, fuzziness or uncertainty is inherent in modeling, analysis, and experimentation. Due to the uncertain environmental conditions, fuzziness broadly exists in various engineering heat transfer problems. In this work, the nanoparticles' volume fraction of the SWCNT and MWCNT is taken as uncertain parameters in terms of triangular fuzzy numbers (TFNs). The TFNs are controlled by the α − cut which has less computational effort for analyzing the fuzziness or uncertainties. Also, a comparison between the SWCNT and MWCNT through the membership function and the variability of the uncertainty is studied.

Radiative Effects on Unsteady MHD Couette Flow through a Parallel Plate with Constant Pressure Gradient

In this paper, the unsteady MHD Couette flow through a porous medium of a viscous incompressible fluid bounded by two parallel porous plates under the influence of thermal radiation and chemical reaction is investigated. A uniform suction and injection are applied perpendicular to the plates while the fluid motion is subjected to the constant pressure gradient. The transformed conservation equations are solved analytically subject to physically appropriate boundary conditions by using the Eigenfunction expansion technique. The influence of some emerging non-dimensional parameters namely, pressure gradient, suction parameter, radiation parameter, and Hartman number are examined in detail. It is observed that the primary velocity is increased with increasing pressure gradient while the increase in radiation parameter leads to adecrease in the thermal profile of the flow.

Entropy Analysis of a Variable Viscosity MHD Couette Flow Between Two Concentric Pipes with Convective Cooling

This paper addresses the combined effects of the magnetic field, thermal buoyancy force, viscous dissipation, Joule heating and temperature-dependent viscosity on the Couette flow of an incompressible conducting fluid between two concentric vertical pipes. It is assumed that convective cooling occurs at the surface of the outer moving pipe while the surface of the inner fixed pipe is maintained at a constant temperature. The nonlinear equations for momentum and energy are obtained and solved numerically using a shooting method coupled with the Runge-Kutta-Fehlberg integration procedure. Relevant results depicting the effects of embedded thermophysical parameters on the velocity and temperature profiles, skin friction, the Nusselt number, entropy generation rate and the Bejan number are presented graphically and discussed. It is found that an increase in the magnetic field intensity boosts the entropy generation rate while an increase in convective cooling lessens it.

Numerical Solution of Unsteady MHD Couette Flow in the Presence of Uniform Suction and Injection with Hall Effects

In this paper, unsteady magnetohydrodynamic Couette flow is studied numerically for a viscous, incompressible and electrically conducting fluid between two infinitely long parallel porous plates, taking Hall current into account. Fluid flow within the channel is induced due to impulsive movement of the lower plate of the channel and fluid motion is subjected to a uniform suction and injection at upper and lower plates. Magnetic lines of force are assumed to be fixed relative to the fluid. Numerical solutions for primary and secondary velocities are obtained from the governing momentum equation by employing explicit finite difference method. Numerical solutions of the primary and secondary velocities are displayed graphically versus non-dimensional channel width variable $$y$$ for various values of Hall current parameter $$m$$ , magnetic parameter $$M$$ , suction/injection parameter $$S$$ and time $$t$$ whereas the numerical values of co-efficient of skin-frictions at the moving plate due to primary and secondary flows are presented in tabular form for different values of $$m$$ , $$M$$ , $$S$$ and $$t$$ .

Effect of Inclined Magnetic Field on MHD Couette flow of a Non-Newtonian Fluid between Two Infinite Parallel Plates

Effect of Inclined Magnetic Field on MHD Couette flow of a Non-Newtonian Fluid between Two Infinite Parallel Plates

Role of Sudden Application or Withdrawal of Magnetic Field on MHD Couette Flow

This article investigates the impact of a sudden application or sudden withdrawal of a magnetic field on an unsteady MHD Couette flow formation in a parallel plate channel. The governing momentum equation is derived and solved exactly in Laplace domain using the Laplace transform technique with the necessary initial and boundary conditions to capture the present physical situation for the cases; sudden application or sudden withdrawal of a magnetic field. Due to the complexity of the solution obtained, the Riemann-sum approximation technique is used to transform the Laplace domain to time domain. During the course of graphical and tabular representations, results show that the Hartmann number, time and nature of application of a magnetic field play an important role in the transition from hydrodynamic to magnetohydrodynamic flow and vice-versa. Also, fluid velocity steady-state solution is independent on whether the magnetic field is fixed relative to the moving plate or to the fluid for sudden withdrawal of magnetic field. In addition, the application of a sudden magnetic field leads to a delay in the attainment of steady-state solution.

Free Convection MHD Couette Flow with Application of Periodic Temperature and Constant Heat Flux on Walls

Free Convection MHD Couette Flow with Application of Periodic Temperature and Constant Heat Flux on Walls

Free Convection MHD Couette Flow with Application of Periodic Temperature and Constant Heat Flux on Walls

Numerical analysis and analytical solution were performed to study the free convection in transient Couette flow of an electrically conducting fluid confined between two vertical parallel plates. Constant heat flux on the wall with uniform vertical motion in its own plane and periodic temperature on the stationary wall were applied. The dimensionless governing momentum and energy equations are solved numerically using a fully implicit finite difference method. An analytical solution using eigenfunction expansion method is carried out for temperature profile in case of constant plate temperature. Analytical and numerical results converge at a satisfactory degree. The effect of different physical parameters on the transient velocity and temperature, such as Grashof’s number (Gr), magnetic parameter (M), Prandtl number (Pr) and temperature frequency are also studied. It is found that the velocity increases with an increase in Gr and temperature frequency, while it decreases with an increase in Pr and M.