Hall Current Effects Research Articles

Transient MHD flows through an exponentially accelerated isothermal vertical plate with Hall effect and chemical reaction effect: FEM

In this article, we analyze the transient MHD current of an exponentially accelerated isothermal vertical plate with Hall current and chemical reaction effects, and use the finite element method to solve the dimensionless equation under appropriate initial and boundary conditions. The Galerkin finite element method is used for numerical solution. It is a powerful and stable technology that provides excellent convergence and is suitable for processing coupled systems with partial differential equations. The influence of various suitable parameters on the flow field on the boundary layer has been shown graphically. In the presence of various relevant parameters, Nusselt number (Nu) and Sherwood number (Sh) are discussed and given in table form. These results are in good agreement with previously published reports. These results are useful in fields related to heat and mass transfer research.

Hall and Ion-slip current effects on steady fluid flow through a rotating curved square duct with magnetic field

Hall and Ion-slip current effects on steady fluid flow through a rotating curved square duct with magnetic field

Significance low oscillating magnetic field and Hall current in the nano-ferrofluid flow past a rotating stretchable disk

The present investigation involves the Hall current effects past a low oscillating stretchable rotating disk with Joule heating and the viscous dissipation impacts on a Ferro-nanofluid flow. The entropy generation analysis is carried out to study the impact of rotational viscosity by applying a low oscillating magnetic field. The model gives the continuity, momentum, temperature, magnetization, and rotational partial differential equations. These equations are transformed into the ODEs and solved by using bvp4c MATLAB. The graphical representation of arising parameters such as effective magnetization and nanoparticle concentration on thermal profile, velocity profile, and rate of disorder along with Bejan number is presented. Drag force and the heat transfer rate are given in the tabular form. It is comprehended that for increasing nanoparticle volume fraction and magnetization parameter, the radial, and tangential velocity reduce while thermal profile surges. The comparison of present results for radial and axial velocity profiles with the existing literature shows approximately the same results.

Heat and mass transport performance of MHD elastico‐viscous fluid flow over a vertically oriented magnetized surface with magnetic and thermo diffusions

AbstractThe key objective in this study is to examine the heat and mass transport behavior of magnetohydrodynamic elastic‐viscous fluid flow over a vertically oriented magnetized surface placed in a uniform permeable regime with magnetic and thermo diffusions. The fluid is partially ionized and permeated to flow in the presence of a strong magnetic field domain. Hence the Hall current effect is considered in this investigation. The significance of rotation and induced magnetic field on the flowing nature are also scrutinized in this study. The mathematical model of the problem is converted to a similar model by introducing suitable nondimensional variables. To obtain the closed‐form solutions of the flow leading equations, the regular perturbation analysis is utilized. For the exhibition of results, figures and tables are generated with the assistance of scientific computation software MATHEMATICA. Computed results are validated with the existing result in the limiting case. Such an investigation is important in evaluating the flow characteristics of low magnetic diffusive viscoelastic fluid. A noteworthy result seen is that magnetic diffusion significantly controls the fluid flow by altering the magnetic drag force. Mass diffusion factor brings an increase in the fluid velocity. Furthermore, we observed that the surface current density along the principal flow direction is significantly reduced by magnetic diffusion and mass diffusion factor.

RETRACTED ARTICLE: A numerical study of chemical reaction in a nanofluid flow due to rotating disk in the presence of magnetic field

In this paper, a numerical study of MHD steady flow due to a rotating disk with mixed convection, Darcy Forchheimer’s porous media, thermal radiation, and heat generation/absorption effects are explored. A strong magnetic field is applied in perpendicular direction to the flow which governs the Hall current effects. Homogeneous and heterogeneous reactions are also taken into account. For the simplification of partial differential equations (PDEs) into the nonlinear ordinary differential equations (ODEs), the method of generalized Von Karman similarity transformations is employed, and the resulting non-dimensional ordinary differential equations are solved by using the homotopy analysis method (HAM). Effects of different parameters on the axial, radial and tangential velocity profiles, temperature and concentration of chemical reaction profiles are analyzed and discussed. The present work’s remarkable finding is that with the expansion of nanoparticles size, dimensionless constant parameter, local Grashof number, porosity parameter, Hall current, and suction parameter, the nanofluid radial velocity is enhanced. For the higher values of magnetic field parameter, the tangential velocity and nanofluid temperature are enhanced. The magnetic field parameter and the disk thickness coefficient parameter have similar impacts on the axial velocity profile. Heterogeneous chemical reaction parameter decreases the concentration of chemical reaction profile. The nanoparticles volume fraction increases the concentration of chemical reaction profile. Furthermore, the present results are found to be in excellent agreement with previously published work in tabulated form.

Numerical study on heat absorbing MHD radiating and reacting flow past an impulsively moving vertical plate with ramped temperature and concentration with Hall current

In this paper, we made elaborate investigation of the Hall current and radiation effects on MHD heat absorbing unsteady natural convection flow of a viscous incompressible electrically conducting fluid past an impulsively moving infinite vertical plate with ramped temperature and concentration in the presence of first order chemical reaction. The constructing coupled PDEs of the model along with initial and boundary conditions are solved numerically by utilizing the robust FEM. The effects of significant parameters on the primary and secondary velocities, temperature and concentration within the boundary layer are examined. The computational assessment of the primary and secondary shear stresses, rate of heat and mass transfer at the plate surface are put in tabular form. The thermal and mass buoyancy effects elevate both primary and secondary velocity components whilst reverse trend takes place when radiation and chemical reaction parameters are increased. Both primary and secondary velocity components decrease with increasing magnetic parameter whilst opposite trend are noticed with increasing Hall parameter. An increase in Prandtl number and radiation parameter results to reduce temperature distribution. The concentration distribution decreases with increase in Schmidt number and chemical reaction parameter. The significant difference between the fluid velocities is noticed due to the ramped and isothermal boundary conditions.

Hall currents effect on squeezing flow of non-Newtonian nanofluid through a porous medium between two parallel plates

An analysis is carried out to study the problem of unsteady squeezing flow of a non-Newtonian nanofluid through a porous medium between two parallel plates. The effects of Hall currents and heat source are taken into consideration. The governing partial differential equations are transformed into a set of nonlinear ordinary differential equations by using similarity transformations. A homotopy perturbation method is performed to obtain analytical solutions for that system of equations. The behaviors of the tangential velocity, normal velocity, temperature, and nanoparticles concentrations distributions are discussed analytically and graphically under the effect of different entering parameters. Physically, our model corresponds to squeezing problems in tunnelling such as study the relation between rock types and its depths in squeezing cases and time dependent stress induced problem in sandstone. This problem provides interesting results which may have many applications in chemistry, biology, and medicine.

Hall current effects on electro-magneto-dynamic peristaltic flow of an Eyring–Powell fluid with mild stenosis through a uniform and non-uniform annulus

Hall current effects on electro-magneto-dynamic peristaltic flow of an Eyring–Powell fluid with mild stenosis through a uniform and non-uniform annulus

Mechanical aspects of Maxwell nanofluid in dynamic system with irreversible analysis

AbstractThe study concerns with the mechanical characteristics of rotating system of two double disks. Hall current effect, entropy generation, Arrhenius activation energy and binary chemical reactions are investigated in heat and mass transfer bioconvection flow of Maxwell nanofluid. Brownian motion and thermophoresis with thermal radiation and buoyancy effects are encountered in the governing equations. The mechanical system has been investigated by the governing equations and boundary conditions which are simplified by the use of suitable similarity transformations. Optimal homotopy analysis method is implemented to obtain the series solution of non‐linear ordinary differential equations. Physical behaviors of heat and mass transfer flow with entropy generation are investigated through the effects of embedded parameters.

Influence of Hall and Joule heating on a magnetic nanofluid (Fe3O4) flow on a rotating disk with generalized slip condition

AbstractThis study analyzes Hall current and Joule heating effects on the ferro‐nanofluid flow by the rotation of the disk incorporated with generalized slip condition. By using the well‐known Von Karman transformation, formulated flow equations are modeled into ordinary differential equations. Numerical solutions of the governing flow equations are attained by utilizing the shooting method consolidated with the fourth‐order Runge–Kutta scheme. The impacts of different parameters on skin friction coefficient, velocity, temperature, and Nusselt number are given in graphs and tables and investigated in detail. Furthermore, an association with formerly published articles is given and met in remarkable correspondence.

Unsteady Couette Flow Past between Two Horizontal Riga Plates with Hall and Ion Slip Effects

Riga plate is the span wise array of electrodes and permanent magnets that creates a plane surface and produced the electromagnetic hydrodynamic fluid behavior and mostly used in industrial processes with fluid flow affairs. In cases where an external application of a magnetic or electric field is required, better flow is obtained by the involvement of the Riga plate. Riga plate acts as an agent to reduce the skin friction and enhance the heat transfer phenomena. It also diminishes the turbulent effects, so that it is possible to get an efficient flow control and it increases the performance of the machine. So the numerical investigation of the unsteady Couette flow with Hall and ion-slip current effects past between two Riga plates has been studied and the numerical solutions are acquired by using explicit finite difference method and estimated results have been gained for several values of the dimensionless parameter such as pressure gradient parameter, Hall and Ion-slip parameters, modified Hartmann number, Prandtl number, and Eckert number. In this article, the importance of the modified Hartmann number on the flow profiles is immense owing to the Riga plate. The expression of skin friction and Nusselt number has been computed and the outcomes of the relevant parameters on various distributions have been sketched and presented as well as graphically.

Influence of Hall current effect on hybrid nanofluid flow over a slender stretching sheet with zero nanoparticle flux

AbstractThe present article explores steady, incompressible, and electrically conducting viscous hybrid‐nanofluid flow through an impermeable slender stretching sheet. We have opted for water (H2O) as base fluid and two nanoparticles namely Al2O3 and graphene for the hybrid‐nanofluid. The consequence of nonuniform magnetic field and Hall current is accounted for in the flow distribution. Zero mass‐flux boundary conditions have been included here. The leading partial differential equations of the acknowledged model revise to similarity variables. Next, the subsequent equations are numerically solved by a shooting scheme based on Runge–Kutta fourth‐order procedure. The consequences of boosting flow factors on transport systems are achieved accurately through the requisite figures and charts. Concentration outlines are dual in nature when the wall‐thickness factor intensifies. The rate of heat and mass transmit augments with wall‐thickness factor.

Rotating flow assessment of magnetized mixture fluid suspended with hybrid nanoparticles and chemical reactions of species

The current study characterizes the effects of Hall current, Arrhenius activation energy and binary chemical reaction on the rotating flow of hybrid nanofluid in two double disks. By the use of suitable similarity transformations, the system of partial differential equations and boundary conditions for hybrid nanofluid are transformed to ordinary differential equations which are solved through optimal homotopy analysis method. The intensified magnetic field and hybrid nanofluid performances are represented in three dimensional model with flow, heat and mass transfer. Radial velocity decreases and tangential velocity increases with the Hall parameter. Temperature rises with high values of rotation parameter while it decreases with the Prandtl number. Nanoparticles concentration enhances with the increments in Arrhenius activation energy parameter and stretching parameter due to lower disk. There exists a close and favorable harmony in the results of present and published work.

On the Analysis of the Non-Newtonian Fluid Flow Past a Stretching/Shrinking Permeable Surface with Heat and Mass Transfer

The 3D Carreau fluid flow through a porous and stretching (shrinking) sheet is examined analytically by taking into account the effects of mass transfer, thermal radiation, and Hall current. The model equations, which consist of coupled partial differential equations (PDEs), are simplified to ordinary differential equations (ODEs) through appropriate similarity relations. The analytical procedure of HAM (homotopy analysis method) is employed to solve the coupled set of ODEs. The functional dependence of the hydromagnetic 3D Carreau fluid flow on the pertinent parameters are displayed through various plots. It is found that the x-component of velocity gradient (f′(η)) enhances with the higher values of the Hall and shrinking parameters (m,ϱ), while it reduces with magnetic parameter and Weissenberg number (M,We). The y-component of fluid velocity (g(η)) rises with the augmenting values of m and M, while it drops with the augmenting viscous nature of the Carreau fluid associated with the varying Weissenberg number. The fluid temperature θ(η) enhances with the increasing values of radiation parameter (Rd) and Dufour number (Du), while it drops with the rising Prandtl number (Pr). The concentration field (ϕ(η)) augments with the rising Soret number (Sr) while drops with the augmenting Schmidt number (Sc). The variation of the skin friction coefficients (Cfx and Cfz), Nusselt number (Nux) and Sherwood number (Shx) with changing values of these governing parameters are described through different tables. The present and previous published results agreement validates the applied analytical procedure.

Soret and Dufour effects with Hall currents on peristaltic flow of Casson fluid with heat and mass transfer through non-darcy porous medium inside vertical channel

The peristaltic flow with heat and mass transfer for non-Newtonian fluid through non- darcy porous medium is investigated. The fluid obeys Casson model and the effects of Hall currents, Ohmic and viscous dissipations, heat generation and chemical reaction are taken into account. Problem is mathematically modulated using a system of partial differential equations describing velocity, temperature and concentration of the fluid .The non-dimensional partial differential equations are simplified using the approximations of long wavelength and low Reynolds number. Then this system subjected to appropriate boundary conditions is solved by using homotopy perturbation method. The effect of obtained solutions of velocity, temperatures and concentration as functions of the physical parameters of the problem are discussed computationally and illustrated graphically. It is shown that the velocity decreased by increasing of the magnetic field, non –Newtonian parameter, while it increases with non- darcian parameter and heat generation, also, the tempartial decreases with increasing of Eckert and Grashoff numbers while it increases with heat generations. Dufour number and non-direction furthermore, the concentration decreases with Newtonian and magnetic parameters, while it increases with chemical reaction and Eckert number.

Hall current and thermo-diffusion effects on magnetohydrodynamic convective flow near an oscillatory plate with ramped type thermal and solutal boundary conditions

The present discussion deals with the study of time-dependent hydromagnetic free convection fluid flow with heat and mass transfer over an oscillating vertical plate which is placed in a porous medium with ramped wall temperature and wall concentration in the presence of Hall current, rotation, chemical reaction, thermal radiation, thermo-diffusion (Soret effect). The governing system of equations is non-dimensionalized by using suitable dimensionless variables and parameters. The non-dimensional equations are solved analytically using the Laplace transform technique. The influence of various pertinent flow parameters on velocity, temperature and concentration fields are analyzed and portrayed through figures, whereas the skin friction, Nusselt number and Sherwood number are described and shown in tabular form.

Rotating MHD convective heat and mass transfer flow with ramped temperature and concentration under the effects of radiation, chemical reaction and Hall current

An analytic solution to a problem of MHD heat and mass transfer flow of an incompressible, viscous, electrically conducting, partially ionized, heat absorbing and chemically reacting fluid in the presence of thermal radiation and Hall current with ramped temperature and concentration has been presented. In the entire investigation, only the externally applied magnetic field is taken into consideration and the induced magnetic field is neglected. Laplace Transform technique in closed form is adopted to solve the governing equations of the motion describing the velocity, temperature and concentration profiles. The effects of the relevant physical parameters on these fields and also on skin friction, Nusselt number and Sherwood number are displayed and discussed through graphs.

Transfer of heat and hall current effects on peristaltic flow of a bingham fluid in a channel by Adomian decomposition method

This paper concerns with the transfer of heat and hall current effects on peristaltic flow of a Bingham fluid in a channel is analysis. Resulting differential equations after implementation of small Reynolds number and long wavelength considerations are numerically solved. The expressions for different parameters like pressure rise, flow rate and frictional force are determined. The effect of magnetic field, Darcy number, yield stress, amplitude ratio, Hall parameter and the temperature on pressure gradient, pumping characteristics and frictional force are discussed through nature of graphs

Hall current impacts on unsteady MHD free convective flow past an infinite vertical porous surface

AbstractIn this paper, the magnetohydrodynamic free convective flow of an incompressible electrically conducting fluid over a vertical plate embedded in a porous medium is considered. A homogeneous transverse magnetic field is applied in the presence of a heat source and chemical reaction in a rotating frame, taking Hall current effects into account. The momentum equations for the fluid flow in a porous medium were determined by Brinkman modeling. At the undisturbed state, both the plate and fluid have an rigid body rotation due to the constant angular velocity, perpendicular to the infinite vertical plane surface. The vertical surface is subject to the homogeneous constant suction and the heat on the surface vary by time about a nonzero constant rate whereas the temperature of free stream is engaged to be constant. The accurate solutions for the velocity, temperature, and concentration distributions were acquired systematically using the perturbation method. The consequences of an assortment of governing flow parameters on the velocity, temperature, and concentration were analyzed through graphical profiles. The computational results for the skin friction, Nusselt number, and Sherwood number in a tabular format were also examined.

Hall current effects on a magnetic nanofluid layer under temperature gradient

In the Bénard convection governed nanofluid confined between two horizontal infinite free-free boundaries, the effect of Hall current is investigated when it is subjected to the constant vertical magnetic field. The Buongiorno mathematical model for hydromagnetic flow with Hall currents has been considered. The Brownian motion effects and thermophoresis of nanoparticles have been included in the energy equation. A realistic boundary condition based on zero nanoparticle mass flux at the walls is incorporated for the analysis. The impacts of Brownian motion, convective heat transfer, thermophoresis of nanoparticles and zero mass flux conditions are also deliberated through the behaviour of the related parameters. The parameters representing the model incorporate the consequences of newly introduced physically realistic boundary conditions and Hall currents. For comprehensive physical interpretation the embedded parameters have been plotted and deliberated graphically. It is found that Hall current is responsible to enhances the instability of the system and sets the convection earlier. A rigorous comparison has been made with the existing results. The results are shown graphically and verified numerically.