Hall Current Effects Research Articles

Effects of Hall current on MHD natural convection in between two vertical flat walls with induced magnetic field and heat source/sink

ABSTRACT The effects of Hall current and heat source/sink are considered on MHD natural convective flow of an electrically conducting viscous fluid in between two vertical flat walls with an induced magnetic field. The exact analytical solutions for converted flow equations from governing equations after using suitable non-dimensional variables are obtained. The effects of Hall current, heat source/sink, and magnetic field on the velocity components, induced magnetic field in flow dynamics, and the induced current density are presented through some figures and tables. The impact of the Hall current is massive on both components of velocity and those increases with Hall current. Whereas, both the components of the induced magnetic field and induced current density decrease due to Hall current. Whereas due to heat source(sink), the primary velocity enhances(reduces) and the effect is opposite for the secondary velocity. For increasing heat source parameter both primary and secondary induced magnetic field and induced current density increase, while temperature-dependent heat sink shows contrary effects. In two flat vertical walls, the variations in the skin-friction components, i.e. surface drag force components for the presence of magnetic field are opposite to each other. In addition, mass flow rate components enhance for Hall current and reduce for a stronger magnetic field. With increasing heat source parameter, the primary skin-friction component rises and secondary skin-friction component decreases at the left wall with higher temperature, while at the right wall with lower temperature both skin-friction components have increasing nature, and reverse impacts are observed for the heat sink. Due to the presence of heat source, primary (secondary) mass flow rate component enhances (reduces) and opposite effects have found for the heat sink.

Influence of Navier-slip conditions on natural convection flow through an inclined channel with inclined magnetic field, Soret and Hall current effects

This research is to examine the laminar, incompressible fluid with an inclined magnetic field on free convective Navier-slip flow through an inclined channel. In addition, the Hall current and Soret effects have also been considered. Dimensionless governing equations are derived by using the suitable transformations and the resulting governing partial differential equations are solved by using the spectral quasilinearisation method (SQLM). The influence of the flow parameters of the present study is explained in graphs. Physical quantities of the present study are shown in tabular form.

Influence of Navier-slip conditions on natural convection flow through an inclined channel with inclined magnetic field, Soret and Hall current effects

Influence of Navier-slip conditions on natural convection flow through an inclined channel with inclined magnetic field, Soret and Hall current effects

Inclined magnetic field, thermal radiation and Hall current effects on natural convection flow between vertical parallel plates

Inclined magnetic field, thermal radiation and Hall current effects on natural convection flow between vertical parallel plates

Inclined magnetic field, thermal radiation and Hall current effects on natural convection flow between vertical parallel plates

This paper investigates the impact of thermal radiation and an inclined magnetic field on free convection flow through a vertical channel. In addition to this Hall current effect has been taken into consideration. Spectral quasi-linearization method (SQLM) has been utilised to solve the dimensionless governing equations; those were obtained by using similarity transformations from the system of governing partial differential equations. Influence of all the pertaining flow parameters of this study on all the dimensionless profiles were calculated and presented through graphs. Also the nature of the physical parameters were calculated and presented in table form. This study clearly exhibits that the inclined magnetic field influences the fluid flow remarkably.

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.

Analytical and numerical treatment to study the effects of hall currents with viscous dissipation, heat absorpation and chemical reaction on peristaltic flow of Carreau nanofluid

The peristaltic flow of Carreau nanofluid with heat and mass transfer through porous medium inside a symmetric horizontal channel with flexible walls is investigated. The Hall currents with viscous dissipation, heat absorption and chemical reaction are considered, the system is stressed by a uniform strong magnetic field. The problem is modulated mathematically by a system of non-linear PDE which describe the motion, heat and nanoparticles phenomenon of the fluid. These equations with subjected boundary conditions are transferred to a dimensionless form and simplified under the assumptions of long wavelength and low Reynolds number, then solved analytically by using perturbation technique for small Weissen-berg number. In other word these equations are solved also numerically by using Runge-Kutta-Merson method with Newton iteration in a shooting and matching technique. The effects of the emerging physical parameters of the problem on the velocity, temperature, and nanoparticles phenomena are discussed numerically for both techniques used for solutions and illustrated graphically through a set of figures. It is found that this problem plays a dramatic role in controlling the solutions. A comparison between the obtained solutions from both methods is made.

Semi-analytical treatment of Hall current effect on peristaltic flow of Jeffery nanofluid

In the current paper, a semi-analytical solution is obtained for the problem of the peristaltic motion of Jeffrey nanofluid with heat transfer inside an asymmetric channel. The influences of variable viscosity, thermal conductivity, Hall currents, Joule heat and viscous dissipation are taken into consideration. The problem is modulated mathematically by a system of non-linear partial deferential equations which describe the fluid velocity, temperature and nanoparticles concentration distributions. This system is simplified by considering long wavelength of the peristaltic wave and low Reynolds number. It is solved by using the multi-step deferential transform method to obtain the velocity, temperature and nanoparticles concentration distributions, pressure rise and pressure gradient. These solutions are obtained as functions of the physical parameters of the problem. Tables and figures are discussed to see the effects of these parameters. It is found that the thermal conductivity parameter causes an increase in the pressure gradient, meanwhile it reduces the pressure rise. Furthermore, it is noticed that the behavior of Brownian and thermophoresis parameters on nanoparticles concentration field are quite reverse.

Statistical analysis of MHD convective ferro-nanofluid flow through an inclined channel with hall current, heat source and soret effect

The role of Hall current, heat source and Soret effects on MHD convective ferro-nanofluid (Fe3O4-water) flow through an inclined channel with porous medium has been theoretically and statistically examined. Velocity, thermal and concentration boundary layer in nanofluids are considered to be oscillatory. Heat due to radiation is induced by the huge disparity in temperature between the plates. Hall current is generated by the uniform application of a strong magnetic field perpendicular to the flow of fluid. Boundary layer equations are changed to non-dimensional type and it is resolved by perturbation approximation. The outcomes are displayed in the form of tables and figures using MATLAB software. The outcome of pertinent parameters on concentration, temperature and velocity profiles are evaluated through graphs. Besides, wall heat, mass transfer rates and surface drag are investigated through statistical tools like regression and probable error. Results explain that heat source and hall current have a negative impact on skin friction whereas heat source has a positive impact on Nusselt number. Also, Soret number has a negative impact on Sherwood number.

TRANSFER OF HEAT AND HALL CURRENT EFFECTS ON PERISTALTIC FLOW OF A BINGHAM FLUID IN A CHANNEL

TRANSFER OF HEAT AND HALL CURRENT EFFECTS ON PERISTALTIC FLOW OF A BINGHAM FLUID IN A CHANNEL

Heat absorption and Hall current effects on unsteady MHD flow past an inclined plate

In the present paper, we study the effect of heat absorption on unsteady flow of a viscous, incompressible, electrically conducting fluid past an impulsively started inclined plate with variable wall temperature and mass diffusion in the presence of transversely applied uniform magnetic field and Hall current. Earlier we analyzed the effects of radiation and chemical reaction on MHD flow past a vertical plate with variable temperature and mass diffusion. We had obtained the results which were in agreement with the desired flow phenomenon. To study further, we are changing the model by considering heat absorption on fluid, and changing the geometry of the model. Here in this paper we are considering the plate positioned inclined from vertically plane and impulsively started with velocity u0. The temperature of plate and the concentration level near the plate is increase linearly with time. The governing equations involved in the present analysis are solved by the Laplace-transform technique. The results obtained have been analyzed with the help of graphs drawn for different parameters like thermal Grashof number, mass Grashof Number, Prandtl number, permeability parameter, Hall current parameter, heat absorption parameter, magnetic field parameter and Schmidt number. The numerical values obtained for skin-friction and Nusselt number have been tabulated. The results are found to be in a good agreement and the data obtained is in concurrence with the actual MHD fluid flow phenomenon.

Lorentz Forces Effects on the Interactions of Nanoparticles in Emerging Mechanisms with Innovative Approach

This paper focuses on advances in the understanding of both the fundamental and applied aspects of nanomaterials. Nanoparticles (titania and graphene oxide) in water-based fluid lying on a surface incorporating the leading edge accretion (or ablation) are analyzed. Entropy generation rate is also considered. The Hall current effect is induced in the flow of hybrid nanofluid, due to which the two-dimensional study converts into three-dimensional space. Similarity transformations convert the equations of momentum, heat transfer, nanoparticles volume fraction and boundary conditions into non-dimensional form. Mathematica software is used to obtain the computation through homotopy analysis method. Analysis is provided through the effects of different parameters on different profiles by sketching the graphs. Flow, heat transfer and nanoparticles concentration in TiO2/H2O, as well as GO-TiO2/H2O, are decreased with increasing the Stefan blowing effect, while entropy generation rate elevates upon increasing each parameter. Both of the velocity components are reduced with increasing the Hall parameter. Streamlines demonstrate that trapping is increased at the left side of the surface. The obtained results are compared with the published work which show the authentication of the present work.

Effect of Heat and Mass Transfer on Casson Fluid Flow Between Two Co-Axial Tubes with Peristalsis

The effects of both Hall currents and radiation on unsteady flow of an incompressible non-Newtonian fluid obeying Casson model through a porous medium have been discussed. The thermal-diffusion and diffusion thermo effects are taken into our consideration. The non-linear partial differential equations which govern this problem are simplified by making the assumption of long wave length and small Reynolds number. These equations are solved numerically by using explicit finite difference method. In addition, the axial velocity, temperature and concentration are illustrated graphically for various parameters of the problem such as magnetic parameter (Hartman number), the upper limit apparent viscosity coefficient, Hall parameter, the pressure gradient, Prandtl number, Eckert number, Darcy number, Dufour number, the radiation parameter, Schmidt number, Soret number, the chemical reaction parameter and heat source/sink parameter. Furthermore, it is noticed that the behavior of the pressure gradient and Hartman number parameters is to increase or decrease the temperature distributions and is quite reverse

Dissipative Power-law fluid flow using spectral quasi linearization method over an exponentially stretchable surface with Hall current and power-law slip velocity

The present article aims to reports laminar, incompressible, electrically conducting two-dimensional non-Newtonian (power-law) liquid flow via exponentially stretching sheet with power-law slip velocity conditions. Transverse magnetic field, Hall current, viscous dissipation and radiative flux effects are incorporated in the formulation. Rosseland's diffusion model is defined for the radiation heat transfer. The non-linear partial derivation formulations satisfying the flow are transformed to the non-linear derivative equations by employing the local similarity quantities and then solved analytically through spectral quasi-linearization method (SQLM). The resultant solution is computed for different parameters in tables and graphical representation for clear understanding of the thermo-physical terms. Extensive visualization of primary and secondary velocities, temperature distributions for various emerging parameters presented for n = 0.7 (pseudo-plastic fluid) and n = 1,3 (dilatant fluid). The results are verified for limiting cases by comparing with various investigations and found excellent accuracy for Newtonian case. It is interesting to note that secondary flow rate is more dominant for both the cases of pseudo plastic and dilatant fluids for Hall parameter and Eckert number. Increasing Hall current leads suppress the fluid temperature but as Eckert number grows it leads grow the fluid temperature. Further, it is observed that as Hall parameter increases local Nusselt number strongly elevates.

Hall current, viscous and Joule heating effects on steady radiative 2-D magneto-power-law polymer dynamics from an exponentially stretching sheet with power-law slip velocity: A numerical study

A mathematical model is developed for 2-D laminar, incompressible, electrically conducting non-Newtonian (Power-law) fluid boundary layer flow along an exponentially stretching sheet with power-law slip velocity conditions in the presence of Hall currents, transverse magnetic field and radiative flux. The secondary flow has been induced with appliance of Hall current. The distinguish features of Joule heating and viscous dissipation are included in the model since they are known to arise in thermal magnetic polymeric processing. Rosseland’s diffusion model is employed for radiation heat transfer. The non-linear partial differential equations describing the flow (mass, primary momentum, secondary momentum and energy conservation) are transformed into non-linear ordinary differential equations by employing local similarity transformations. The non-dimensional nonlinear formulated set of equations is numerically evaluated with famous shooting algorithm by using MATLAB software. The validation of simulated numerical results has been completed with generalized differential quadrature (GDQ). Extensive visualization of primary and secondary velocities and temperature distributions for the effects of the emerging parameters is presented for both pseudo-plastic fluids (n = 0.8) and dilatant fluids (n = 1.2). The study is relevant to the manufacturing transport phenomena in electro-conductive polymers (ECPs).

Study of MHD Heat and Mass Transfer Flow for Hall and Ion-Slip Currents Effects in High Porosity Medium and Revolving System

In high porosity medium and revolving system the effects of ion-slip and Hall currents are studied on MHD heat and mass transfer flow. The non-linear coupled partial differential equations are determined using byl transformations and solve these equations employing finite difference method. Velocity, temperature as well as concentration profiles are studied for the concerned physical parameters and results are presented graphically. Due to the Hall and ion-slip parameters, Eckert number, and porosity parameter the velocity profiles are pronounced while it is declined for the effects of magnetic parameter, Prandtl number. Also the magnetic parameter enhances the temperature profiles. On the other hand, the temperature (concentration) profile decreases (increases) for the increasing effect of Prandtl number (Soret number). The rate of changes of velocity, temperature and concentration profiles are also presented graphically.

Numerical Computing Paradigm for Investigation of Micropolar Nanofluid Flow Between Parallel Plates System with Impact of Electrical MHD and Hall Current

The current study develops a novel application of numerical computing paradigm to inspect the cumulative effects of both electric and magnetic field on a micropolar nanofluid bounded by two parallel plates in a rotating system by using Adams and Explicit Runge–Kutta (RK) solvers. The steady state micropolar nanofluidics flow has been considered between parallel plates under the Hall current effect. The conventional expressions for the governing flow in terms of system of ODEs are engaged. Adams and Explicit RK-based numerical solvers have been exploited for approximate solution of the system dynamics. Accuracy, convergence and stability analyses of both numerical schemes established their correctness. The impact of the Sherwood number on the concentration profile, Nusselt number and coefficient of skin friction on temperature and velocity profiles, respectively, have been analyzed numerically along with thermophoresis investigation, rotation, Hall current and Brownian motion of micropolar nanofluid. The effect of physical quantities including viscosity, magnetic, rotating, coupling, Brownian motion, thermophoretic and micropolar fluid parameters as well as Prandtl and Schmidt numbers has been presented.

Utilization of hall current and ions slip effects for the dynamic simulation of peristalsis in a compliant channel

The recent hypothetical analysis is to explore the effect of hall current and ion's slip for a peristaltic mechanism of non-Newtonian Rabinowitsch fluid model (lubricant blended with the viscosity index reformer) with the dynamic damping and stiffness features. The mathematical model is examined by considering the assumptions of low Reynold's number and long wavelength, the governing system of non-linear differential equations are solved with the help of the perturbation technique. The impact of numerous parameters associated with a fluid flow such as viscous damping, stiffness, rigidity, Hall parameter and Brickman number are intrigued for velocity profile, temperature distribution, and concentration profile. Results are strategized and deliberated for shear thickening, shear-thinning, and a viscous fluid model. It is observed that the momentum distribution is enhanced for larger values of stiffness, rigidity and viscous damping force parameters, but quite reverse nature is depicted for thermal distribution. The variations of streamline are presented graphically for the Hartman number and elastic parameters. Brinkman number is related to the viscous dissipation effects, so it contributes to enhancing the thermal distribution of fluid for all cases.

Hall Current and Joule Heating Effects on Peristaltic Flow of a Sisko Fluid with Mild Stenosis through a Porous Medium in a Tapered Artery with Slip and Convective Boundary Conditions

This work is arranged to investigate the Hall current and Joule heating effects on peristaltic flow of a Sisko fluid through a porous medium. The streaming is through tapered artery with mild stenosis. The influences of radiative heat transfer and chemical reactions are taken in consideration. Convective conditions are considered for heat and mass transfer. However, the slip conditions are adopted for the velocity distribution. The combined effects of viscous dissipation and radiation in energy expression are presented. Soret and Dufour features produce the coupled differential systems. The presumptions of the long wavelength and low Reynolds number are adopted to examine the governing equations of motion. The analytical solutions of these equations are given by two methods. The first one uses regular perturbation technique, which based on small wave number for small artery. The second one is based on utilizing the Homotopy perturbation technique. The approximate analytical solutions of the pressure rise and friction force are predestined along a numerical integration. The influences of various physical parameters of the problem are debated and depicted graphically through a set of figures. It is found that the axial velocity increases with the increase of Hall current parameter and with the decrease of Hartmann number. Also, it can be observed that the Brickmann number and Dufour number give rise to the fluid temperature. Meanwhile, reverse effect is observed towards concentration for both Schmidt number and chemical reaction number. Furthermore, the stream lines are graphically shown.

Electromagnetic Hall current effect and fractional heat order for microtemperature photo-excited semiconductor medium with laser pulses

In this paper, the elastic semiconductor medium is exposed to outer laser pulses. The laser pulses cause vibrations in the inner structure of the medium with the time fractional heat order. Under the influence of strong external magnetic field, the effect of Hall current is appeared in this case the interaction between the strong magnetic field and microstructure (microelements) of the elastic medium is studied. The microtemperature states is generated due to photo-excited electrons in context of photothermal transport process. The one-dimensional (1D) deformation is used to describe the overlapping process between elastic-magneto-plasma-thermal distribution waves in case of semiconductor elastic rod. The governing equations are solved in Laplace integral transform domain in microelements field. Some external loads are applied at the outer free surface of the medium to obtain the physical quantities under investigation. To obtain the complete solutions of the physical quantities the numerical inversion technique of Laplace transform is used. The Hall current, fractional parameters and micro-temperature effect are presented graphically and discussed theoretically under the effect of laser pulses.