Hall Current Parameter Research Articles

Effects of Hall Current and Rotation in a Fractional Ordered Magneto-Micropolar Thermoviscoelastic Half-Space Due to Ramp-Type Heat

Present work studies a two dimensional problem in a rotating magneto-micropolar thermoviscoelastic medium under a ramp type heating. The interaction due to viscosity, hall current and rotation are explored by using theory of fractional order thermoelasticity given by Sherief et al. (Int J Solids Struct 47(2):269–275, 2010). Analytical–numerical technique based on Laplace and Fourier transform has been employed to solve the resulting non–dimensional coupled field equations. Using numerical inversion technique the components of displacement, stress and temperature distribution are obtained in the physical domain. Numerical computed values of stresses and temperature fields are presented graphically to capture the effects of viscosity, hall current, rotation and fractional order parameter.

Deformation in a nonlocal magneto-thermoelastic solid with hall current due to normal force

The present article is concerned about the study of disturbances in a homogeneous nonlocal magneto-thermoelastic medium under the combined effects of hall current, rotation and two temperatures. The model under assumption has been subjected to normal force. Laplace and Fourier transform have been used for finding the solution to the field equations. The analytical expressions for conductive temperature, stress components, normal current density, transverse current density and displacement components have been obtained in the physical domain using a numerical inversion technique. The effects of hall current and nonlocal parameter on resulting quantities have been depicted graphically. Some particular cases have also been figured out from the current work. The results can be very important for the researchers working in the field of magneto-thermoelastic materials, nonlocal thermoelasticity, geophysics etc.

Thermomechanical interactions in transversely isotropic magneto-thermoelastic medium with fractional order generalized heat transfer and hall current

This investigation is focused on the study of thermomechanical interactions in homogeneous transversely isotropic magneto thermoelastic medium with fractional order heat transfer and hall current. As an application, the bounding surface is subjected to normal force with weak, normal and strong conductivity. Laplace and Fourier transform is used for solving field equations. The analytical expressions of temperature, displacement components, stress components, and current density components are computed in the transformed domain. The effects of hall current and fractional order parameters by varying different values are represented graphically. Some specific cases are also figured out from the current research.

Influence of heat source/sink on MHD flow between vertical alternate conducting walls with Hall effect

The key object of this article is to present the impact of heat source/sink and Hall current on the completely advanced natural convection flow of a viscous incompressible and electrically conducting fluid through a vertical channel with the condition that one wall is conducting and other is non-conducting. The resulting system of non-dimensional linear equations has been examined with the help of theory of simultaneous differential equations. Finally, we have found the expressions for the fluid velocity, induced magnetic field and temperature field in the compact form. Also, we have derived the induced current density from induced magnetic field and with the help of velocity we found skin friction and rates of mass flow. The obtained results are presented through graphs for distinct values of the Hartmann number, Hall current and heat source/sink parameters. It is noted that the impact of the Hartmann number is to reduce the parts of the velocity and induced current density but improve the constituents of induced magnetic field. Further, the increase of the Hall current parameter leads to enhancement and reduces the primary and secondary constituents of the velocity and induced magnetic field respectively. The Hall current gives rise to a cross flow and the variable fluid properties have strong effects on the shear stress and the Nusselt number. Hall current is applicable in Hall accelerators, Hall effect sensors and constrictions of turbines, etc.

Effects of Hall Current and Magnetic Field Inclination on Hydromagnetic Natural Convection Flow in a Micro-Channel With Asymmetric Thermal Boundary Condition

AbstractThis study examines the impact of induced magnetic field and Hall current on steady fully developed hydromagnetic natural convection flow in a micro-channel under the action of an inclined magnetic field. The mathematical model responsible for the present physical situation is presented in a dimensionless form under relevant boundary conditions. The governing coupled equations are solved exactly. A parametric study of some physical parameters is conducted and a representative set of numerical results for the velocity field, the induced magnetic field, induced current density, volume flow rate, and skin friction on the micro-channel surfaces are illustrated graphically. It is observed that magnetic field inclination plays an important role in flow formation inside the micro-channel. Numerical computation reveals that the increase in inclination angle reduces the hydromagnetic drag leading to enhancement in primary fluid velocity, while the impact is just converse on the secondary fluid velocity. Furthermore, the increase in Hall current parameter increases the magnitude of the fluid velocity in both primary and secondary flow directions.

A Paired Quasi-linearization on Magnetohydrodynamic Flow and Heat Transfer of Casson Nanofluid with Hall Effects

Present study explores the effect of Hall current, non-linear radiation, irregular heat source/sink on magnetohydrodynamic flow of Casson nanofluid past a nonlinear stretching sheet. Viscous and Joule dissipation are incorporated in the energy equation. An accurate numerical solution of highly nonlinear partial differential equations, describing the flow, heat and mass transfer, by a new Spectral Paired Quasi-linearization method is obtained and effect of various physical parameters such as hall current parameter, radiation parameter, Eckert number, Prandtl number, Lewis number, thermophoresis parameter and Brownian motion parameter on the thermal, hydro-magnetic and concentration boundary layers are observed. The analysis shows that variation of different thermo-magnetic parameter induces substantial impression on the behaviour of temperature and nanoparticle distribution. Thermal boundary layer is greatly affected by conduction radiation parameter.

Combined effects of Hall and ion-slip current on MHD free convection flow in a vertical micro-channel

Theoretic analysis on buoyancy-driven flow of conducting fluid in a vertical micro-channel taking into consideration the effect of Hall and ion-slip current is investigated. The micro-channel walls are assumed to be heated asymmetrically and flow is induced by buoyancy forces. The governing couple equations are solved exactly using the method of undetermined coefficient. Solutions are presented in dimensionless form. Effect of rarefaction parameter, Hartmann number, Hall current parameter and ion-slip parameter on fluid velocity, volume flow rate and skin friction along primary along primary and secondary flow directions are discussed.

Effect of hall current on propagation of plane wave in transversely isotropic thermoelastic medium with two temperature and fractional order heat transfer

This research is devoted to the study of plane wave propagation in homogeneous transversely isotropic magneto-thermoelastic rotating medium with combined effect of hall current and two temperature. The research is applied to fractional order theory with three-phase lag heat transfer. It is analysed that, for 2-D assumed model, three types of coupled longitudinal waves (quasi-longitudinal, quasi-transverse and quasi-thermal) are present. The wave characteristics like phase velocity, specific loss, attenuation coefficients, energy ratios, penetration depths and amplitude ratios of transmitted and reflected waves are computed numerically and illustrated graphically. The impact of hall current parameter by taking different values is represented graphically. Some particular cases are also derived from this research.

Effect of Hall Current on Unsteady Magneto Hydrodynamic Flow Past an Exponentially Accelerated Inclined Plate with Variable Temperature and Mass Diffusion

The present study is carried out to examine the effect of Hall current on unsteady flow of a viscous, incompressible and electrically conducting fluid past an exponentially accelerated inclined plate with variable wall temperature and mass diffusion in the presence of transversely applied uniform magnetic field. The plate temperature and the concentration level near the plate increase linearly with time. The governing equations involved in the present analysis are solved by the Laplace-transform technique. The velocity profile is discussed with the help of graphs drawn for different parameters like thermal Grashof number, mass Grashof number, Prandtl number, Hall current parameter, acceleration parameter, the magnetic field parameter and Schmidt number, and the numerical values of skin-friction have been tabulated. It is observed that the flow pattern is affected significantly with plate acceleration, Hall current. The importance of the problem can be seen in cooling of electronic components of a nuclear reactor, bed thermal storage and heat sink in the turbine blades.

A numerical treatment of unsteady three-dimensional hydromagnetic flow of a Casson fluid with Hall and radiation effects

Abstract The study of the unsteady magnetohydrodynamic three-dimensional radiative flow of a viscous incompressible electrically conducting Casson liquid along a stretching surface including the effects of Hall current is presented in this article. The fluid flow model consists of time-dependent partial differential equations which are highly non-linear. Similarity transformations are utilized to obtain ordinary differential equations in similarity form. Further, a numerical approach, namely spectral quasilinearization method (SQLM), is used to solve resulting highly nonlinear ordinary differential equations. A detailed analysis is carried out to study the influences of significant parameters, such as Casson liquid parameter, Hall current parameter, magnetic parameter, unsteadiness parameter, radiative parameter, on the profiles’ of the velocity field and temperature field. The behavior of emerging quantities of engineering interest such as skin friction coefficient and the Nusselt number is also studied. Fluid flow model as presented in the paper finds applications in silicon suspensions, blood flow, polymer engineering, and printing industry.

Effect of hall current in Transversely Isotropic magneto thermoelastic rotating medium with fractional order heat transfer due to normal force

This investigation is focused on the study of effect of hall current in transversely isotropic magneto thermoelastic homogeneous medium with fractional order heat transfer and rotation. As an application the bounding surface is subjected to normal force. The research becomes more interesting due to interaction of Hall current with the effect of rotation as it has found various applications. Laplace and Fourier transform is used for solving field equations. The analytical expressions of temperature, displacement components, stress components and current density components are computed in the transformed domain. The effects of hall current and fractional order parameter at different values are represented graphically.

Hall current, Newtonian heating and second-order slip effects on convective magneto-micropolar fluid flow over a sheet

This research deals with an analysis of the Hall current effect on the mixed convective magneto-micropolar fluid flow over a permeable stretching/shrinking sheet. Impact of the Newtonian heating parameter is analyzed in the slip flow regime. The nonlinear equations of the fluid flow are derived with the help of a similarity transform and its solutions are obtained by Optimal Homotopy Analysis Method (OHAM). For limiting cases, obtained results are in excellent agreement with the available exact and numerical results in the literature. The graphical and tabular representations of the obtained results show significant effects of the physical parameters on the magneto-micropolar fluid flow and heat transfer characteristics. In particular, it is observed that, as the sheet stretches, a change in the Hall current parameter yields a higher horizontal velocity component for the lower value of the magnetic field parameter; while it produces a higher and shorter transverse velocity profile at high intensity of the magnetic field. In Magnetohydrodynamics (MHD) generators, Hall effects are an important consideration to analyze the heat transfer phenomenon with high temperature conducting fluids.

Slip and Hall Current Effects on Jeffrey Fluid Suspension Flow in a Peristaltic Hydromagnetic Blood Micropump

The magnetic properties of blood allow it to be manipulated with an electromagnetic field. Electromagnetic blood flow pumps are a robust technology which provide more elegant and sustainable performance compared with conventional medical pumps. Blood is a complex multi-phase suspension with non-Newtonian characteristics which are significant in microscale transport. Motivated by such applications, in the present article, a mathematical model is developed for magnetohydrodynamic pumping of blood in a deformable channel with peristaltic waves. A Jeffery’s viscoelastic formulation is employed for the rheology of blood. A two-phase fluid-particle (“dusty”) model is utilized to better simulate suspension characteristics (plasma and erythrocytes). Hall current and wall slip effects are incorporated to achieve more realistic representation of actual systems. A two-dimensional asymmetric channel with dissimilar peristaltic wave trains propagating along the walls is considered. The governing conservation equations for mass, fluid and particle momentum are formulated with appropriate boundary conditions. The model is simplified using long wavelength and creeping flow approximations. The model is also transformed from the fixed frame to the wave frame and rendered non-dimensional. Analytical solutions are derived. The resulting boundary value problem is solved analytically, and exact expressions are derived for the fluid velocity, particulate velocity, fluid/particle fluid and particulate volumetric flow rates, axial pressure gradient, pressure rise and skin friction distributions are evaluated in detail. Increasing Hall current parameter reduces bolus growth in the channel, particle-phase velocity and pressure difference in the augmented pumping region, whereas it increases fluid phase velocity, axial pressure gradient and pressure difference in the pumping region. Increasing the hydrodynamic slip parameter accelerates both particulate and fluid phase flow at and close to the channel walls, enhances wall skin friction, boosts pressure difference in the augmented pumping region and increases bolus magnitudes. Increasing viscoelastic parameter (stress relaxation time to retardation time ratio) decelerates the fluid phase flow, accelerates the particle-phase flow, decreases axial pressure gradient, elevates pressure difference in the augmented pumping region, and reduces pressure difference in the pumping region. Increasing drag particulate suspension parameter decelerates the particle-phase velocity, accelerates the fluid phase velocity, strongly elevates axial pressure gradient and reduces pressure difference (across one wavelength) in the augmented pumping region. Increasing particulate volume fraction density enhances bolus magnitudes in both the upper and lower zones of the channel and elevates pressure rise in the augmented pumping region.

Hall Current and Joule Heating Effects on Flow of Couple Stress Fluid with Entropy Generation

In this work, an analytical study of the effects of Hall current and Joule heating on the entropy generation rate of couple stress fluid is performed. It is assumed that the applied pressure gradient induces fluid motion. At constant velocity, hot fluid is injected at the lower wall and sucked off at the upper wall. The obtained equations governing the flow are transformed to dimensionless form and the resulting nonlinear coupled boundary value problems for velocity and temperature profiles are solved by Adomian decomposition method. Analytical expressions for fluid velocity and temperature are used to obtain the entropy generation and the irreversibility ratio. The effects of Hall current, Joule heating, suction/injection and magnetic field parameters are presented and discussed through graphs. It is found that Hall current enhances both primary and secondary velocities and entropy generation. It is also interesting that Joule heating raises fluid temperature and encourages entropy production. On the other hand Hartman number inhibited fluid motion while increase in suction/injection parameter resulted into a shift in flow symmetry.

Thermal-diffusion and diffusion-thermo effects on MHD natural convective flow through porous medium in a rotating system with ramped temperature

PurposeThe purpose of this paper is to analyze the thermal-diffusion and diffusion-thermo effects on magnetohydrodynamics (MHD) natural convective flow through porous medium in a rotating system with ramped temperature.Design/methodology/approachUsing the non-dimensional variables, the flow governing equations along with corresponding initial and boundary conditions have been transformed into non-dimensional form. These non-dimensional partial differential equations are solved by using finite element method. This method is powerful and stable. It provides excellent convergence and flexibility in providing solutions.FindingsThe effects of Soret number, Dufour number, rotation parameter, magnetic parameter, Hall current parameter, permeability parameter, thermal Grashof number, solutal Grashof number, Prandtl number, thermal radiation parameter, heat absorption parameter, Schmidt number, chemical reaction parameter and time on the fluid velocities, temperature and concentration are represented graphically in a significant way and the influence of pertinent flow governing parameters on the skin frictions and Nusselt number are presented in tabular form. On the other hand, a comparison for validation of the numerical code with previously published work is performed, and an excellent agreement is observed for the limited case existing literature.Practical implicationsA very useful source of information for researchers on the subject of MHD flow through porous medium in a rotating system with ramped temperature.Originality/valueThe problem is moderately original, as it contains many effects like thermal-diffusion (Soret) and diffusion-thermo (Dufour) effects and chemical reaction.

Hydromagnetic flow of a variable viscosity nanofluid in a rotating permeable channel with hall effects

The flow, heat and mass transfer of water-based nanofluid are examined between two horizontal parallel plates in a rotating system. The effects of Brownian motion, thermophoresis, viscosity and Hall current parameters are considered. The governing partial differential equations are reduced to ordinary differential equations that are then solved numerically using the Runge–Kutta–Fehlberg method. Validation of numerical solution is achieved with an exact solution of primary velocity and found to be in good agreement. Results show that both surfaces experience opposite behavior regarding skin friction, Nusselt and Sherwood numbers in both primary and secondary flows. These physical quantities depend upon dimensionless parameters and numbers.

Slip and Joule heating effects on radiative peristaltic flow of hyperbolic tangent nanofluid

The present investigation is devoted to the peristalsis of hyperbolic tangent fluid with nanoparticles. The study is carried out under the effect of thermal radiation and Joule heating. The Buongiorno model is employed to the nanofluid flow in a channel with compliant walls. Effect of Hall current is also considered. The boundaries of the channel satisfy slip conditions. The involved equations are simplified using long wavelength and low Reynolds number approximation. The consequences of Hall current, thermal radiation, Hartman number, Brownian motion, thermophoresis and slip parameters are examined numerically. It is notable that Hartman number and Hall parameter shows similar behavior on temperature but opposite behavior on the velocity.

Hall effects on MHD natural convection flow in a vertical microchannel

In this work, the steady fully developed magnetohydrodynamic natural convection flow in a vertical microchannel formed by two infinite vertical parallel plates due to asymmetric heating of parallel plates in the presence of Hall current is studied. Effects of velocity slip and temperature jump have been considered on the microchannel surfaces and exact solutions have been obtained for momentum and energy equations under relevant boundary conditions. The influence of each governing parameter such as Hall current parameter, Hartmann number, rarefaction parameter, fluid wall interaction parameter and wall-ambient temperature ratio on flow formation is discussed with the aid of graphs. The significant result from the study is that, increase in the value of rarefaction parameter leads to enhancement in volume flow rate. Furthermore, it is evident that volume flow rate is found to be increasing function of Hall current parameter.

Radiation Effect on MHD Flow Past an Inclined Plate With Variable Temperature and Mass Diffusion

ABSTRACT The present study is carried out to examine the effects of radiation and Hall current on unsteady natural convection flow of a viscous, incompressible and electrically conducting fluid past an impulsively started inclined plate under the influence of transversely applied uniform magnetic field. The governing equations involved in the present analysis are solved by the Laplace-transform technique. The results obtained are discussed with the help of graphs drawn for different parameters like thermal Grashof number, mass Grashof number, Prandtl number, Hall current parameter, radiation parameter, magnetic field parameter and Schmidt number. The numerical values obtained for skin-friction and Nusselt number have been tabulated. The results obtained are in agreement with the actual flow phenomenon. The motive of this study is to analyze radiation and the Hall effect on the flow model. In the study, we found that the velocity in the boundary layer increases with the values of radiation and Hall current parameters. It is also observed that radiation and the Hall current increases the drag at the plate surface.

Thermo Diffusion and Hall Current Effects on an Unsteady Flow of a Nanofluid under the Influence of Inclined Magnetic Field

In this paper, we investigated the effects of hall current and thermal diffusion on an unsteady flow of a nanofluid in the presence of inclined magnetic field and volume fraction of nanoparticles. We considered copper nanoparticles with base fluid as water and presented dual solutions for water and Cu-water cases. An analytical solution of the problem was performed using perturbation technique. The effects of various non-dimensional governing parameters on velocity, temperature and concentration fields along with the friction factor, local Nusselt and Sherwood numbers are discussed and presented through graphs and tables. To validate the results of the present study we compared the present results with the existed results and found an excellent agreement. Moreover, through this study we observed that an increase in the Hall current parameter increases the velocity profiles and depreciates the friction factor. It is also observed that an increase in Soret number causes to enhance the velocity and concentration boundary layer thicknesses.