Hall Parameter Research Articles

Two layered immiscible flow of viscoelastic liquid in a vertical porous channel with Hall current, thermal radiation and chemical reaction

This investigation deals with the combined effects of Hall current, thermal radiation, heat source and chemical reaction on heat and mass characteristics in a vertical porous channel filled with a two layered viscoelastic liquid under the influence of oscillatory pressure gradient. The exact solution of the governing equations for the fluid velocity, temperature, and concentration are obtained by applying the regular perturbation method with appropriate boundary and interface conditions. The numerical values of the shear stress at the plates are shown in tabular form for various values of the relevant parameters, whereas those of the fluid velocity, temperature, concentration, and rate of heat transfer are displayed graphically. Our analysis indicates that with the raise of first-order chemical reaction and ratio of mass diffusion parameters, the temperature and concentration of the liquid raises. With the raise of Hall parameter the skin friction decreases at the walls of the channel. To validate the analytical results, a comparative study of the numerical evaluation of the closed-form results is performed with the results obtained by shooting technique along with the RK-fourth order method. Graphical results demonstrate that the imposed boundary and interface conditions are satisfied by the flow variables.

Peristalsis of Nanofluids via an Inclined Asymmetric Channel with Hall Effects and Entropy Generation Analysis

This study deals with the entropy investigation of the peristalsis of a water–copper nanofluid through an asymmetric inclined channel. The asymmetric channel is anticipated to be filled with a uniform permeable medium, with a constant magnetic field impinging on the wall of the channel. The physical effects, such as Hall current, mixed convection, Ohmic heating, and heat generation/annihilation, are also considered. Mathematical modeling from the given physical description is formulated while employing the “long wavelength, low Reynolds number” approximations. Analytical and numerical procedures allow for the determination of flow behavior in the resulting system, the results of which are presented in the form of tables and graphs, in order to facilitate the physical analysis. The results indicate that the growth of nanoparticle volume fraction corresponds to a reduction in temperature, entropy generation, velocity, and pressure gradient. The enhanced Hall and Brinkman parameters reduce the entropy generation and temperature for such flows, whereas the enhanced permeability parameter reduces the velocity and pressure gradient considerably. Furthermore, a comparison of the heat transfer rates for the two results, for different physical parameters, indicates that these results agree well. The significance of the underlying study lies in the fact that it analyzes the peristalsis of a non-Newtonian nanofluid, where the rheological characteristics of the fluid are predicted using the Carreau-Yasuda model and by considering the various physical effects.

Aspects of Arrhenius kinetics and Hall currents on gyratory Couette flow of magnetized ethylene glycol containing bi‐hybridized nanomaterials

AbstractIncomparable thermal features of hybrid nanofluids (NFs) have been well recognized. Hybrid nanomaterials are prolifically used in chemistry processes, enzyme nanotechnology, pharmaceutical manufacturing, and so on. Motivated by numerous novel applications, in the present article, a theoretical study is conducted to demonstrate a time‐dependent hydro‐magnetic Couette flow and heat transport features inside a gyrating channel filled with a reactive second‐grade hybrid NF (copper–alumina–ethylene glycol) and Darcian porous medium under multiparty impacts of Hall currents, temperature‐dependent thermal conductivity, and Arrhenius chemical reaction. The modeled momentum equations are rendered nondimensional and solved analytically by means of the sophisticated Laplace transform technique. ND Solver in Mathematica is deployed to estimate the numerical solution of the energy equation. The computational outcomes are plotted and interpreted via physical constraints using line graphs and tables. The graphical outcomes assert that Hall currents significantly modify the gyratory flow dynamics and thermal features. The thermal profile and heat transfer rate manifest a diminishing pattern over widening Hall and rotation parameters. The change in thermal conductivity has a substantial impact on heat transmission. The novelty of the research study is a new insight into the hydro‐thermal manners of magnetized rotational non‐Newtonian hybrid NF.

Analytical Study of the Energy Loss Reduction during Three-Dimensional Engine Oil-Based Hybrid Nanofluid Flow by Using Cattaneo–Christov Model

In this work, we analyzed the hybrid nanofluid (Ag+CuO+kerosene oil) flow past a bidirectionally extendable surface in the presence of a variable magnetic field. The hybrid nanofluid flow considered is electrically conductive and steady. For the simulation of the problem, the Cattaneo–Christov double-diffusion (CCDD) model was considered, which generalizes Fourier’s and Fick’s laws. The impact of the Hall current produced was taken into account. The physical problem was transformed into a mathematical form with the help of suitable transformations to reduce the complexity of the problem. The transformed system of coupled ordinary differential equations (ODEs) was solved with the semi-analytical method. The results are plotted in comparison with the ordinary nanofluid (CuO+kerosene oil) and hybrid nanofluid (Ag+CuO+kerosene oil). The impact of various parameters (Pr,Sc,γ0,m,M,Nb,Nt,ϵ1,ϵ2) on the state variables is described. The velocity gradient under the impact of the mass flux and magnetic parameter shows a decreasing behavior, while the Hall parameter and the stretching ratio show an increasing behavior. Moreover, the skin friction, rate of heat, and mass transfer are numerically displayed through tables. In this work, we found that the thermal and concentration relaxation coefficients showed a decreasing behavior for their increasing trends. For the validation of the implemented technique, the squared residuals are computed in Table 2, which shows that the increasing number of iterations decreases the squared residual error. The results show that Ag+CuO+kerosene oil has good performance in the reduction of the heat transfer rate.

Combine influence of Hall effects and viscous dissipation on the motion of ethylene glycol conveying alumina, silica and titania nanoparticles using the non-Newtonian Casson model

<abstract> <p>A vital role of ternary hybrid nanofluid is visualized as a significant improvement of thermal performance and enhancement in thermal rate which is applicable in automobiles for coolant process, thermodynamics of fuel. This process of ternary hybrid nanofluid is utilized to enhance maximum performance of thermal energy and applicable in chemical products, solar power, melting process, wire paintings, biological products, solar system, cooling process, glasses melting, glass fiber, metal grinding etc. Three-dimensional motion of ternary hybrid nanoparticles in partially Casson fluid over a vertical stretching surface is addressed using Darcy's Forchheirmer theory. Further, effects of Joule heating, non-uniform thermal radiation and viscous dissipation are considered in the energy equation and motion of ethylene glycol contains alumina, silica, and titania nanoparticles with various shape effects. Similarity variables are utilized to derive the system of ODEs from PDEs. A system of ODEs is numerically solved by a finite element method. It was concluded that the thermal field for platelet nanoparticles is greater than the thermal field for cylindrical nanoparticles. Nusselt number increases versus change in ion slip, Hall and magnetic parameters. Maximum production of heat energy is obtained for the case of tri-hybrid nanomaterial rather than for the case of hybrid nanomaterial.</p> </abstract>

Numerical simulation of nanofluid flow due to a stretchable rotating disk

In this study, a steady magnetohydrodynamic (MHD) flow due to stretchable rotating disk in the presence of gyrotactic microorganisms is investigated. The governing equations modeling the flow are solved numerically using the newly introduced simple iteration method (SIM) that seeks to linearize a system using relaxation technique that effectively decouples the system. To verify the convergence and accuracy of the method, solution error and residual error analysis are carried out, respectively. The obtained results suggest that the SIM is a highly efficient method that produces convergent and highly accurate solutions. The effects of various parameters as well as combined parameter effects on the solution profiles are also investigated. An increase in the Hall and permeability parameters leads to a corresponding rise in the microorganism?s density and nanoparticle volume fraction.

Hall and Ion Slip Impacts on Unsteady MHD Convective Flow of Ag-TiO2/WEG Hybrid Nanofluid in a Rotating Frame

Background: The radiative magnetohydrodynamic (MHD) flow of an incompressible viscous electrically conducting hybrid nanofluid over an exponentially accelerated vertical surface under the influence of slip velocity in a rotating frame taking Hall and ion slip impacts is discussed. Methods: Water and ethylene glycol mixture have been considered as a base fluid. A steady homogeneous magnetic field is applied under the assumption of a low magnetic Reynolds number. The ramped temperature and time-varying concentration at the surface are taken into consideration. The first-order consistent chemical reaction and heat absorption are also regarded. Silver (Ag) and titania (TiO2) nanoparticles are disseminated in base fluid water and ethylene glycol mixture to be formed a hybrid nanofluid. The Laplace transformation technique is employed on the non-dimensional governing equations for the closed form solutions. Results: The phrases for non-dimensional shear stresses, rates of heat, and mass transfer are also evaluated. The graphical representations are presented to scrutinize the effects of physical parameters on the significantflow characteristics. The computational values of the shear stresses, rates of heat and mass transports near the surface are tabulated by a range of implanted parameters. Conclusion: The resultant velocity grows by an increase in thermal and concentration buoyancy forces, Hall and ion-slip parameters, whereas rotation and slip parameters have overturn outcome on them. The temperature of hybrid Ag-TiO2/WEG nanofluid is relatively superior to that of Ag-WEG nanofluid. Species concentration of hybrid Ag-TiO2/WEG nanofluid decreases due to an increase in Schmidt number and chemical reaction parameter.

Hall and Joule Heating Impacts on the Rabinowitsch Fluid in a tapered Channel with Permeable Walls

A mathematical model was created to study the influences of Hall current and Joule heating with wall slip conditions on peristaltic motion of Rabinowitsch fluid model through a tapered symmetric channel with Permeable Walls. The governing equations are simplified under low Reynolds number and the long-wavelength approximations. The perturbation method is used to solve the momentum equation. The physiological phenomena are studied for a certain set of pertinent parameters. The effects offered here show that the presence of the hall parameter, coefficient of pseudo-plasticity, and Hartman number impact the flow of the fluid model. Additional, study reveals that a height in the Hall parameter and the velocity slip parameter increases the trapping bolus's apparition. Furthermore, the magnitude of the trapped bolus can be reduced by enhancing the magnetic field.

Hydromagnetic free convection flow in a vertical microporous channel with Hall current and ion-slip effect

AbstractIn the present work, steady-state hydromagnetic analysis and flow formation of Newtonian viscous fluid through a vertical microporous channel is studied theoretically. The transport governing equations include the effect of Hall current and ion-slip effects in the microchannel slip regime. Unlike the usual employed thermal properties of constant heat flux/temperature at the boundary, the current work assumes that the microporous walls are influenced by different surrounding wall temperatures. Solution to the governing equations depending on Prandtl number, rarefaction parameter, Hall current parameter, ion-slip parameter, Hartmann number and suction/injection parameter are obtained by utilizing the method of undetermined coefficient. Results demonstrating the effect of these parameters on different flow features are presented graphically in MATLAB. The results reveal that in the simultaneous occurrence of Hall and ion-slip currents, higher values of rarefaction parameter enhance the momentum boundary layer in both primary and secondary flow directions. In addition, results from this analysis also reveal that the main component of fluid velocity remains unaffected to higher values of Hall current, whereas it decreases along the induced flow directions. Furthermore, for a specific value of Hall parameter and ion-slip current, injection weakens the buoyancy drive resulting in a reduction in volume flow rate. The contrast is true with suction.

Hall and ion slip effects on hybrid nanoparticles (Au-GO/blood) flow through a catheterized stenosed artery with thrombosis

Present paper deals with the effect of Hall and ion slips on MHD blood flow through a catheterized multi-stenosis artery with thrombosis. Blood is considered a base fluid, and the suspension of Au and GO nanoparticles are used to form the hybrid nano-blood suspension. The hemodynamic mathematical model is presented to mimic the blood flow inside the artery subjected to Joule heating, thermal radiation, Hall and ion slip effects. The effect of the shape of nanoparticles and the variable viscosity depending upon hematocrit is taken into account. The mathematical model is presented in a curvilinear coordinate system, and a mild stenosis assumption is used to get the closed-form solutions. The reduced governing equations are solved using the Crank Nicholson scheme with “MATLAB.” The effect of various pertinent parameters on flow patterns are illustrated graphically. It is observed that increasing the Hall and ion slips parameter causes the increment in the fluid velocity due to an enhancement in the cyclotron frequency of the particles. The hybrid nanoparticles Au-GO/blood has a higher temperature profile than pure blood and unitary nanoparticles, as the thermal conductivity increases with an increase in nanoparticle concentration. Scientists and clinical researchers may find the present study useful in understanding the various illness’s conditions, including cancers, infections, and the removal of blood clots. Furthermore, current research may be helpful in the biomedical area, such as magnetic resonance angiography (MRA), which creates an image of an artery to identify any abnormalities in the artery. The current findings are consistent with recent findings in earlier blood flow research studies.

MHD convective rotating flow of viscoelastic fluid past an infinite vertical oscillating porous plate with Hall effects

AbstractIt is considered the unsteady and incompressible magnetohydrodynamic rotating free convection flow of viscoelastic fluid with simultaneous heat and mass transfer near an infinite vertical oscillating porous plate under the influence of uniform transverse magnetic field and taking Hall current into account. The governing equations of the flow field are then solved by a regular perturbation method for a small elastic parameter. The expressions for the velocity, temperature, and concentration have been derived analytically and also its behavior is computationally discussed with reference to different flow parameters with the help of graphs. The skin friction on the boundary, the heat flux in terms of the Nusselt number, and the rate of mass transfer in terms of the Sherwood number are also obtained and their behavior discussed. The resultant velocity enhances with increasing Hall parameter and rotation parameter. The reversal behavior is observed with increasing viscoelastic parameters. The resultant velocity enhances and experiences retardation in the flow field with increasing radiation parameters, whereas the secondary velocity component increases with increasing rotation parameters. The temperature diminishes as the Prandtl number and/or the frequency of oscillations. The concentration reduces at all points of the flow field with the increase in the Schmidt number.

Numerical investigation of heat transfer & hall effects on MHD nanofluid flow past over an oscillating plate with radiation

The effects of convective heat generation and the oscillatory motion of a plate in the presence of MHD, Alumina nanofluid flow, thermal radiation, and Hall current are considered. The plate oscillates harmonically in its axes with uniform temperature. The dimensional equations have to be changed into non-dimensional equations with a set of dimensionless parameters. The Laplace transformation technique is utilized to get an exact solution. The possessions of velocity and temperature are analyzed with several parameters like Prandtl number (Pr), Grashof number (Gr), Hall parameter (m), magnetic parameter (M), radiation (R), solid volume fraction(ᵠ), phase angle(ω).The influence of primary and secondary velocity is discussed by the graph. It is observed that the increment of Hall parameter (m) diminishes the primary velocity, an increment of Grashof number leads to an increase in both velocities, and increasing solid volume fraction raises the temperature. The Nusselt number and skin friction coefficient values have expressed in the table. It is apparent that an increment of radiation increased the value of the Nusselt number and also an increment of phase angle value diminished the skin friction coefficient value.

Analyses of electrokinetic energy conversion for periodic electromagnetohydrodynamic (EMHD) nanofluid through the rectangular microchannel under the Hall effects

Abstract Two-dimensional electromagnetohydrodynamic behavior of nanofluids through rectangular microchannels is investigated. The combined effects of time-periodic pressure gradients and magnetic fields in terms of the Hall effects on nanofluid flow are considered. Under the Debye–Hückel linearization approximation, the semi-analytic solution of the velocity field is derived by Green’s function method. Furthermore, the semi-analytic solutions of electrokinetic energy conversion (EKEC) efficiency and the streaming potential of nanofluids through the rectangular microchannels are obtained. The variations of the velocity, streaming potential, and EKEC efficiency with the electric double layer thickness K, Hartmann number Ha, Hall parameter m, and dimensionless frequency Ω are shown and briefly discussed.

Hall Current and Soret Effects on Unsteady MHD Rotating Flow of Second-Grade Fluid through Porous Media under the Influences of Thermal Radiation and Chemical Reactions

The unsteady MHD free convection heat and mass transfer flow of a viscous, incompressible, and electrically conducting fluid passing through a vertical plate embedded in a porous medium in the presence of chemical reactions and thermal radiation is investigated. The effects of the Hall current, rotation and Soret are studied. Using the perturbation approach, one can obtain an accurate analytical solution to the governing equations for the fluid velocity, fluid temperature, and species concentration, provided that the initial and boundary conditions are acceptable. It is possible to obtain expressions for the shear stress, rate of heat transfer, and rate of mass transfer for both plates with the ramping temperature and isothermal conditions. On the one hand, the numerical values of the primary and secondary fluid velocities, fluid temperature, and species concentration are presented graphically. On the other hand, the numerical values of the shear stress and rate of mass transfer for the plate are presented in tabular form for various values of the relevant flow parameters. These values are given for a range of pertinent flow parameters. It was determined that an increase in the Hall and Soret parameters over the whole fluid area leads to a corresponding increase in the resulting velocity. The resultant velocity continually climbs to a high level due to the contributions of the thermal and solute buoyancy forces. Lowering the heat source parameter reduces the temperature distribution, resulting in a lower overall temperature. When there is a rise in the chemical reaction parameter over the whole fluid area, there is a corresponding decrease in the concentration. The concentration buoyancy force, Hall current, and Prandtl number reduce the skin friction. On the other hand, the permeability of the porous medium, rotation, chemical reaction, the Soret number, thermal buoyancy force, and mass diffusion all have the opposite effects on the skin friction.

Dynamics of Hall current and entropy generation in peristaltic transport of hybrid nanofluid

Improvement of high-performance thermal systems to enhance heat transfer has become quite prevalent these days. The main applications of hybrid nanofluids are found in heat exchangers, the automotive industry, solar energy, heat pipes, space, electronic cooling, nuclear systems cooling, HVAC applications, biomedicine, ships, and coolant in machining and manufacturing. Therefore, the present research investigates the generation of entropy for a peristaltic motion of hybrid nanofluid flowing through a symmetric channel under impacts of mixed convection, Hall currents, and Ohmic heating. Novel features of hybrid nanoparticles (copper and titanium oxide dispersed in water) are taken into account. Long wavelength and weaker Reynolds number assumptions are used to simplify the governing equations. Homotopy Analysis Method has been adopted to solve a non-linear system of differential equations. A comparative analysis of numerical scheme (NDSolve built-in command in Mathematica) and analytical methodology (HAM) for heat transmission rate at the boundary are also presented in tabular form. Graphical outcomes predict that entropy generation is reduced by improving the Hall parameter. Hybrid nanofluid temperature is reduced when the concentration of nanomaterials is increased. Heat transfer rates increase through an increment in hybrid nanoparticles. It is anticipated that the current flow model can be useful for enhancing the efficiency of such thermodynamic systems.

Second order slip flow of a conducting Jeffrey nanofluid in an inclined asymmetric porous conduit with heat and mass transfer

PurposeThe present work explores the influence of Hall and Ohmic heating effects on the convective peristaltic flow of a conducting Jeffrey nanofluid in an inclined porous asymmetric channel with slip. Also, the authors investigated the impact of viscous dissipation, thermal radiation, heat generation/absorption and cross diffusion effects on the flow. Peristaltic flow has many industrial and physiological applications and most of the biofluids show the non-Newtonian fluid behaviour. Further, in a living body, several biofluids flow through different kinds of systems that are not symmetric, horizontal or vertical. The purpose of this paper is to address these issues.Design/methodology/approachThe authors considered the flow of Jeffrey fluid which is generated by a sinusoidal wave propagating on the walls of an inclined asymmetric channel. The flow model is developed from the fixed frame to the wave frame. Finally, yield the nonlinear governing equations by applying the non-dimensional quantities with the assumptions of lengthy wave and negligible Reynolds number. The exact solution has been computed for the velocity and pressure gradient. The solutions for temperature and concentration are obtained by the regular perturbation technique.FindingsGraphical analysis is made for the present results for different values of emerging parameters and explained clearly. It is noticed that the magnetic field enriches the temperature where it drops the fluid velocity. This work describes that the temperature field is decreasing due to the radiation but it is a rising function of temperature slip parameter. The temperature profile declines for growing values of the Hall parameter. The flow velocity diminishes for boosting values of the Darcy parameter. Further, the authors perceived that the concentration field reduces for large values of the chemical reaction parameter.Originality/valueThe authors validated and compared the results with the existing literature. This investigation will help to study some physiological systems, and heat transfer in peristaltic transport plays key role in medical treatments, so we ensure that these results are applicable in medical treatments like cancer therapy, drug delivery, etc.

An unsteady MHD flow of a second‐grade fluid passing through a porous medium in the presence of radiation absorption exhibits Hall and ion slip effects

AbstractIn the presence of radiation absorption, we analyzed the effects of Hall and ion slip effects on an unsteady laminar magnetohydrodynamics convective rotating flow of heat‐producing or absorbing second‐grade fluid across an inclined moving permeable surface in the presence of chemical reaction and radiation absorption. Using the perturbation method, the nondimensional equations for the governing flow are solved to the most excellent conceivable investigative answer. The effects of various factors on velocity, temperature, and concentration are visually and explored in depth. Shear stresses, Nusselt number, and Sherwood number are calculated analytically, rendered computationally in a tabular style, and discussed concerning the essential characteristics for engineering inquiry. It is inferred that an increase in radiation absorption, Hall, and ion slip parameters across the fluid area leads to a rise in the resulting velocity. The thermal and solutal buoyancy forces contribute to the resultant velocity, constantly growing to a very high level. The rotation parameter is used to reduce skin friction, while the Hall and ion slip effects enhance it. The rate of mass transfer increases when the chemical reaction parameter is raised.

Recent Development of Heat and Mass Transport in the Presence of Hall, Ion Slip and Thermo Diffusion in Radiative Second Grade Material: Application of Micromachines.

This article describes the incompressible two-dimensional heat and mass transfer of an electrically conducting second-grade fluid flow in a porous medium with Hall and ion slip effects, diffusion thermal effects, and radiation absorption effects. It is assumed that the fluid is a gray, absorbing–emitting but non-scattering medium and the Rosseland approximation is used to describe the radiative heat flux in the energy equation. It is assumed that the liquid is opaque and absorbs and emits radiation in a manner that does not result in scattering. It is considered an unsteady laminar MHD convective rotating flow of heat-producing or absorbing second-grade fluid across a semi-infinite vertical moving permeable surface. The profiles of velocity components, temperature distribution, and concentration are studied to apply the regular perturbation technique. These profiles are shown as graphs for various fluid and geometric parameters such as Hall and ion slip parameters, radiation absorption, diffusion thermo, Prandtl number, Schmidt number, and chemical reaction rate. On the other hand, the skin friction coefficient and the Nusselt number are determined by numerical evaluation and provided in tables. These tables are then analysed and debated for various values of the flow parameters that regulate it. It may be deduced that an increase in the parameters of radiation absorption, Hall, and ion slip over the fluid region increases the velocity produced. The resulting momentum continually grows to a very high level, with contributions from the thermal and solutal buoyancy forces. The temperature distribution may be more concentrated by raising both the heat source parameter and the quantity of radiation. When one of the parameters for the chemical reaction is increased, the whole fluid area will experience a fall in concentration. Skin friction may be decreased by manipulating the rotation parameter, but the Hall effect and ion slip effect can worsen it. When the parameter for the chemical reaction increases, there is a concomitant rise in the mass transfer rate.

A computational study on diffusion-thermo and rotation effects on heat generated mixed convection flow of MHD Casson fluid past an oscillating porous plate

A finite element computational study is conducted to evaluate the impacts of diffusion-thermo and rotation on time-dependent heat generated MHD chemically reactive mixed-convection Casson fluid transport due to an oscillatory porous plate considering ramp surface temperature with thermal radiation and Hall effects. The boundary-layer equations describing the flow are formulated and altered into dimensionless form with aid of non-dimensional variables and parameters. The resulting governing boundary layer equations are numerically solved by a precise and robust finite element method. A representationary set of outcomes is exhibited graphically to exemplify the influent of emerging parameters on the profiles of temperature, concentration and velocity. The computed results of shearing stresses, Nusselt and the Sherwood numbers are displayed in the tables. We found that both velocity components decreased as magnetic field, rotation and Casson parameters increased whereas opposite result is discovered as heat generation and Hall parameter increased. Thickness of thermal and momentum boundary layers improve with increment in thermal radiation. Increasing chemical reaction parameter reduces both concentration and momentum boundary layer thickness. It is prominent to highlight in this investigation, in case of isothermal plate temperature, both velocity components, concentration and temperature are higher than in case of ramped surface temperature. Further, our results compared with earlier published works and established to be in excellent conformity.

Hall effects on magnetohydrodynamic rotating flow through porous medium in a parallel plate channel with various oscillations of pressure gradient

AbstractWe explored the unsteady flow of an incompressible electrically conducting viscous fluid in a gyratory porous medium with a changeable pressure gradient by taking Hall currents into account. The governing equations are then solved analytically with the help of the Laplace transforms methodology. It is regarded as three dissimilar cases, namely, an impulsive change, cosine as well as sine oscillations of the pressure gradient. The physical significances of different dimensionless parameters on velocity distributions are explored analytically and computationally. It is observed that a thin boundary layer is formed near the plate of the channel and the thicknesses of the layer increase with the increase in either the Hall parameter or Reynolds number while it decreases with an increase in Hartmann number. It is interesting to note that the rotation and Lorentz forces are having noteworthy effects on velocity profiles with pressure gradient and Hall currents.