Hall Current Effects Research Articles

Exploring convective entropy optimization and activation energy impact on magneto-nanofluid flow over a vertical stretched plate with Hall current and nonlinear thermal radiation using SQLM

This paper investigates the profound impact of entropy generation and activation energy on the dynamics of hydromagnetic nanofluids, focusing on nonlinear thermal radiation, viscous and Ohmic dissipation, and Hall current effects over a linear stretching sheet. Various nanoparticles are incorporated into the nanofluid formulation using the thermophoresis and Brownian motion model. Through similarity transformation, the system of nonlinear equations is solved with high precision using the Spectral Quasilinearization Method (SQLM). Comprehensive analyses of velocity, cross-flow velocity, temperature, concentration, and entropy generation profiles are conducted for numerous physical parameters. Results indicate that velocity and cross-flow velocity increase with the Hall parameter while temperature and concentration profiles decrease. Both the velocity and cross-flow velocity profiles enhance for mixed convection parameters closer to the sheet, whereas the temperature and concentration profiles exhibit the contrary tendency. Prandtl number diminishes the profiles of horizontal velocity, cross-flow velocity and concentration distributions. Temperature distribution profile hikes for both the Brownian motion parameter and thermophoresis parameter. The activation energy parameter enhances the cross-flow velocity, with a corresponding decline in temperature distribution and a similar trend is observed in the concentration profile. Further, entropy generation profiles increase with higher Brinkman and Reynolds numbers while exhibiting mixed tendencies with the Schmidt number. These findings reveal that Hall current introduces complex interactions within the nanofluid flow, significantly influencing thermal, concentration, and entropy generation characteristics, particularly in magnetic fields and activation energy.

Radiation absorption, Hall and ion-slip current – driven MHD convection with spanwise cosinusoidally fluctuating temperature: a perturbative study

This study investigates the impact of radiation absorption, Hall and ion-slip current on magnetohydrodynamic free convective fluid flow past an infinite vertical porous plate with viscous dissipation and chemical reaction in the presence of Spanwise Cosinusoidally fluctuating temperature by time. Its significance extends across a wide array of applications, including advanced heat transfer systems for electronics, optimization of material processing kinetics, and fostering innovation for tailored material properties, with far-reaching implications spanning aerospace and renewable energy sectors. The governing equations, subject to stipulated boundary conditions are analyzed using the multiple regular perturbation method. The results are visually presented to evaluate the influence of various parameters on system dynamics. Graphical representations illustrate the physical significance of parameters including velocity, temperature, concentration, skin friction, mass transfer rate and heat transfer coefficients. The findings reveal that increased values of Hall and ion-slip current effects correlate with acceleration of velocity and skin friction. Moreover, higher radiation absorption parameter values lead to enhancements in velocity, temperature and Nusselt number. Conversely, different chemical reaction rates and Schmidt number values result in declines in velocity, concentration and Sherwood number. Additionally, incremental values of the Eckert number improve velocity and Nusselt number but have a reverse impact on temperature. The findings of this research align with those from prior examinations.

The effects of energy transfer and Hall currents on the instability of a viscous liquid sheet saturated in porous medium

Temporal instability theory is employed in the current study to examine the growth of anti-symmetric disturbances of a moving viscous fluid sheet embedded between two identical streaming perfect gas media. For simplicity, a two-dimensional model is offered without losing its generalization. A strong magnetic field (MF) is acted upon along with the normal direction of the plane of the model. The instability of a planar interface involving three liquids in permeable media yields major significance in geophysics and biomechanical. The novelty of this study is the thorough incorporation of many physical processes and approaches to examine the stability of liquid sheets in porous media. This investigation focuses on the impact of Hall currents and thermal effects. The findings of this study have significance for both basic comprehension and applications in practice. The contribution of the energy transmitted in the buoyancy condition, including the surface tension (ST), and restriction, is also reflected. The standard normal mode analysis is applied to achieve linear fundamental equations and the applicable boundary conditions (BCs). Therefore, the distributions of velocity, pressure, and temperature are calculated. The dimensionless examination reveals selected physical numerals. The impacts of these numerous physical features of the stability diagrams are established.

Activation energy, Rotational and Hall current Effects of Magnetohydrodynamic 3D flow of Non-Newtonian Hybrid Nanofluid over a Stretched Plate

Nanofluids are of great importance to researchers as they have significant uses industrially due to their high heat transfer rates. Recently, a new class of nanofluid, ‘‘hybrid nanofluid” is being used to further enhance the heat transfer rate. This new model in 3D is employed to examine the impact of activation energy, Rotational and hall current on a Non-newtonian hybrid Fe3O4/Al2O3 nanofluid flow over-stretched plate. Using similarity transformations, the controlling partial differential equations are turned into a set of nonlinear ordinary differential equations. For that system of equations, the shooting method is used to generate numerical solutions. The impact of various entry parameters on transversal and longitudinal velocities, temperature, heat flow and surface shear stress are studied numerically and graphically. A good correlation between the earlier studies is obtained in specific cases showing the convergence criteria of the present procedure. Further, the physical significance of the contributive parameters is presented through graphs and tables. The observation shows that the particle concentration for the hybrid nanofluid augments the fluid velocity. Moreover, the inclusion of dissipative heat favors enhancing the fluid temperature for the involvement of the particle concentration.

Peristaltic transport of diethylene glycol-based magnesium aluminate nanofluid under the effects of viscous dissipation and Hall current

ABSTRACT The fundamental importance of peristaltic phenomena in numerous biological systems, including dialysis, heart-lung machines, urine transportation, invertebrate locomotion, and the passage of gallbladder bile into the intestines, persuaded scientists to investigate the different aspects of it over the past few years. In addition, peristaltic pumping is an important consideration in industrial processes including, roller pumps used for the transport of sanitary materials, finger pumps, cell separation, and endoscopes. Keeping such inspirational applications in mind, the present investigation is dedicated to exploring the peristaltic transport of a Cross-magneto nanofluid through a curved geometry in the presence of heat transfer. The inspection of the heat transfer is conducted by utilizing variable viscosity and ohmic heating aspects. This study also retains the characteristics of viscous dissipation, heat generation/absorption, and thermal conductivity of nanofluids. Modeling of the 2D, incompressible Cross nanofluid with peristaltic movement is carried out using a curvilinear coordinate system. The basic equations of the problem are mPodeled in the light of physical laws and then simplified by adopting the lubrication theory. The solutions of the resulting nonlinear system are computed numerically. The outcomes of the related flow parameters on the nanofluid’s temperature, pressure gradient, velocity distribution, heat transfer, streamlines pattern, and stresses at the wall are discussed through graphs. The graphical results depict that the rates of heat transfer are augmented by increasing the curvature parameter, Hartmann number, and nanoparticles’ volume fraction while decreasing the Hall parameter and temperature-dependent viscosity parameter. Moreover, the nanofluid’s temperature increases by improving the values of the heat generation parameter, whereas it decreases for the Hall parameter. Furthermore, a reduction in the axial velocity occurs near the center of the channel, when Hartmann number attains higher values.

Investigation of convective peristaltic flow of non-Newtonian fluids through a non-uniform tapered porous conduit with Ohmic heating and viscous dissipation

ABSTRACT The study of convective magnetohydrodynamic (MHD) biofluid transport through a non-uniform duct is of interest due to its applications to biomedical devices and equipment. Because of this, a comparative study of free convective peristaltic flow of non-Newtonian (Casson and Jeffrey) fluids in a tapered porous symmetric duct with Hall current and viscous dissipation effects is carried out. The proposed dimensional governing equations are converted into a system of non-dimensional partial differential equations by invoking adequate non-dimensional parameters. Furthermore, a long-wavelength approximation is used to reduce the complexity of the system. Then the reduced system of partial differential equations is solved analytically using the regular perturbation method. The fascinating features of the influential parameters on the flow characteristics are demonstrated and analyzed in depth through graphs and tables. The results demonstrate that the velocity and temperature in the Jeffrey fluid flow are larger compared to those in the Casson fluid flow. The thermal Grashof number and the Hall current parameter enhanced the pressure rise profile. This research has significant implications in biomedical devices (MRI, vitamins A and D injections, heart-lung machines, etc.) and pharmaceutical fluid preparation in biomedical sciences.

Exploration of Hall current effect and multiple convections in a Darcy Forchheimer flow of hybrid nanofluid over rotating permeable disk: a Stefan blowing approach

This article explores the slip boundary layer electrically conducting hybrid-nanofluid ( GO - Ti O 2 / H 2 O ) flow over a rotating disk. Flow is considered to be steady and incompressible type. Hall current effect and thermal radiation are considered in flow. We carried out the analysis of heat and mass transmissions in the flow through multiple convections. The surfaces of disk subjected to the influence of Stefan blowing. By completing similarity assessment, we renovate the primary PDEs of presumed flow model into ODEs. The resulting equations are solved numerically by recalling Runge–Kutta–Fehlberg fourth–fifth order scheme through shooting system. Discussions on significance of flow features on flow specific are structured precisely via graphs and charts. The acknowledged numerical concerns are novel and distinguishing. For Forchheimer number heat transmission declines in suction and in injection both cases and rate of heat transmission is higher in injection than suction which supposes in cooling exercise, flow through rotating disk suction stands more appropriate. Process of fluid flow over rotating disk and transportation via porous forms has engineering and scientific applications like gas turbines, oil condensers, nano-bio-materials processing.

Photothermoelastic response due to Hall current and gravity effects in a hyperbolic two-temperature semiconducting medium with voids under a moving thermal load

Photothermoelastic response due to Hall current and gravity effects in a hyperbolic two-temperature semiconducting medium with voids under a moving thermal load

Hall current effect on molecules motion in viscous non-Newtonian power law fluid with Joule heating and fluxing model of Cattaneo-Christov

This study examines the molecules motion influences and thermal attributes in power-law non-Newtonian dissipative fluids' magnetohydrodynamic behavior, Joule heating, electromigration, and Cattaneo-Christov effects. Effects of Hall on both flow velocity and temperature, as well as the heat transport are considered. The investigation looks at heat transference that occurs when there is a slippage consequence, how the temperature influences the viscosity of the fluid, and how the potential parameters influence the exponential non-Newtonian flow of fluid via an extensible sheet. Runge-Kutta-Fehlberg's approach, which is based on the shooting procedure, was used to develop computational solutions for nonlinear ordinary differential equations. When exposed to a deformation that is generated by expansion, pressure, or agitation, a dilatant fluid is characterized by a phenomenon in which its viscosity rises and may harden. This phenomenon is referred to as the dilatation phenomenon. High shearing rates provide the impression that it is stable. When expanded, subjected to pressure, or agitated, dilatant fluids become more viscous and transform into solids. Both the non-equilibrium that occurs within the fluid and the reduction of the irreversibility processes that occur within it are caused by the acquired charges that are a result of Hall effect of fluid molecules.

Investigation of Hall current and thermal diffusion effects on unsteady MHD mixed convective Jeffrey fluid flow over an inclined permeable surface with chemical reaction

Investigation of Hall current and thermal diffusion effects on unsteady MHD mixed convective Jeffrey fluid flow over an inclined permeable surface with chemical reaction

Triple-diffusive free convection enhancement at the stagnation point on moving sheet under the influence of hall effect and mass flux

This study seeks to examine the impact of convective heat transfer, buoyancy ratios, hall current effect, nonlinear thermal radiation, Schmidt number, Prandtl number and mass flux condition on the temperature profiles, velocity profiles and concentration profiles. The research explores into mass and heat transfer characteristics of a stagnation point flow of a free convective triple diffusion with considerations for convective boundary constraints and nonlinear thermal radiation over a mobile vertical plate. To elucidate the aims and methodology, the study utilizes similarity transformation to convert the governing partial differential equations into a set of nonlinear ordinary differential equations. Numerical solutions are obtained employing a fourth-order Runge-Kutta shooting strategy. The findings, showcased through graphical representations, unravel the intricate interplay of parameters, shedding light on flow distribution, temperature, and velocity profiles. These quantitative results not only enhance our scientific understanding of fluid dynamics but also hold practical implications across diverse sectors. Notably, the acquired insights are poised to benefit fields such as environmental science and engineering, where optimizing heat and mass transfer processes is paramount. This research thus contributes valuable perspectives to both the theoretical framework of fluid dynamics and its real-world applications.

Hall current and Dufour effect on the flow of a viscous fluid in the presence of suction, chemical reaction, and heat source: Laplace transform procedure

AbstractThe present investigation explores the transient magnetohydrodynamics gravity‐driven flow of a viscous, incompressible, electrically conducting fluid past a permeable exponentially accelerated vertical plate in the presence of thermal radiation and suction. Due to several applications in different areas, the influence of Hall current, Dufour number, heat source parameter, and chemically reactive species diffusion are vital and are incorporated in the study, which is the novelty of the present work. The model equations are derived and resolved by utilizing an analytical technique called the Laplace transform procedure. Various properties of the flow due to the influence of different vital parameters have been depicted with the help of graphs. The computed gradients of velocity, temperature and concentration are presented in tabular form. The Hall parameter is observed to strengthen the secondary flow while diminishing the primary flow. Dufour number and heat source parameter enhance the fluid temperature and velocity profiles while the heat sink declines them. Enhancement of the acceleration parameter significantly amplifies the primary skin friction coefficient. Suction boosts the heat transport as well as the mass transport rates at the surface of the plate, whereas injection declines them. Further, the Dufour number causes a significant reduction in the Nusselt number and magnitude of the secondary skin friction coefficient. The practical applications of the current research are the design of aircraft, cooling of microchips, Hall accelerators, separation of isotopes and many more.

Thermal radiative and Hall current effects on magneto-natural convective flow of dusty fluid: Numerical Runge–Kutta–Fehlberg technique

This research article intends to examine the consequences of Hall impact on the natural convection of magnetohydrodynamic (MHD) fluid flowing and the thermal characteristics of the fluid flow which containing dusty particles via a vertical stretchable sheet. Slip velocity and convective boundary conditions are taken into consideration in this research article. The flow is mathematically described by partial differential equations. The governing equations are renovated into a group of nonlinear differential equations with the use of similarity conversations, which are then resolved numerically by applying Runge–Kutta–Fehlberg. The behavior of these physical factors on the rapidity and temperature profiles of the dust and fluid phases are exposed graphically in this article. Furthermore, frictional force and heat transfer are also examined and discussed. According to the investigation, the existence of suspended particles in the fluid lead to increment in momentum and thermal boundary layer thickness. The temperature of the fluid seems can be controlled by the significant parameter, such as it seem to be increase due to the magnetic, radiation, and Hall parameters, while it is seen to have decreased due to the slip thermal parameter. While the radiation accelerates up the fluid velocity, the magnetic parameter is excellent at slowing it down. The fluid phase’s temperature and velocity profiles are almost usually higher than those of the dust phase. The outcomes contribute to a better understanding of the two-phase theory’s fluid flow phenomenon.

Heat and Mass Transfer on Unsteady MHD Chemically Reacting Rotating Flow of Jeffrey Fluid Past an Inclined Plates under the Impact of Hall Current, Diffusion Thermo and Radiation Absorption

An analytical solution for two dimensional unsteady MHD free convective double diffusive heat and mass transfer rotating flow of viscous incompressible optically thin non Newtonian fluid (jeffrey fluid) past a semi-infinite porous plate in the presence of generation of heat absorption with hall current, radiation absorption and Dufour effects are presented in this paper. Lorentz force is applied perpendicular direction to the plate with a first-order chemical reaction. The governing PDEs transformed into ODEs by applying the perturbation technique. The effects of various physical parameters like Hall current, heat absorption, radiation parameter, radiation absorption parameter, Grashof number, modified Grashof number, Dufour effect, magnetic field parameter, inclined angle, chemical reaction parameter, etc., are studied with graphically. Temperature profile is increased by raising the values of Dufour effect, radiation absorption parameter and reverse effect of the heat absorption parameter and also concentration profile distribution is downfall by raising the values of Schmited number, chemical reaction parameter. Another significant finding of the current study is that the numerical data are displayed with the use of Matlab programmes to investigate the outcomes of the skin friction solution. the rate of heat and mass transfer at the wall rising under the influence of Dufour effect. Tables, graphs, and reports can be used to display the impact of all pertinent parameters.

MHD flow and effects of hall current, joule heating, and heat source across a chemically reacting and radiating exponentially stretching sheet in a porous medium

MHD flow and effects of hall current, joule heating, and heat source across a chemically reacting and radiating exponentially stretching sheet in a porous medium

Hall current effects on a fully developed combined convection flow in a vertical channel: A study of heat transfer

This paper the effect of magnetic field on free and forced convection flow between two vertical parallel plates is studied. The flow is assumed to be steady and fully developed. The vertical walls are kept at different uniform temperatures. The expression for velocity and bulk temperature are obtained in magnetic and in non-magnetic cases. Hall current effect plays a significant role in determining the flow pattern of an incompressible, viscous, conducting fluid under the influence of an external magnetic field. The effects of magnetic parameter or Hartmann number M, ratio of wall temperature differences (rT), ratio of Grashoff number and Reynolds number , the pressure gradient and the hall parameter (m) is studied numerically on velocity and bulk temperature.

Irreversibility and nanomaterials shape consequences on peristalsis of magneto hybrid nanofluid via curved configuration with homogeneous–heterogeneous chemical reactions

Over the last decade, research on nanofluids has grown at a breakneck pace. As part of their nanofluid research, researchers have recently attempted to use hybrid nanofluids, made by combining different nanomaterials. The novelty of this analysis is to inspect the consequences of entropy generation on the peristalsis of a hybrid nano-liquid via a curved conduit with homogeneous and heterogeneous chemical reactions. Hybrid nanofluid is formed of copper and iron oxide nanomaterials added to water. Furthermore, the simplified model also considered the Hall current, viscous dissipation, and electrical resistance heating effects. The Hamilton–Crosser thermal conductivity model is used to study the nanomaterials shape effects (i.e. sphere, platelet, and blade) on the thermal features of hybrid nano-liquids. Mathematical expressions for the flow problem are simplified by employing the small wave and Reynolds numbers assumptions, which are then resolved analytically and numerically. Analytical results are used to scrutinize the impacts of several included quantities on the flow and thermal characteristics, chemically reactive concentration, and entropy creation. It is found that with a rise in Hartmann number, the velocity reduces, whereas an improvement is noted in temperature and entropy production for large values of Hartmann number. The noteworthy discoveries indicate that hybrid nano-liquids exhibit enhanced thermal efficiency when compared to conventional nanofluids. Specifically, the introduction of a small quantity of ferrous oxide nanoparticles into the copper–water nanofluid led to less than 2% increase in the thermal transport rate. Additionally, it was observed that spherical-shaped nanoparticles generate more heat in comparison to platelets and blade-shaped nanoparticles. Furthermore, the homogenous reaction parameter and Schmidt number lead to a drop in the concentration profile.

Approaches through effects of Hall current, nanoparticle radius, inter-particle spacing and multiple slips on the suspension of copper-water nanofluid with gyrotactic microorganisms

In this comprehensive study, the dynamic behavior of a copper-water nanofluid infused with gyrotactic microorganisms, focusing on the effects of Hall current, nanoparticle radius, inter-particle spacing, and multiple slip mechanisms is investigated. Through advanced numerical simulations and rigorous analysis, intricate relationships between the parameters and the suspension’s characteristics are uncovered. Comparison of the present results show a good agreement with the published results. The research findings unveil the potential for fine-tuning transport processes, manipulating thermal properties, and controlling dispersion and aggregation in nanofluids. These insights hold promise for a wide array of applications, from enhancing heat exchangers and cooling systems to pioneering biomedical devices utilizing gyrotactic microorganisms for targeted drug delivery and sensing. This study not only advances the fundamental understanding of nanofluid dynamics but also paves the way for innovative developments across various scientific and engineering domains.

Hall current and ion slip effects on a ternary hybrid nanofluid flow over a bidirectional surface with chemical reaction and Cattaneo–Christov heat flux

The interaction between fluid flow and magnetic fields finds real-life applications in various industries, including semiconductors, fusion energy, plasma processing, and spacecraft propulsion. In this study, our objective is to investigate the behavior of a ternary hybrid nanofluid as it flows over a surface stretched in two directions. We consider the amalgamation of Hall current and ion slip effects, as well as homogeneous–heterogeneous reactions. The flow is influenced by Cattaneo–Christov heat flux, heat generation/absorption, and slip and convective conditions at the surface boundary. This ternary hybrid nanofluid comprises three types of nanoparticles—silicon carbide (SiC), copper oxide (CuO), and titanium oxide (TiO2)—suspended in a base fluid of diathermic oil (DO). We employ numerical methods to solve this system, utilizing the bvp4c function in MATLAB software. The results are presented graphically, demonstrating the correlation between key parameters and associated profiles. The findings reveal that the thermal profile diminishes with increasing Biot number but improves with the thermal relaxation effect. Furthermore, it is examined that the performance of the ternary hybrid nanofluid flow surpasses that of both hybrid and simple nanofluid flows. To corroborate our model, we provide a comparison with a published work in a limiting case within this study.

Hall effects and Cattaneo–Christov heat flux on MHD flow of hybrid nanofluid over a varying thickness stretching surface

The study of nanofluids and hybrid nanofluids is gaining conceivable importance due to their characteristics of being so useful in various daily life applications. This study deals with the motion of an electro conductive, incompressible magneto-hydrodynamic (MHD) hybrid nanofluid across a stretched surface of variable thickness. The objective of this study is motivated by a number of manufacturing and machine-building applications. However, no attempt has been made to establish MHD flow of hybrid nanofluid along a stretching sheet (a sheet with variable thickness) while keeping an eye on the impact of Hall current. In real-life situations, variable-thickness sheets are crucial in the creation of flexible containers and, additionally, in the layout and production of aerospace wings and auto body components. This study extends our fundamental knowledge of fluid dynamics and heat transmission in intricate systems. Recognizing how magnetic effects, nanofluid traits and heat conduction interplay can help researchers make valuable developments and breakthroughs in the areas of fluid mechanics and heat transfer. Hall effects are vital for applications including conductive fluids or plasma as they provide a more precise understanding of the movement of charged nanoparticles in the presence of a magnetic field. For hybrid nanofluid, we mixed the nanoparticles of titanium dioxide and copper (TiO2–Cu) into the water. Due to the low noxiousness and chemical strength of titanium dioxide-based nanoparticles, they have great uses in research. We also consider the effects of Cattaneo–Christov heat flux to analyze the heat transfer of nanoparticles and Hall current effects, which make the flow three-dimensional. For both fundamental research and real-world applications, it is of the utmost importance to take into account the Hall effects and Cattaneo–Christov heat flux in the MHD flow analysis of hybrid nanofluid over stretched surface. It makes it possible to describe the phenomenon more precisely and can enhance the effectiveness and efficiency of numerous technical procedures. By using appropriate transformations, the equations that govern the flow are transformed into a system of non-dimensional ordinary differential equations. The non-dimensional system of equations has been solved numerically by using the ND Solve command in Mathematica Software, which is based on a multistep predictor-corrector method. For velocity and temperature profiles, the interplay of numerous developing parameters on flow is depicted graphically. The Hall parameter enhances the axial velocity but reduces the transverse velocity, while the magnetic field has the opposite effects. The temperature increases with the volume fraction of nanoparticles but decreases with the thermal relaxation parameter.