Hall Current Parameter Research Articles

Dynamics of magneto-bioconvection thermal casson nanofluid with activation energy and joule heating

As nanotechnology is expanding its application in engineering science, it provides ample opportunities to explore fluid properties with the help of nanoparticles for growing significance in different industries. Heat and energy management are the major concerned areas to the industries as well as researchers. This article carried out the investigation of gyrotactic microorganisms incorporated in Casson nanofluid, with activation energy, Hall, Joule heating, and other parameters. The major interest of this article was to explore the characteristic of the bioconvective magneto Casson nanofluid by analyzing the influence of the key parameters on the heat, flow, concentration and microbial concentration profiles. Thepreliminary borderline circumstances with prevailing partial differential equations by use of appropriate similarity variations were rewritten as ordinary differential equations (ODEs) and ultimate borderline environments correspondingly. Furthermore, we used the Spectral Quasi-Linearization (SQLM) method for the numerical calculation of ODEs to get the consequences of the key parameters. Analysis of the flow in both directions i.e. the tangential and circumferential, temperature, solutal, and microbial distribution with activation energy, and the ion-slip, Hall current, and other interesting parameters was done by their pictorial views. The quantities of physical attention were examined and reflected the flattering outcomes. The increasing Casson nanofluid parameter reduces the velocity outline of the flow while expanding the temperature outline, on the other side the microbial, and solutal profiles was enriched by the rising values of the activation energy constraint. The rising of temperature profile has been observed for the increasing values of the thermal radiation as well as buoyancy ratio parameters. The effect of different parameters on engineering interest quantities was also considered. The growing Casson fluid parameter, minimize the local Nusselt number approximately 43%, while the quantities of local Sherwood and local density of microbial increase by approximately 16% and 22%, correspondingly. The local Nusselt number decreases about 87%, however, the local quantities of Sherwood, and density of microbial increase by about 13% and 12%, respectively for increasing values of thermal radiation.

Implications of homogeneous–heterogeneous reactions, Hall current, and dissipative radiative heat transfer on MHD Casson fluid flow over a bi-directional stretching sheet

This consideration highlights a numerical analysis of the unsteady three-dimensional flow of a Casson fluid over a stretching surface extending in its plane considering the effects of Hall current, thermal radiation, homogeneous–heterogeneous reactions, viscous dissipations, and an external magnetic field. The fluid flow in the region is developed due to the stretching of the sheet along the two directions in its plane. Two different species are present in the flow region which are taking part in homogeneous and heterogeneous reactions. Fluid velocity, thermal, and mass transportation are expressed mathematically using a set of nonlinear partial differential equations ( PDEs ) along with suitable boundary conditions. By using the appropriate similarity transformations, these equations ( PDEs ) that reflect the mathematical model are transformed into a set of nonlinear ordinary differential equations ( ODEs ) . The transformed equations ( ODEs ) were further solved numerically utilizing the bvp 4 c solver. The comprehensive study regarding the impacts of flow parameters on velocities, temperature, and concentration is also presented with graphs. It is observed that the thermal boundary layer is enhanced with an increment in the Hall current parameter, magnetic parameter, and thermal radiation. Moreover, with an increase in homogeneous-heterogeneous reaction parameters, mass transportation decreases. The physical quantities such as the coefficient of skin friction and coefficient of heat and mass transfer are also obtained numerically. Moreover, an appropriate agreement is obtained on comparing the current results with previously published results.

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.

Pulsatile flow and peristaltic motion interaction of Walter’s B liquid

This work focuses on the interaction of peristaltic with the induced periodic flow of Walters B liquid in a channel with porous space. The model takes into account the impact of Hall current. In order to solve the governing flow equations, the amplitude ratio (wave amplitude/channel width) is used as a parameter in the perturbation technique. The impact related to various parameters on the velocity distribution, stress at the walls and streamline patterns have been examined using graphical representation. Our analysis indicates that with a rise of the Hall current parameter, the velocity of the fluid enhances whereas by rising the Hartmann number, we observed a fall in the velocity. Further, the size of the trapping bolus grows with the rise of the Hall parameter and Reynolds number. The size of the bolus, on the other hand, decreases as the viscoelastic parameter rises. To validate the model, the analytical solution derived has been compared with that of Afifi and Gad (Acta Mechanica 149, 229–237 (2001)), and the outcomes show remarkable agreement.

Numerical exploration of the peristaltic flow of MHD Jeffrey nanofluid through a non-uniform porous channel with Arrhenius activation energy

This article describes the peristaltic flow of a Jeffrey nanofluid through a vertical divergent channel subject to the impacts of thermal radiation, heat generation, activation energy, and an angled magnetic field. Coupled governing non-linear differential equations are obtained by approximating the system with the lubrication approximation. Further, distributions of the velocity, temperature, concentration, heat, and mass transfer rates at the channel wall are all calculated numerically. In addition, the consequences of pertinent physical parameters on the flow quantities are analyzed via tabular and graphical illustrations. It is noted that the velocity distribution exhibits an increasing behavior for thermal and solute Grashof numbers. Augmentation in axial velocity is noticed by escalating the values of the Hall current parameter. For greater values of the activation energy parameter, the concentration and mass transfer rate were elevated. The present study has a wide range of applications in biomedical engineering and environmental engineering.

Impact of motile microorganisms on a Sutterby nanofluid flow over a rotating disk with Hall current and ion slip

The dynamics of partly ionized fluid flow, when subjected to a magnetic field, differ considerably from that of typical fluid flow. The main applications of the partially ionized fluids including thermal arc plasma cutting, gas discharge lamps, lighting, and plasma medicine have made them vital when discussed under the effects of the applied magnetic field. This study discusses the flow of the Sutterby nanofluid over a stretching disk with Hall and ion slip effects amalgamated with Cattaneo–Christov double diffusion. The uniqueness of the envisaged model is enriched by considering the gyrotactic microorganisms. The system of governing equations is normalized and addressed numerically by applying the bvp4c package of MATLAB software. The outcomes are depicted via graphs and in tabularized form. It is perceived that fluid velocity is affected by the Hall current parameter. For the bioconvection Lewis number, a decline in the microorganism distribution is also observed. In addition, it is also perceived that the fluid concentration is enhanced against mass diffusion relaxation stress. The validity of the envisioned model by comparing it with a published study is also a part of this exploration.

Impact of Activation Energy, Diffusion Thermo, Thermal Diffusion and Hall Current on MHD Casson Fluid Flow with Inclined Plates

This research article deals with the impact of Activation energy and Hall current on an electrically conducting nanofluid flow past a continuously stretching surface with Diffusion thermo and thermal diffusion has been explored. Transverse magnetic field with the assumption of small Reynolds number is implemented vertically. Appropriate similarity transformations are utilized to transform the governing partial differential equations into the non-linear ordinary differential equations. Numerical solutions for the dimensionless velocity, temperature and nanoparticle concentration are computed with the help of the shooting method. The impact of each of the Activation energy, Hall current parameter, Brownian motion parameter, thermophoresis parameter and magnetic parameter on velocity, concentration and temperature, is discussed through graphs. The skin friction coefficient along the x−and z−directions, the local Nusselt number and the Sherwood number are calculated numerically to look into the inside behavior of the emerging parameters.

Analysis of Newtonian heating and surface catalyzed reaction in a trihybrid nanofluid flow across an expanding/shrinking cylinder with Thompson and Troian slip

The objective of this study is to highlight the impact of Hall current combined with the surface-catalyzed reaction on trihybrid nanoliquid flow across a linearly expanding/shrinking cylinder in a porous media. The thermal endurance of trihybrid nanoliquid flow is assessed by integrating the modified Fourier law with Newtonian heating. Thompson and Troian slip condition is incorporated at the liquid-solid interface of the expanding/shrinking cylinder. The mathematical model is simplified with the inclusion of appropriate transformation. The bvp4c algorithm yields a numerical solution. The effect of various parameters on the flow distribution is illustrated through tables and graphs. Significant changes are noticed in the flow attributes of the trihybrid nanoliquid across a shrinking and extended cylinder. Higher values of the porosity parameter exhibit a decay and growth in the velocity of trihybrid nanoliquid flow for stretching/shrinking cylinder respectively. For large values of the Hall current parameter, fluid velocity delineates a decreasing trend for the shrinking cylinder and augments for the expanding cylinder. On enhancing the conjugate parameter for Newtonian heating, the thermal field boosts. The concentration field decelerates on augmenting the homogeneous reaction and surface-catalyzed parameters. An elevation in the drag force is noticed versus curvature and porosity parameters. Heat flux accelerates on incrementing the conjugate parameter over a shrinking and stretching cylinder. The present investigation is authenticated when the outcomes of the analysis are assessed with prior published studies. An intriguing correlation is noticed which affirms the consistency and precision of the flow model.

Rotation effect on a fluid model exhibiting thermo-diffusion in a porous environment subject to convective boundary conditions through a slanted conduit

The goal of this work is to show how important the rotation effect is by using a model that simulates thermo-diffusion in a porous material. The model incorporates convective boundary conditions and an inclined conduit to provide a comprehensive analysis. Hall current and thermal flux’s prospective repercussions are considered. We assume a long wavelength and a low Reynolds number to approximate the solution of the governing equations of motion. The current investigation has substantial significance for several medical scenarios, including the movement of gastric fluid inside the intestinal tract and blood circulation in arteries. Utilizing a peristaltic transport mechanism with minor stenosis, industries such as water purification and the production of artificial hearts and lungs have used the transport mechanism. Various physical attributes of the issue are discussed, and their graphic effects are illustrated. Increasing the porosity parameter, hall current parameter and grashof number causes the velocity distribution to enhance, whereas increasing the biot number causes it to diverge. The radiation parameter and Prandtl number improve as temperature distribution extends, whereas the biot number worsens it. The magnitudes of the skin friction coefficient and the nusselt number exhibit a positive correlation with both the Prandtl number and the radiation parameter. Moreover, the present study compares the numerical velocity values with those reported in a previously published publication.

Scrutiny of nanoscale heat transport with ion-slip and hall currenton ternary MHD cross nanofluid over heated rotating geometry

SignificanceThermal engineering is facing energy consumption issue, to handle this pointwe need to enhance the thermal conductivity of base fluid because low thermal conductivity causes to poor heat dissipation, insufficient temperature control, high energy consumption and Limited applications. To overcome this issue nanoparticle are added in base fluid. PurposeThis attempt examines the scrutiny of nanoscale heat transport with ion-slip and hall current on Ternary MHD Cross nanofluid over heated rotating geometry. This attempt involves three nanoparticles which are silver, copper and graphene oxide. Inclined magnetic field and chemical process effects are imposed also. MethodologyGenerated PDEs are transformed into ODEs and numerical simulations areperformed using the methodology of spectral relaxationtechnique to fetch the numerical results. FindingsAugmented values of φGO,φAg,φCu enhance the skin friction of ternary hybrid Cross nanofluid and rate of heat transport is augmented by 9%.Numerical augmented values of φGO,φAg,φCu enhanced the skin friction coefficient and Hall current parameter makes enhancement in velocity of ternary hybrid cross nanoliquid.

Propagation and reflection of thermoelastic wave in a rotating nonlocal fractional order porous medium under Hall current influence

This investigation relates to the research on Hall current on propagation and reflection of elastic waves through non-local fractional-order thermoelastic rotating medium with voids. The system is split up into longitudinal and transverse components using the Helmholtz vector rule. It is observed that, through the frequency dispersion relation four coupled quasi-waves exist in the medium. The rotating solid modifies the nature of purely longitudinal and transverse waves toward the quasi-type waves. All the propagating waves are dispersive as they depend upon angular frequency. The quasi-longitudinal wave qP and quasi-transverse wave qSV faces cut-off frequencies. The nonlocal parameter affect all the waves except the quasi void wave. Analytically, the reflection coefficients of the wave are computed using suitable boundary conditions. MATLAB software is used to perform numerical computations for a chosen solid material. The amplitude ratios and the speed of propagation of the wave are plotted graphically for rotational frequency, nonlocal, fractional order, and Hall current parameter. The significant effect of the physical parameters on the computed results has been observed. The cut-off frequency of the waves is also presented graphically. The energy conservation law is proved in the form of energy ratios. The earlier findings in the literature are obtained as special case in the absence of rotation, Hall current parameter and porous voids.

Peristaltic flow of bioconvective Ree–Eyring nanofluid through an inclined elastic channel with partial slip effects

Pharmaceutical fluid processing is a procedure of medication manufacturing, utilizing a particular kind of heat transfer in a biofluid designed to maintain the desired temperature for extended periods. Choosing a suitable fluid can have a positive effect on the operating efficacy of the system and lengthen the fluid’s and system’s life spans. As an outcome of this development, we investigate the influence of the partial slip and gyrotactic microorganisms on the peristaltic transport of a magnetohydrodynamic Ree–Eyring nanofluid via an aligned porous conduit with thermal radiation, energy generation, along with cross and double diffusion effects. By invoking suitable nondimensional parameters, the proposed dimensional governing equations are transformed into a system of dimensionless partial differential equations. The analytical solutions for the system of partial differential equations are obtained by incorporating the homotopy perturbation method. Further, tabular and graphical presentations are used to examine the characteristics of the various sundry parameters on the temperature, concentration, motile microorganism density, axial velocity, trapping, and other relevant flow quantities. The observations of this study indicate that the Darcy number and thermal Grashof number have the capability to enhance the velocity distribution of the Ree–Eyring nanofluid in the presence of bioconvection. The trapped bolus size and the skin friction coefficient increase noticeably because of an enhancement in the Ree–Eyring fluid parameter. Also, the Darcy number and the Hall current parameter increase the skin friction coefficient. Furthermore, validation of the results is carried out to examine the consistency between the current and the previous findings for some special cases and excellent agreements are found.

Impact of Activation Energy and Hall Current on MHD Nano-Fluid Flow with Inclined Plates

This research article deals with the impact of Activation energy and Hall current on an electrically conducting nanofluid flow past a continuously stretching surface with heat generation/absorption has been explored. Transverse magnetic field with the assumption of small Reynolds number is implemented vertically. Appropriate similarity transformations are utilized to transform the governing partial differential equations into the non-linear ordinary differential equations. Numerical solutions for the dimensionless velocity, temperature and nanoparticle concentration are computed with the help of the shooting method. The impact of each of the Activation energy, Hall current parameter, Brownian motion parameter, Prandtl number, thermophoresis parameter and magnetic parameter on velocity, concentration and temperature, is discussed through graphs. The skin friction coefficient along the x−and z−directions, the local Nusselt number and the Sherwood number are calculated numerically to look into the inside behavior of the emerging parameters.

Hall Current and Thermal Radiation Effects on MHD Casson Nanofluid Flow Past in The Presence of Heat Source/Sink, Brownian Motion and Thermophoresis

The effect of Hall current and thermal radiation on the MHD flow of an electrically conducting Casson nanofluid across a constantly extending surface in the presence of Heat source/sink, Brownian motion and Thermophoresis has been analyzed and investigated. Vertical application of a transverse magnetic field, with the premise that the Reynolds number is relatively low. The appropriate similarity transformations are used to convert the controlling partial differential equations into non-linear ordinary differential equations. The shooting technique generates numerical solutions for the dimensionless velocity, temperature, and nanoparticle concentration. These three variables are all taken into consideration. The findings are bolstered further by the outcomes acquired via MATLAB's built-in functions. Using graphs, the discussion will focus on the effects that the hall current parameter, thermal radiation parameter, Brownian motion parameter, thermophoresis parameter, and magnetic parameter have on the velocities, concentrations, and temperatures. To get insight into the internal behavior of the emerging parameters, a numerical calculation of the skin friction coefficient along the x and z axes, the local Nusselt number, and the Sherwood number are all performed.

Hall current, radiation absorption, and diffusion thermoeffects on unsteady MHD rotating chemically reactive second‐grade fluid flow past a porous inclined plate in the presence of an aligned magnetic field, thermal radiation, and chemical reaction

AbstractIn this paper, we analyze the effects of Hall current, radiation absorption and diffusion thermo on unsteady magnetohydromagnetic free convection flow of a viscous incompressible electrically conducting and chemically reacting second‐grade fluid past an inclined porous plates in the presence of an aligned magnetic field, thermal radiation, and chemical reaction. An exact analytical solution of the governing equations for fluid velocity, fluid temperature, and species concentration subject to appropriate initial and boundary conditions is obtained using the perturbation technique. Expressions for shear stress, rate of heat transfer, and rate of mass transfer at the plate are derived. The numerical values of primary and secondary fluid velocities, fluid temperature and species concentration are displayed graphically, whereas those of shear stress and rate of mass transfer at the plate are presented in tabular form for various values of pertinent flow parameters. In addition, the skin friction on the boundary, the heat flux expressed in terms of the Nusselt number, and the rate of mass transfer described in the Sherwood number are all derived, and their behavior is studied computationally. It can be deduced that an increase in radiation absorption and hall current parameters over the fluid region increases the velocity produced. The resulting velocity continually increases to a very high level, with contributions coming from thermal and solutal buoyancy forces. Skin friction may decrease by manipulating the rotation parameter, but the Hall effect can worsen it. When the parameter for the chemical reaction increases, there is a concomitant rise in the mass transfer rate.

Hall Current and Thermal Radiation Effects on MHD Nanofluid in the Presence of Heat Source/Sink, Brownian Motion and Thermophoresis with Inclined Plates

The purpose of present study is to analyse the influence of Hall current and thermal radiation MHD electrically conducting nanofluid flow past a continuously stretching surface with heat absorption/generation in the presence of Brownian motion and Thermophoresis has been explored. Transverse magnetic field with the assumption of small Reynolds number is implemented vertically. Appropriate similarity transformations are utilized to transform the governing partial differential equations into the non-linear ordinary differential equations. Numerical solutions for the dimensionless velocity, temperature and nanoparticle concentration are computed with the help of the shooting method. The impact of each of the Hall current parameter, thermal radiation parameter, Heat source/sink parameter, Brownian motion parameter, thermophoresis parameter and magnetic parameter on velocity, concentration and temperature, is discussed through graphs. The skin friction coefficient, the local Nusselt number and the Sherwood number are calculated numerically to look into the inside behaviour of the emerging parameters. It is witnessed that the flow velocity is a diminishing function of the linear and non-linear thermal radiation parameter. Moreover, mounting values of Brownian motion parameter reduce the nanoparticle concentration profile.

Natural convective MHD nanofluid flow past a vertical plate embedded in a porous medium with thermal diffusion and hall current

AbstractIn the present study, we explore MHD water‐based nanofluid flow past an impulsively started infinite vertical plate embedded in a porous medium, including ramped velocity and concentration in the presence of Hall effect, thermal radiation, chemical reaction, heat source/sink and thermal diffusion. The set of non‐dimensional governing equations is computed utilising the Laplace transform method. The effect of different embedded parameters on velocity, temperature and concentration profiles have been plotted and graphically deliberated through physical interpretation. Variations of the Nusselt number, Sherwood number and skin friction are also studied. It is established that for higher values of nanoparticle volume fraction, the primary and secondary velocities and concentration of the fluid reduce. The temperature enhances by increasing the nanoparticle volume fraction. The thermal diffusion upsurges the fluid concentration. The rate of momentum transfer falls as Hall current parameter increases.

Investigations concerning the effects of thermal radiation, induced magnetic field, and chemical reaction on MHD flow through a permeable medium

This paper focuses on the effects of heat radiation and chemical reactions on naturally occurring convective MHD flow that conducts electricity when there is an induced magnetic field present between two vertical walls having a porous medium between them. An analytical method is adopted to investigate the impacts of all pertinent parameters concerning the presented multi-physics problem. With the aid of relevant conversions, the nonlinear PDEs are remodeled into nonlinear ODEs.The effects of radiation parameters, Hartmann number, Hall current, chemical reaction and porosity parameters are scrutinized on velocity components, induced magnetic field, and current density. The results predict that the temperature profile decreases as the radiation factor rises, whereas the induced magnetic field would exhibit the opposite pattern. The profiles of component velocity get more intense for high rates of the porosity parameter. Additionally, profiles of induced magnetic field surges with elevated chemical reaction parameter values have been noted. The presented approach is very promising for multi-physics phenomena like chemical reactors and solar thermal devices.

Computation of swirling hydromagnetic nanofluid flow containing gyrotactic microorganisms from a spinning disk to a porous medium with hall current and anisotropic slip effects

AbstractPrompted by the advancements in hybrid bio‐nano‐swirling magnetic bioreactors, a mathematical model for the swirling flow from a rotating disk bioreactor to a magnetic fluid saturating a porous matrix and containing nanoparticles and gyrotactic micro‐organisms has been developed. An axial magnetic field is administered which is perpendicular to the disk and Hall currents are included. The disk is assumed to be impervious and stretches in the radial direction with a power‐law velocity. The Buongiorno nanoscale, Kuznetsov bioconvection and Darcy porous media models are deployed. Anisotropic momentum, thermal, nanoparticle concentration and motile micro‐organism slip effects are incorporated. Stefan blowing is also simulated. The governing conservation equations are transformed with appropriate variables to ordinary nonlinear differential equations. MATLAB bvp4c shooting quadrature is used to solve the emerging nonlinear, coupled ordinary differential boundary value problem under transformed boundary conditions. Verification with earlier solutions for the non‐magnetic Von Karman bioconvection nanofluid case is conducted. Further validation of the general magnetic model is conducted with the Adomian decomposition method (ADM). Extensive visualization of velocity, temperature, nanoparticle concentration and motile microorganism density number profiles is presented for the impact of various parameters including magnetic interaction parameter, Hall current parameter, Darcy number, momentum slip, thermal slip, nanoparticle slip and microorganism slip. Computations are also performed for skin friction, Nusselt number, Sherwood number and motile micro‐organism density number gradient. The simulations provide a useful benchmark for further studies.

Investigation of the Three-Dimensional Hybrid Casson Nanofluid Flow: A Cattaneo-Christov Theory.

We consider the Casson hybrid nanofluid (HN) (ZnO + Ag/Casson fluid) that flows steadily along a two-directional stretchable sheet under the influence of an applied changing magnetic flux and is electrically conducting. The basic Casson and Cattaneo-Christov double diffusion (CCDD) formulations are used for the simulation of the problem. This is the first study on the analysis of the Casson hybrid nanofluid by using the CCDD model. The use of these models generalize basic Fick's and Fourier's laws. The current produced due to the magnetic parameter is taken into consideration by using the generalized Oham law. The problem is formulated and then transformed to a coupled set of ordinary differential equations. The simplified set of equations is solved using the homotopy analysis method. The obtained results are presented through tables and graphs for various state variables. A comparative survey in all the graphs is presented for the nanofluid (ZnO/Casson fluid) with the HN (ZnO + Ag/Casson fluid). These graphs depict the effect of various pertinent parameters, like Pr, M, Sc, γ, Nt, m, Nb, δ1, and δ2, varying values over the flow. The Hall current parameter m and stretching ratio parameter γ show increasing trends for the velocity gradient, while the magnetic parameter and the flux of mass depict opposite trends for the same profile. The increasing values of the relaxation coefficients show an opposite trend. Furthermore, the ZnO + Ag/Casson fluid shows a good performance in the transfer of heat and thus can be used for cooling purposes to increase the efficiency of the system.