Ion-slip Currents Research Articles

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.

Combine thermal performance based on dust particles and Hall and ion slip currents including tetra-hybrid nanoparticles on Howarth's wavy pipe

The flow of a three-dimensional incompressible Carreau model by inserting iron oxide, titanium, copper and aluminum in a stretched wavy cylinder is inspected in this research by mixing the nanoparticles in two phases i.e. dust and fluid phase. The rheology of the Carreau model is considered to present the behavior of ethylene glycol liquid. The contribution of Hall current with the ionization of ion slips under convective boundary conditions by utilizing the comportment of radiation and external heat source in thermal transport expression is considered. Numerically, an implicit finite difference-based approach (FDBA) namely the finite element method (FEM) is used to handle nonlinear ODEs and several graphs are plotted against numerous emerging parameters. Moreover, shear stresses and heat transfer coefficient are calculated and their behavior is discussed. The velocity field's inclination is depicted graphically by augmenting the values of the Biot number, which further describes the comparative study for dust and fluid phases to monitor motion.

Exploring stream patterns of titania-CNTs blended blood in a squeezed artery subject to electro-magnetization, Hall and ion-slip currents

Exploring stream patterns of titania-CNTs blended blood in a squeezed artery subject to electro-magnetization, Hall and ion-slip currents

Hall and ion-slip current efficacy on thermal performance of magnetic power-law hybrid nanofluid using modified Fourier’s law

Magnetohydrodynamic free convection liquid considering Hall along with ion-slip current has many engineering usages. In addition, boundary layer flow of power-law fluids due to a stretching plane possesses sundry applications in biological sciences, geophysics, and petroleum industries. Further, hybrid nanofluids are important due to their high heat transfer capability. In view of such relevance, the goal of this investigation is to analyze Hall along with ion-slip effects on thermo-fluidic flow of magnetic power-law hybrid nanofluid so as to accomplish effective cooling in the desired thermal systems. Present investigation’s novelty is adding hybrid nanostructure to power-law fluid flow influenced by Hall and ion-slip mechanism and implementation of modified Fourier’s law featured with velocity and temperature gradients. The key results are that fluid velocity amplifies with rise in ion-slip and Hall parameters. Modified Prandtl numbers and Hall parameter ameliorate heat transfer rate while ion-slip parameter diminishes it.

Hall and Ion Slip Current influence on Unsteady MHD Free Convective Boundary Layer Flow Past a Vertical Porous Plate with Thermal Radiation and Chemical Reaction

The analytical reconnaissance has been effectuated to explicate the influence of Hall and ion-slip current on nonlinear MHD free convective flow near a vertical porous plate in presence of chemical reaction and Dufour effect. In this assessment the governing PDE’s are determined analytically. The impact of multifarious physical parameters has been contemplated on velocity, temperature as well as concentration which were exemplified via numerous graphs whereas quantification for the skin fiction, nusselt number and Sherwood number are demonstrated in numeric data form and are reported in table. In this examination mainly observed that velocity declined with the incremental values of Hall current as well as ion-slip current. Meanwhile velocity as well as temperature accelerated by means of the incremental values of Dufour number. However concentration diminished with the accelerated values of chemical reaction along with Schmidt number

Computational analysis on transient MHD free convection flow in a microchannel in presence of inclined magnetic field with Hall and ion slip current

The present analysis is concerned with the effect of magnetic field inclination on transient MHD flow of Newtonian viscous fluid in a vertical microchannel with the consideration of Hall and ion slip currents as well as induced magnetic field effects. Obtained dimensional partial differential equation are rendered dimensionless by employing suitable parameters and thereafter solved numerically in MATLAB. Relevant actions of parameters on different flow features are depicted explicitly and also using Tables for various applicable parameters. Analysis in this direction is relevant in many MHD controlled applications. Results obtained from the present analysis shows that at the early stages of time and in the simultaneous occurrence of inclined magnetic field as well as Hall and ion slip currents, velocity and induced magnetic field behavior are found to be oscillatory all through the microchannel domain.

Magnetohydrodynamic thermo-bioconvective flow of 3D rotating Williamson nanofluid with Arrhenius activation energy in a Darcy–Forchheimer medium over an exponentially stretching Surface

This paper aims to analyze the heat and mass transfer characteristics of the 3D thermo-bioconvective flow of rotating Williamson nanofluid over an exponentially stretching vertical sheet. The flow distribution considers the influence of nonlinear thermal radiation, Hall and ion-slip currents, joule heating, coupled effects of Dufour and Soret diffusion, internal heat generation, Arrhenius activation energy, Brownian, and thermophoresis diffusion in a Darcy–Forchheimer porous medium. The modeled partial differential equations (PDE) in terms of continuity, momentum, energy, concentration, and density of motile microorganisms are reformed into ordinary differential equations (ODE) forms employing similarity variables. The resulting equations are solved numerically using the spectral local linearization method (SLLM). The successive over-relaxation technique is applied to accelerate and enhance the convergence of the method. The obtained results are graphically and tabularly represented and numerically explored for the effects of pertinent parameters on the velocity, temperature, nanoparticle concentration, and motile microorganism concentration profiles. The rotation and mixed convection parameters dropped the primary velocity curve, while the Williamson and heat source parameters uplifted the microbes density distributions. The temperature field rises with an increase in radiation and microbes Brownian motion and declines with an increase in Hall and ion-slip numbers. Furthermore, with the increase in activation energy from 0.5 to 2 and the mixed convection parameter from 0.6 to 1.3, we observe a respective 3.93% rise and 8.30% fall in mass transfer rates. The current investigation has broad applications, including MHD accelerators, biotechnology, the formation of elastic sheets, the production of polymer solutions, and the synthesis of nanoparticles through microbial processes.

Oblique rotational dynamics of chemically reacting tri-hybridized nanofluids over a suddenly moved plate subject to Hall and ion slip currents, Newtonian heating and mass fluxes

The hydro-thermodynamical performance and efficiency of exceedingly sensitive systems is a significant issue in many engineering and scientific processes in the present day. Nanomaterials that have undergone hybridization exhibit novel properties that make them useful in various engineering contexts. Compared to hybridized nanofluid (HNF) and nanofluid (NF), a tri-hybridized nanofluid (THNF) is a novel concept in the field of investigation that provides a more efficient rate of heat transmission. Impelled by these, we quest to explore the dynamism of a non-Newtonian water-ethylene glycol mixture (vol.60–40 %) based tri-hybridized nanofluid (Cu–Ti O2-A l2O3/WEG) on an oblique plate with ramped motion in the attendance of Hall and ion-slip currents, Darcy's porous resistance, heat radiation, chemical reaction, Newtonian heat and mass fluxes in a magneto-rotating environment. The partial differential equations (PDEs) portraying the physical problem are set up via physical hypotheses and constraints. The subsequently obtained non-dimensional PDEs are unsteady, addressed by the Laplace transform method analytically. The physical effects of significant emergent factors, the accompanying flow patterns, and the assessment of industrial relevance are executed and thoroughly explained using a variety of graphics and tables. Our analysis proves a sharp upsurge in the resultant velocity over higher variations of Hall and ion-slip parameters. Increasing estimations of chemical reacting factor and NPs' volume fractions significantly deteriorate the mass transfer rate, while reversal conduct is prevailed due to Newtonian mass flux. Additionally, comparatively lower mass transmission for tri-hybridized nanofluid is documented than hybridized nanofluid. Our modelling could be applicable in industrial processes, dynamics of nano-polymers, hybrid nano-lubricants used in heat management systems, etc.

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.

EDL aspect in cilia-regulated bloodstream infused with hybridized nanoparticles via a microtube under a strong field of magnetic attraction

Cilia-regulated micro-scale transit via assorted micro and nanofluidic devices that employ EDL phenomena dictates drugs and physiological constituent delivery. Stirred by these implications, the present mathematical simulation intends to unravel the electric double layer (EDL) aspect in a cilia-attenuated peristaltic transport of viscoelastic ionized blood diffused with hybridized nanoparticles inside a microtube due to its impressive nanomedicine functionalities. A magnetic field extraordinarily durable is usually enforced to the blood transit via a cilia-layered microtube to unfold the electromagnetic (Hall and ion-slip currents) facts. An electric field aligned axially is imputed to the bloodstream. In this modelling, the collective effects of buoyancy force, viscous dissipation, and heat source are also evoked. Gold (Au) and copper (Cu) nanoparticles are selected in the hybridizing process to prepare the requisite hybrid nano-blood. Four unlike geometrical shapes (sphere, brick, cylinder and platelet) of nanoparticles are considered. The Jeffrey fluid model is favoured to emulate the rheological functionality of viscoelastic hybrid nano-blood. The homotopy perturbation method (HPM) is assigned to evaluate the analytical series solution upon simplifying the normalized model equations employing lubrication and Debye-Hückel linearization postulates. The changes in pertinent factors lead to an amendment in hemodynamical attributes, which are elucidated via graphs. The contribution of electro-osmotic force and electromagnetic events (Hall and ion-slip currents) are acknowledged to boost up the bloodstream in the core part of the microtube while impeding it close to the tube wall. The growth in the heat exchange rate for hybrid nano blood (201.5% for Au-Cu/blood) is higher than for nano blood (86.27% for Cu-blood and 148.4% for Au-blood). The captivated boluses expand for Hall and ion-slip, EDL and cilia length factors. This search could benefit the medical domain, such as haematology, haemato-oncology, radiology, pulmonology, electrobiology, etc. • Electric double layer (EDL) aspect in a cilia-attenuated peristaltic transit of viscoelastic blood diffused with hybridized nanoparticles inside a microtube in attendance of stronger magnetic influence is presented. • In this modelling, the cumulative effects of buoyancy force, viscous dissipation, and heat source are also evoked. • The electro-osmotic body force assists the blood flow in the core area of the micro-vessel and resists it in the peripheral region of the micro-vessel. • The augmentation in heat exchange rate for hybridized nanoblood (201.5% for Au-Cu/blood) is greater than nanoblood (86.27% for Cu-blood, and 148.4% for Au-blood). • The captivated boluses notably expanded due to thinner EDL, stronger Hall and ion-slip currents or longer cilia length.

Computational analysis and heat transfer on MHD transient‐free convection flow in a vertical microporous channel in the existence of Hall and ion slip current

AbstractThis investigation presents an analysis of the transient magnetohydrodynamic flow of Newtonian viscous fluid in a vertical microporous channel with the inclusion of ion slip‐Hall current as well as an induced magnetic field (IMF) effects. Owing to the nature of the flow equations which are difficult to obtain an analytical result, a numerical scheme (PDEPE) based on finite difference approximation is adopted in solving the governing dimensional partial differential equation. The active influence of different flow parameters on velocity and IMF along the main flow and induced flow directions are visualized. Furthermore, variations of shear stress and induced current density are also presented in tabular form for active nondimensional flow quantities and later on analyzed. To establish the validity of the results obtained in this computation, values for velocity and IMF in this analysis were correlated with the steady‐state existing benchmark when the values of nondimensional time are considered large. Significant results from the analysis show that at the transient time and in the simultaneous occurrence of suction/injection at the microchannel walls, higher values of ion slip current have no considerable influence on flow formation along the primary flow direction, whereas an oscillatory phenomenon is observed along the secondary flow direction. It is also significant to note that at a transient time, magnetic induction could be improved or controlled by choosing favorable values of the suction/injection parameter.

Unsteady MHD fluid flow over an inclined plate, inclined magnetic field and variable temperature with Hall and Ion-slip current

Unsteady MHD fluid flow over an inclined plate, inclined magnetic field and variable temperature with Hall and Ion-slip current

Hall and ion slip radiative flow of chemically reactive second grade through porous saturated space via perturbation approach

The heat and mass transfer of an unstable free-convective laminar outpour of an incompressible dense and electrically conducting fluid across a permeable plate in the existence of a transverse magnetic domain is investigated in this article, taking into consideration Hall and ion slip currents. It is necessary to change the main governing equations of the issue into a system of non-dimensional differential equations before solving it analytically using the perturbation approach. For externally heated and cooling plates, the image depicts the influence of relevant factors on primary and secondary speeds, temperature, and concentration. Last but not least, numerical values of the Nusselt numeral and skin friction, as well as Sherwood digits around the plate, are addressed for a variety of values of significant factors and are given in a tabular format. It has been monitored that the resultant velocity diminishes as the magnetic field strength increases. The Hall and ion-slip specifications and the radiation absorption parameter enhances in value as the velocity increases. The temperature of the liquid declines as the Prandtl numbers and radiation absorption increase in importance.

Modeling of three dimensional Prandtl hybrid nano-material over a heated rotating cone involving hall and ion slip currents via finite element procedure

Flow in a rotating cone for magnetized Prandtl fluid model is inspected in this investigation. The momentum equation of Prandtl model is derived under the consideration of Hall and ion slip effects and heat transport phenomenon is considered with Joule heating and viscous dissipation effects. The model of Hamilton Crosser and Yamada Ota are considered for the empirical relations of nanofluid mixture. The flow presenting expression of Prandtl fluid model with thermal transport is modeled under boundary layer approximation in the form of partial differential equations (PDEs). The derived PDEs have been converted into set of coupled nonlinear ordinary differential equations (ODEs) by engaging an appropriate scaling group transformation and these converted nonlinear set of ODEs have been tackled numerically via finite element scheme (FES). Impact of different emerging parameters has been displayed graphically and the physics behind the observed phenomena is explained in detail. The convergence of FES is established by carrying the grid independent survey. From the performed investigation, it is recorded that the parameters appear due to Hall and Ion slip currents enhance the fluid velocity but the inverse behavior is recorded for temperature profile.

Ramification of Hall and Ion-Slip Currents on Electro-osmosis of Ionic Hybrid Nanofluid in a Peristaltic Microchannel

Ramification of Hall and Ion-Slip Currents on Electro-osmosis of Ionic Hybrid Nanofluid in a Peristaltic Microchannel

Non-Isothermal Fluid Flow through a Rotating Curved Duct with Aspect Ratio of 3 in the Presence of Magnetic Field, Hall, and Ion-slip Currents

A fully developed non-isothermal, steady, incompressible, viscous fluid flow passes along the centerline direction of a rotating curved duct with a large aspect ratio in the presence of the magnetic field; Hall and Ion-slip current are investigated in this study. This duct is generated by keeping the heated outer and cooled inner walls; the lower and upper walls are adiabatic. The gravitational force, pressure gradient force, Lorentz force, Coriolis force, and centrifugal force act on the flow as an external force. These forces are generated due to action of gravity, pressure on the flow, magnetic field with Hall and Ion-slip current, rotation, and curvature of the duct respectively. The pressure gradient forces (namely Dean Forces) are applied in the centerline direction of the duct. Therefore, the flow is accelerated along the centerline direction of the curved duct. The numerical solutions are carried out by the spectral method as the primary tool. In contrast, the Newton-Raphson, Chebyshev polynomial, Collocation, and Arc-length methods are used as secondary tools. The effects of the parameters, namely Grashof number (Gr), Taylor number (Tr), Dean Number (Dn), magnetic parameter(M), Hall parameter (m), and Ion-slip parameter (?) on the flow of the velocity and temperature profiles are investigated by the solution curve for the flux versus above mentioned parameter separately and their corresponding flow structures are studied at several cross-sections on the curved duct. As the new findings, the results have been shown under the various values of M, m and ? at Dean Number Dn=300 curvature of the duct ?=0.1 and Taylor number is at Tr=20.

Non-isothermal magnetohydrodynamic fluid flow along the centerline in a rotating curved square duct with Hall and ion-slip current

This study is considered a fully developed non-isothermal, viscous, incompressible fluid flow that passes through the centerline of a rotating square curved duct in the presence of the magnetic field with Hall and ion-slip current. This non-isothermal duct is generated by keeping the heat on the outer wall and cool on the inner wall; the upper and lower walls are taken as adiabatic. The aspect ratio of the duct is taken l = 1 so that the duct cross section is viewed as square. The gravitational force acts on the flow as an external force, and a pressure gradient force (namely, Dean number effects) has been applied along the centerline of the duct. Due to the rotation of the system and the duct curvature, the flow is influenced by the centrifugal and Coriolis forces. The calculations are carried out by the spectral method as the primary tool, while the Chebyshev polynomial, collocation method, Newton–Raphson method, and arc-length method are used as secondary tools. The focus is to show the effects of the magnetic parameter (M), Hall parameter (m), and ion-slip parameter (α) on the flow characteristics of this rotationally curved square duct. The new findings have been shown in various values of M, m, and α for the three cases of Dean numbers, such as case I: Dn = 1000, case II: Dn = 3000, and case III: Dn = 5000, with different curvatures, while the rotational parameter is fixed at Tr = 20. Here, it is considered that Dn, Gr, Tr, M, m, and α are varied, while the curvature of the duct δ ranges from 0.01 to 0.5.

Electromagnetic phenomena in cilia actuated peristaltic transport of hybrid nano-blood with Jeffrey model through an artery sustaining regnant magnetic field

The development of nanobiotechnology is still flourishing over the decades and the design and application of composite nanomaterials in biomedical engineering have turned out to be an emergent research topic in current era. Enlightened by the novel perspectives in this direction, the current simulation aims to illuminate the consequences of electromagnetic phenomena (Hall and ion-slip currents) on cilia-aided peristaltic transmission of hybrid nano-blood through an arterial tube under a dominated magnetic field. The Jeffrey rheology is engaged to mimic the non-Newtonian attributes of hybrid nano-blood. The model equations are mapped from the laboratory frame to wave frame and simplified by using lubrication estimates and solved by implementing the homotopy perturbation method. The graphical upshots expose that Hall and ion-slip parameters have an attenuating behavior on bloodstream in an artery while contrary consequence is recorded for intensifying magnetic field. The blood is insisted to be cooled by expanding hybrid nanoparticle volume fractions. Moreover, the trapping of bolus is augmented by incrementing cilia length due to more powerful and effective recovery stokes of cilia. This research study may be beneficial to medical experts and researchers for a comprehensive insight into functionality and diseases of embryological organs, renal systems, and respiratory tracts, etc.

Numerical study on non-Fourier heat and mass transfer in partially ionized MHD Williamson hybrid nanofluid

This article aims to analyze the combined effects of Hall and ion slip currents, Darcy-Forchheimer porous medium, and non-uniform magnetic field under the suspension of hybrid nanoparticles. The flow situation is transformed into mathematical problems using conservation laws and correlations among thermophysical properties of base fluid nano and hybrid nanoparticles. These mathematical models are approximated under boundary layer (BL) approximations. The similarity analysis is performed and the finite element method (FEM) is deployed for the simulations and further investigations regarding non-Fourier behavior of heat and mass transfer. The present results have good agreement with the published benchmark which is a special case of present work. The numerical simulations for the motion of fluid particles under the variation of Weissenberg number are observed and it is noticed that fluid motion decelerates for higher values of Weissenberg number. Significant retardation to the motion of the fluid is seen because of an increase in the Darcy porous medium parameter as an increase in it implies a decrease in the permeability of the porous. Thermal relaxation is the property of the fluid due to which it avoids thermal changes to maintain thermal equilibrium. Therefore, a remarkable decrease in the temperature of fluid exhibiting thermal relaxation characteristics is noticed. It is also noted from numerical experiments that Hall and ion slip currents are responsible to slow down the Ohmic dissipation phenomenon. Thus the property of ionized fluid helps in controlling the thickness of thermal BL. Numerical experiments have shown that the solutal relaxation time for hybrid nanofluid is greater than that for mono nanofluid. Mass diffusivity of the fluid with hybrid nanofluid is less than that of mono nanofluid.

Hall and ion-slip currents’ role in transportation dynamics of ionic Casson hybrid nano-liquid in a microchannel via electroosmosis and peristalsis

Hall and ion-slip currents’ role in transportation dynamics of ionic Casson hybrid nano-liquid in a microchannel via electroosmosis and peristalsis