Magnetic Fluid Flow Research Articles

Influences of Newtonian heating and Darcy's law in micropolar fluid flow over a magnetized stretchable disk: A Bayesian analysis

A laminar two-dimensional magnetized micropolar fluid flow passed through a stretchable surface is examined. The axi-symmetric time-independent thermal flow experienced the impacts of Darcy's law, thermal conductivity, and Newtonian heating. The dimensionalized flow model is governed by similarity transformations. The resulting non-linear flow system is numerically solved through Runge-Kutta-Fehlberg (RKF-45) built in scheme. The graphics illustration of velocity and thermal fields for multiple physical parameters is presented. The numerical values at the disk surface for couple stresses, thermal rate, and shear stresses are also calculated. A Bayesian approach is used to assess the association degree amongst the under-study constraints and variables. The magnitude of the microrotational profiles is enhanced by the combined effect of micropolar parameters while an opposite effect is observed in microrotational field against magnetic and porosity parameters. The temperature field is modified through enhancing values of conjugate parameters. Moreover, such thermal field is larger for variable thermal conductivity as assumed to constant fluid property.

Heat transfer assessment of magnetized tangent hyperbolic fluid flow through porous disk using LWCM: Application in solar thermal power plant

Heat transfer assessment of magnetized tangent hyperbolic fluid flow through porous disk using LWCM: Application in solar thermal power plant

Steady state regimes in lid driven cavity flows of magnetic fluids in the presence of an external magnetic field

In this work, we study the flow of magnetic fluids in a square top lid driven cavity in the presence of an applied magnetic field. The magnetic field is generated by a steady electric current flowing through a wire placed underneath the cavity. The magnetization of the magnetic fluid is described by an evolution equation that combines magnetization relaxation, advection and interaction with the flow via the vorticity. The governing equations are solved via a vorticity-streamfunction formulation implemented in a finite difference scheme. The main governing physical parameters of the examined cavity flow are the Reynolds number, ranging from 50 to 500, the magnetic pressure coefficient, which measures the relative importance between magnetic and inertial forces, ranging from 0 to 1000, and Péclet number which is O(1) and measures the ratio between the magnetization relaxation time and the flow time scale. We have examined the different mechanisms which cause changes in the local fluid magnetization, i.e., flow vorticity and advection. In particular, we examine how vorticity of the flow intensifies deviations of the magnetization of the fluid with respect to the local equilibrium of magnetization. In addition, we identify a complex topological structure of the flow inside the cavity characterized by the magnetic effects that dominate the generation of secondary structures of vorticity induced by the effect of field gradient, orientation and a non-uniformity in the fluid magnetization inside the cavity.

Effect of magnetic needle magnetic particle grinding process on the performance of metal aluminum plates

Magnetic needle grinding processing technology is one of the magnetic grinding processing techniques. It possesses the characteristics of micro-cutting removal, small increase in processing temperature, flexible processing, high-quality, and high-precision processing. It is mainly utilized to remove burrs at the edge of the workpiece and the edge of the hole, as well as to finish the surface of the workpiece. It is frequently employed in civil, aerospace, navigation, and other fields. Due to the randomness and complexity of magnetic needle movement in magnetic abrasive finishing, it is difficult to quantify the processing parameters and predict processing effects. Therefore, this paper establishes a simulation model of magnetic needle in magnetic abrasive finishing by the coupling numerical simulation method of fluid dynamics discrete element method (CFD-DEM) to analyze the working state parameters of the magnetic needle. Through the simulation of actual working conditions, the machining process and parameters of magnetic abrasive finishing are quantified and analyzed, and the motion trend of magnetic needles during the machining process is studied. Then, the residual stress of single magnetic needle impact is analyzed with ABAQUS, and the performance enhancement of the workpiece is predicted. Finally, observations of surface morphology and validation of residual stress prediction were conducted through experiments on an aluminum plate. The results show that the residual stress of the aluminum plate is positively correlated with the number of strikes of the magnetic needle. The residual stress changes from tensile stress (+0.1 MPa) to compressive stress (-16.5 MPa). The comparison between simulation results and experimental results is good, indicating that the simulation model can comprehensively consider multiple factors such as magnetic field, particle motion, and fluid flow, and establish a magnetic needle magnetic grinding process model that is suitable for actual working conditions.

Physical analysis and thermal case of magnetized fluid flow and heat transfer via stretchable cylinder: Hall impact and entropy generation

The study of fluid flow in cylindrical shapes under the effect of electric fields is of utmost importance because of its vast applications in industrial, agricultural, and biomedical domains, as well as in drilling machines, equipment, transport brakes, and vehicles. The purpose of this research is to analyze the influence of Hall impacts, slippage effects, and thermal relaxation time on the magnetohydrodynamic flow near an extended cylinder or flat plate. An assessment of entropy generation is carried out. Results are determined by the process of elongating a planar surface and a cylindrical object. The velocity field and entropy production are greater in the case of a stretched cylinder compared to a stretching flat plate. The choice of an appropriate stretching surface may have an impact on the thermal conductivity of the boundary layer. Velocity, temperature, and entropy are influenced by several factors including the Eckert number, thermal relaxation time, transverse curvature, magnetic field, Hall effect, molecular slip, and mixed convection parameters. These characteristics influence the movement of fluid, the transfer of heat, the measure of disorder (entropy), and the Bejan number. The variables mentioned cause changes in skin friction and Nusselt values. The Hall effect has advantages in reducing friction and enhancing heat transfer in industrial and technical processes.

Regression analysis of magnetized fluid flow in a discretely heated square enclosure in the partially filled with porous medium using RSM-CCD

Regression analysis of magnetized fluid flow in a discretely heated square enclosure in the partially filled with porous medium using RSM-CCD

A novel study of the Cross nanofluid with the effects of inclined magnetic field in fuzzy environment

The abstract is categorized into the following sections as.Background: There are various challenges in the real life, which are required to deal with the specific intervals. Fuzzification is most appropriate way to find the solutions and can provide the accurate results of uncertain problems in specific intervals. Some conditions and imprecise parameters make the problems based on the fluid flow uncertain.Purpose: This current attempt focuses on the investigation of inclined magnetized Cross fluid flow in fuzzy conditions embedded with the chemical process with fuzzy complex conditions.Formulation: The governing system of modeled PDEs are tackled numerically with the utilization of finite difference method under fuzzy conditions at the boundary surface.Finding: The magnetic parameter intensifies the velocity field and induced magnetic field H. Amplification in viscosity parameter diminishes the velocity.Novelty:α‐cut technique for the case of fuzzified Cross fluid has not been studied in the accessible literature.

Numerical study of molten salt flow and heat transfer in a pipe applied non-uniform magnetic field

Based on the magnetohydrodynamics model, this study numerically investigated the influence of a transverse non-uniform magnetic field on the flow and heat transfer characteristics of molten salt in a conductive pipe. The magnetic field was constructed with three sections including gradient and uniform regions, which was fitting to real application of the magnetic field. The flow and heat transfer of molten salt were studied within the ranges of 0 ≤ Ha ≤ 200 and 3000 ≤ Re ≤ 12 000. The results indicated that variation of magnetic field had significant effects on the flow velocity, turbulent intensity, and Joule heat, thus influencing the temperature and the Nusselt number of molten salt. Although the flow in core region was suppressed by the magnetic field, the flow velocity was enhanced and turbulence was reduced near the pipe wall, which was shown obviously different within three regions of the magnetic field. An interesting phenomenon of local heat transfer enhancement with increasing magnetic intensity was observed in the first section of the magnetic field, which was from the complex effects of flow velocity and turbulence. In addition, the Joule heat was calculated and analyzed to determine its influence on heat transfer under the magnetic field. A detailed analyzation of magnetic fluid flow in this study was provided to hopefully promote the molten salt in real application of flow and heat transfer.

Viscous dissipation effect on amplitude and oscillating frequency of heat transfer and electromagnetic waves of magnetic driven fluid flow along the horizontal circular cylinder

The significant importance of present research is to remove the extreme temperature along the magnetic driven horizontal circular cylinder. The induced electromagnetic field is applied around the surface of cylinder. The main novelty of current research is to control thermal and magnetic boundary layer in the presence of viscous dissipation and induced electromagnetic field. The dimensional mathematical form is developed with defined boundary conditions. The dimensional equations are transformed into dimensionless equations to generate physical factors. The primitive form is used to reduce dimensionless equations into convenient form for smooth algorithm. The finite difference method with Gaussian elimination technique is applied for numerical results in FORTRAN language tool. The velocity, temperature and electromagnetic field are sketched graphically with asymptotic sequence. The oscillatory shear stress, oscillating heat rate and periodical current density is plotted graphically and numerically. It is found that fluid velocity improves significantly as buoyancy force increases around each position. It is noticed that the increasing oscillations in heat transfer are sketched for maximum choice of Prandtl number. It is found that the maximum oscillations in current density are obtained for each Eckert parameter. It is noticed that the significant distribution in temperature profile is obtained in the presence of viscous dissipation and magnetic field.

ANN model for magnetised Casson fluid flow under the influence of thermal radiation and temperature stratification: Comparative analysis

AbstractThe article compares the performance of multi‐layer back‐propagated neural networks using the Levenberg–Marquardt (LMS) method and Bayesian Regularization Scheme (BRS) for analysing heat transfer in magnetized Casson fluid over flat and cylindrical surfaces. Factors like mixed convection, Joule heating, thermal radiation and temperature stratification are considered. Both LMS and BRS prove effective in handling complex interactions in numerical studies. Non‐linear ODE systems are solved using a shooting technique to obtain Nusselt number datasets, which are then divided for training, testing and validation purposes. The accuracy of the artificial neural network (ANN) results is confirmed by the agreement between predicted and target Nusselt numbers. Analysis of mean square error (MSE), regression fitness and error histogram further validates ANN adeptness. Furthermore, heat transfer rate is increasing for the Casson parameter, Grashof number and radiation parameter, while, it declines for stratification parameter, Prandtl and Eckert number. The study explores the impact of various parameters on velocity and temperature profiles, revealing that ANN provides accurate Nusselt number results for both flat and cylindrical surfaces. The research contributes a novel perspective to understanding ANN behaviour in heat transfer analysis, particularly for magnetized Casson fluid flow over two stretching surfaces.

IMPACT OF POROUS AND MAGNETIC DISSIPATION ON DISSIPATIVE FLUID FLOW AND HEAT TRANSFER IN THE PRESENCE OF DARCY-BRINKMAN POROUS MEDIUM

In this article, the boundary layer flow of an electrically-conducting fluid through a porous medium attached with a radiative permeable stretching sheet is analyzed. Following the Brinkman theory, an extended Darcy model (Darcy-Brinkman model) is utilized for the model momentum equation. Heat transfer analysis is also performed in the presence of viscous and Joule dissipation. Moreover, in the modeling of the energy equation, the effects of internal heating resulting from the mechanical effort required to squeeze out the fluid through the porous medium are also included in porous dissipation. Suitable dimensionless variables are introduced to convert the governing boundary layer equations into a dimensionless form, which are then converted into self-similar, nonlinear ordinary differential equations by utilizing similarity transformations. The exact solution of the nonlinear self-similar momentum equation is obtained in the form of the exponential function. In contrast, the solution of the energy equation is computed through the Laplace transform technique in the form of Kummer confluent hypergeometric functions. Effects of involved physical parameters on the momentum boundary layer (MBL), thermal boundary layer (TBL), wall shear stress, and local Nusselt number are explored through graphs and tables. Moreover, the slope linear regression (SLR) technique is used to calculate the rate of decrease/increase in shear stress and the rate of heat transfer at the boundary. The velocity and momentum boundary layer decreases for large values of porosity parameter and increases by increasing the viscosity ratio. The shear stress increases by increasing the porosity parameter, Hartman number, and suction parameter, while the opposite effect is examined with increasing values of viscosity ratio parameter. Heat transfer rate also enhances by increasing the Brinkman viscosity ratio parameter and wall suction velocity.

Impact of a Magnetic Dipole on Heat Transfer in Non-Conducting Magnetic Fluid Flow over a Stretching Cylinder

Impact of a Magnetic Dipole on Heat Transfer in Non-Conducting Magnetic Fluid Flow over a Stretching Cylinder

Simulation of fourth‐grade magnetized fluid flow due to motile cilia in a heated curved channel

AbstractThis research aims to investigate the main features of the ciliary flow of fourth‐grade fluid in a curved channel. The fluid is considered electrically conducting with a radial magnetic field effect. The constitutive relation for energy is formulated with the addition of viscous dissipation and thermal radiation. The governing system of coupled partial differential equations with extremely nonlinear expressions is simplified using the long wavelength and low Reynolds number approximations. The numerical outcomes of simplified normalized equations are obtained using the finite difference method incorporating the relaxation algorithm. The numerical outcomes regarding the influences of several physical parameters on the temperature, velocity, pumping characteristics, and stream function are examined through graphs. The outcomes reveal that fluid velocity diminishes by enhancing the magnetic parameter. Also, the temperature is enhanced by enhancing the values of the Brickman number. The current model has been used in bioengineering processes, microfluidics, and drug delivery systems.

Darcy resistant of Soret and Dufour impact of radiative induced magnetic field sutterby fluid flow over stretching cylinder

The incompressible two-dimensional steady flow of Sutterby fluid over a stretching cylinder is taken into account. The magnetic Reynolds number is not deliberated low in the present analysis. Radiation and variable thermal conductivity are considered to debate the impact on the cylindrical surface. The Dufour and Soret impacts are considered on the cylinder. The mathematical model is settled by employing boundary layer approximations in the form of differential equations. The system of differential equations becomes dimensionless using suitable transformations. The dimensionless nonlinear differential equations are solved through a numerical scheme(bvp4c technique). The flow parameters of physical effects on the velocity, temperature, heat transfer rate, and friction between surface and liquid are presented in tabular as well as graphical form. The velocity function declined by improving the values of the Sponginess parameter. The fluid temperature is reduced by increment in curvature parameter.

Arrhenius activation energy effect in thermally viscous dissipative flow of micropolar material with gyrotactic microorganisms

The rheology of micropolar material with heat energy transport features is fully progressive, which allows considerable industrial and engineering applications. In this study, numerical analysis is presented to examine the micro-rotation characteristics of magnetized micropolar fluid flow towards the stagnation point region on a porous shrinking surface with gyrotactic microorganisms. To describe the convective energy transport features, Arrehenius activation energy, thermal radiation, Ohmic, and viscous dissipation effects are taken into consideration. The governing equations are converted into ordinary differential equations using appropriate similarity variables. The physical features of flow constraints are displayed and explained for velocity, thermal and solutal distributions, microorganism profile, as well as friction drag, couple stress, and energy transport rate. The results revealed that suction strength contributes to the increment of friction drag, couple stress, and energy transport rate, but the boosted values of the micropolar parameter lower the values of these physical quantities. For a specific range of the shrinking parameter, analysis confirmed the persistence of non-uniqueness solutions. Further, the microorganism profile declines as the bioconvection Lewis number and the bioconvection Peclet number increases. Additionally, according to time-dependent stability analysis, only the upper branch of solutions is physically stable, while the lower branch is not physically.

Convective non-conducting magnetic fluid flow and heat transfer due to the rotating cone in the presence of magnetic dipole

Convective non-conducting magnetic fluid flow and heat transfer due to the rotating cone in the presence of magnetic dipole

Magnetic fluid flow rate and thermal characteristics of hydraulic turbine spindle magnetic fluid seals

The flow and temperature properties of the magnetic fluid are the primary elements impacting the seal stability in the main shaft magnetic fluid seal of the turbine. This study investigated the eddy current and heat field of the magnetic fluid at the seal gap using a mix of numerical computation and experiment and came to the following conclusions: Under the pole tooth groove and the permanent magnet, the magnetic fluid creates symmetrical vortices in the clearance of the magnetic fluid seal device. Below the pole tooth, the magnetic fluid velocity is minimal and essentially constant. The pole shoe and spindle next to the air side of the magnetic fluid seal device have the lowest temperature, and the device’s core has the greatest temperature.

Numerical study of transient chemical reactive magnetized Casson fluid flow in the presence of Newtonian heating

ABSTRACT The numerical results of transient magnetohydrodynamic (MHD) Casson fluid flow under Soret-Dufour aspects are illustrated in this research. The governing dimensional equations of considered Casson fluids are first converted into dimensionless partial differential equations (PDEs) by utilizing the proper similar variables. The obtained system is then computed through the finite element method (FEM). The impact of dimensionless parameters is visualized on fluid velocity, skin friction, temperature, Nusselt number, concentration, and Sherwood number through the curves and tables. Both the temperature and velocity are risen against the higher Dufour number. It has been observed that the velocity profiles step up with the increment in various parameters. Comparisons are made with the available results in the open literature. These results are in good agreement with the previously published reports.

Analysis of an aligned magnetic nano-Casson fluid flow along with bio-convection based on Stefan's blowing

This theoretical study illustrates the effect of an inclined stretching sheet with bio-mixed convection, aligned magnetohydrodynamics (MHD), porous medium, Joule heating, viscous dissipation, the Buongiorno nanofluid model, and chemical reaction effects. Stefan blowing (SB) and partial slips, as well as our presumptions and laws, like the conservation of mass, momentum, and energy, must all be taken into consideration when solving our partial differential equations (PDEs). Similarity transformations are used in the context of a gyro-tactic motile microorganism flowing through an inclined stretched surface to produce ordinary differential equations (ODEs). The BVP4C method generates numerical results for different parameters through MATLAB programming. Additionally, a numerical and graphical exploration of the effects of numerous developing variables on the velocity, temperature, concentration, and density of motile bacteria is done. To verify the accuracy of the numerical model, the findings of the numerical research are compared to experimental data. Microbial distribution decreases with both negative and positive SB (suction and injection) attitudes, as indicated by the Peclet number and microbe movement coefficient. The mobility of microorganisms increases with higher values of the Lewis number, which governs their motility. The Lewis number and chemical reaction parameters affect the volume fraction transfer during the flow of the nano-Casson fluid in both the suction and injection cases of the SB effect, leading to increased concentration transfer.

Numerical study on radiative MHD flow of viscoelastic fluids with distributed-order and variable-order space fractional operators

The magnetohydrodynamic (MHD) flow has been concerned widely for its widespread adoption in the field of astrophysics, electronics and many other industries over the years. The purpose of this article is to introduce the variable and distributed order space fractional models to characterize the MHD flow and heat transfer of heterogeneous viscoelastic fluids in a parallel plates. Based on the central difference approximation of Riesz space fractional derivative, the Crank–Nicolson difference scheme for the governing equations is established, and the effectiveness of the algorithm is verified by two numerical examples. We examine the effects of fractional-order model parameters on the velocity and temperature, our investigation indicates that for the constant fractional model, the larger the fractional order parameter, the smaller the velocity and temperature. The variable space fractional method can be used to describe dynamic behavior with time and space dependence, while the distributed space fractional model can describe various phenomena in which the number of differential orders varies over a certain range, characterizing their complex processes over space, and it is also more suitable for simulating the fluid flow and thermal behavior of complex viscoelastic magnetic fluid.