Magnetohydrodynamic Fluid Flow Research Articles

Sensitivity analysis of electroosmotic magnetohydrodynamics fluid flow through the curved stenosis artery with thrombosis by response surface optimization

The current numerical investigation focuses on the sensitivity analysis of the pertinent parameters of the electrically conducting fluid (blood) with the suspension of Al2O3 nanoparticles through the constricted arteries in the presence of stenosis, thrombosis and catheter. The mathematical model is developed to simulate the blood flow through the catheterized artery having irregular stenosis at the wall and thrombosis at the centre. The interactions of different physical phenomena like electroosmosis, radiation, Joule heating and a uniform radial magnetic field actuate the fluid flow. The nanoparticles shape effect is taken into account by considering the Crocine model. The governing equations are discretized by employing the Crank-Nicolson scheme, and the graphical portrayals for the impact of significant parameters on the flow characteristics have been devised and discussed. The statistical experiment is designed based on the parametric range of the parameter. The sensitivity analysis is performed on response surfaces after getting the best-fitted response surface relative to each response variable. The WSS profile negatively correlates with hematocrit parameter hm, Hartmann number M and positively related with Debye–Huckel parameter qe, while the reverse trend is observed for the impedance profile. The present work may be helpful in biomedical engineering, such as magnetic resonance angiography (MRA), which creates artery images. The integrated medical imaging and hemodynamic framework assist surgeons and researchers in better understanding the abnormalities caused by cardiovascular diseases and gaining a deeper grasp of the hemodynamic flow and other bodily fluids for surgical restoration.

Viscous Dissipation Effect on Magnetohydrodynamics Fluid Flow Over an Exponential Surface with the Influence of Thermal Radiation and Thermal Diffusion

This present investigation studies the effect of viscous dissipation in magnetohydrodynamics fluid flow over an exponential surface subject to the influence of thermal radiation and thermal diffusion. The coupled nonlinear guiding equations responsible for the flow, heat and mass transports presented as partial differential equations are revamped to the associated ordinary differential equation by application of the associated similarity variables and solved by Galerkin Weighted residual method (GWRM). The results of various parameters encountered are analyzed with graphs while the Sherwood number, Nussetl number, and local skin friction are computed and discussed. The study demonstrates, among other things, that the fluid has a strong thermal conductivity at low Prandtl numbers and that heat diffuses from the surface more quickly at low Prandtl numbers in comparison with the higher values.

Coupled Dufour and Soret Effects on Hybrid Nanofluid Flow through Gyrating Channel Subject to Chemically Reactive Arrhenius Activation Energy

This study explores the magnetohydrodynamic fluid flow through two rotating plates subjected to the impact of microorganisms. The nanoparticles of copper and alumina are mixed with water for formulating hybrid nanofluid with new combination C u + A l 2 O 3 + H 2 O . This new combination augments the thermal conductivity of pure fluid. The flow is influenced by the coupled effects of Dufour and Soret diffusions. The joined effects of chemically reactive activation energy have been incorporated in the mass transportation equation. A constant magnetic field has been employed to the flow field with strength B 0 in normal direction to the plates. The equations that controlled fluid flow have been transferred to dimension-free form by implementing suitable set of variables. The influence of the different factors has been examined theoretically by employing the graphical view of different flow profiles. It has been concluded in this work that, linear velocity has declined by augmentation in magnetic factor and rotational parameter whereas these factors have enhanced microrotational profiles of fluid. Higher values of radiation parameter, Dufour number, and volumetric fractions have augmented fluid’s thermal profiles. The concentration of fluid has been retarded with upsurge in Soret number and chemical reaction parameter whereas growth in activation energy parameter has supported the upsurge in concentration. The rate of motile microorganisms has retarded by upsurge in the values of Lewis and Peclet numbers. It has been noticed that when K r , M , and R e varies from 0.2 to 0.6 then in case of nanofluid, skin friction changes from 0.288 to 0.633 at ϕ 1 = 0.01 and from 0.292 to 0.646 at ϕ 1 = 0.02 and in case of hybrid nanofluid the variations in skin friction are from 0.328 to 0.646 at ϕ 1 , ϕ 2 = 0.01 and from 0.335 to 0.703 at ϕ 1 , ϕ 2 = 0.02 .

Analysis of chemical, ion slip, and thermal radiation effects on an unsteady magnetohydrodynamic dusty fluid flow with heat and mass transfer through a porous media between parallel plates

BackgroundInvestigating the dusty fluids flow attracted substantial attention in latest years because of their widespread utility within several industrial applications, including polymer technology, gas cooling systems, combustion, petroleum industry, and transport processes. The current article is dedicated to inspect the flow with mass transfer and heat of an unsteady Magneto-hydrodynamic dusty fluid. Consequently, impacts of chemical and thermal radiation, Joule, ion slip, Hall, and viscous dissipation toward heat and mass transferring and fluid flows are provided.ResultsNumerical solution of the controlling partial differential equations was performed. The temperature, velocity, and distribution of concentration for the particle and fluid phases were inspected under the influences of various physical parameters and their discussion was supplemented with diagrams.ConclusionsThe findings specify that these parameters have a significantly governed the solutions. The thermal radiation denotes efficiency enhancement of temperature distribution.

Hydro-dynamically and thermally fully developed flow analysis of magneto-hydrodynamic fluid through annular duct

A hydro-dynamic thermal fully developed forced convective heat transfer analysis of magneto-hydrodynamics fluid flow through an annular sector duct is presented in this paper. Two types of thermal boundary conditions i.e., axially uniform heat flux along with peripherally uniform temperature (known as H1-condition) and, axially and peripherally uniform temperature (known as T condition), have been considered to carry out the thermal analysis of fluid. The velocity components along r and [Formula: see text] direction are transformed into algebraic form by using power law discretized scheme, whereas cross-sectional pressure [Formula: see text] is estimated with the help of well know technique [Formula: see text]. The governing partial differential equations are solved by numerically with the help of [Formula: see text] code. Furthermore, simulated results have been compared with the existing results of literature to validate the results. From the results, it is noted that hydro-dynamically and thermally impacts relate directly by increasing the Hartman number, (M). It is further reported that the effect of magnetic field becomes insignificant for the higher number of fins, N. The findings of the present analysis will be applicable in various types of thermal systems.

The magnetohydrodynamic flow of viscous fluid and heat transfer examination between permeable disks by AGM and FEM

This paper studied a two-dimensional steady, laminar, and incompressible viscous fluid between two porous disks in outer magnetic amplitude. The invention in this essay is broken down into two interconnected parts. In the first part, the dimensionless equations of the nanofluid flow passing between two disks are investigated using the Akbari-Ganji Method (AGM). The findings are compared with those obtained using the numerical method. In the second section, the Finite Element Method (FEM) in CFD software was used to analyze the fluid pressure, velocity, and temperature parameters of two MWCNT and SWCNT nanotubes. Sliding at the limits shifts the turning point toward the upper disc. It is observed that the magnitude of the axial velocity reduces as the Reynolds number increases at any point in the space between the discs. Two critical areas within the fluid locale where the fluid is persistent despite changes in significant parameters are uncovered by contrasts in radial velocity profiles. The heat transmission rate at the lower penetrable circle consistently diminishes within the nearness of slip as the Reynolds number increments. Also, the inverse is genuine at the upper permeable plate.

Mixed convective magnetohydrodynamic flow of hybrid fluid with viscous dissipation: A numerical approach

The aim of this analysis is to examine hybrid fluid (Ag + Cu/C12H26- C15H32) by a stretched surface. Flow is analyzed in the stagnation point region while a constant uniform magnetic field is implemented normally to the flow. Heat transfer analysis is explored by taking convective boundary, mixed convection, and viscous dissipation. Mathematical modeling (PDEs) of the physical problem is performed. These modeled PDEs are further reduced into ordinary differential equations (ODEs) by implementing adequate variables (transformations). To make the situation favorable, the first order system of ODEs is obtained from these ODEs and solved via the shooting technique and RK-4 method. Solutions are obtained graphically. The impact of different physical parameters on velocity, skin friction coefficient, temperature, and Nusselt number are visualized via bar graphs by considering all three fluids (basefluid (C12H26- C15H32), nanofluid (Ag/C12H26- C15H32), and hybrid fluid (Ag + Cu/C12H26- C15H32)) is noted. Comparison amongst basefluid (C12H26- C15H32), nanofluid (Ag/C12H26- C15H32), and hybrid fluid (Ag + Cu/C12H26- C15H32)) is visualized via pie charts. Higher magnetic parameter causes reduction in velocity profile while it is intensified by mixed convection and velocity ratio parameters. Temperature boosts with increment in Eckert number, thermal Biot number, magnetic and mixed convection parameters. Skin friction is controlled via higher mixed convection and velocity ratio parameters. Heat transfer is intensified by higher Eckert and thermal Biot numbers.

The Effects of Reduced Gravity and Radiative Heat Transfer on the Magnetohydrodynamic Flow Past a Non-Rotating Stationary Sphere Surrounded by a Porous Medium

In the present study, the effects of reduced gravity and solar radiation on the magnetohydrodynamics (MHD) fluid flow and heat transfer past a solid and stationary sphere embedded in a porous medium are investigated. A model describing the considered configuration is put in dimensionless form using appropriate dimensionless variables and then transformed to primitive form for a smooth algorithm on a computing tool. A primitive form of the model is solved by employing the finite difference method. Solutions for variables of interest, such as velocity distribution and temperature field, along with their gradients, are depicted in graphs and tables. The main goal of the paper is to study the physical impact of reduced gravity on heat transfer and fluid flow around a sphere surface inserted in a porous medium in the presence of an applied magnetic field and solar radiation. The effects of the governing parameters, which are the reduced gravity parameter, magnetic field parameter, radiation parameter, porous medium parameter, and the Prandtl number, are discussed and physically interpreted. The displayed solutions indicate that velocity rises with the reduced gravity and solar radiation parameters but decreases with augmenting the Prandtl number, magnetic field parameter, and porous medium parameter. It is deduced from the presented results that the temperature becomes lower by increasing the values of the reduced gravity parameter and the Prandtl number, but, on the other hand, it becomes higher by increasing the values of the magnetic field, the porous medium, and the radiation parameters at all the considered positions of the surface of the sphere. A comparison between the present and already published results is performed to check the validity of the proposed numerical model.

Mechanical characteristics of MHD of the non-Newtonian magnetohydrodynamic Maxwell fluid flow past a bi-directional convectively heated surface with mass flux conditions

In engineering and manufacturing industries, stretching flow phenomena have numerous real-world implementations. Real-world applications related to stretched flow models are metalworking, crystal growth processes, cooling of fibers, and plastics sheets. Therefore, in this work, the mechanical characteristics of the magnetohydrodynamics of the non-Newtonian Maxwell nanofluid flow through a bi-directional linearly stretching surface are explored. Brownian motion, thermophoresis, and chemical reaction impacts are considered in this analysis. Additionally, thermal convective and mass flux conditions are taken into consideration. The mathematical framework of the existing problem is constructed on highly non-linear partial differential equations (PDEs). Suitable similarity transformations are used for the conversion of partial differential equations into ordinary differential equations (ODEs). The flow problem is tackled with the homotopy analysis method, which is capable of solving higher-order non-linear differential equations. Different flow profiles against various flow parameters are discussed physically. Heat and mass transference mechanisms for distinct flow factors are analyzed in a tabular form. The outcomes showed that both primary and secondary velocities are the declining functions of magnetic and Maxwell fluid parameters. The heat transfer rate rises with the cumulative values of the Brownian motion and thermal Biot number. In addition, the mass transfer rate decreases with the rising Schmidt number, Brownian motion parameter, and chemical reaction parameter, while it increases with the augmenting thermophoresis parameter. It has been highlighted that streamlines in the current work for Maxwell and Newtonian models are in fact different from one another.

The effect of oscillating streams on heat transfer in viscous magnetohydrodynamic MHD fluid flow

The effect of oscillating streams on heat transfer in viscous magnetohydrodynamic MHD fluid flow

The exploration of thin liquid film flow under the influences of various physical parameters by a new analytical innovation

AbstractA new analytical innovation is utilized to explore the thin liquid film flow of magnetohydrodynamic (MHD) fluid over an unsteady porous stretching surface. Here magnetic field, thermal radiation, and variable viscosity are taken. The self‐similarity variables have been used to transform the modeled partial differential equations into a set of non‐linear coupled differential equations. These non‐linear differential equations for the velocity and temperature profiles have been tackled through an innovation containing homotopy, auxiliary functions, and convergence control parameters. This method is called the second configuration of the Optimal Homotopy Asymptotic Method and is denoted by (OHAM‐2). Galerkin's process is chosen for the optimizations of parameters. The achieved coupled equations are also solved numerically (ND‐Solve Method), and the obtained outcomes are compared with the results elaborated by the suggested algorithm. Here the utmost attention is on the rapid convergence of the proposed algorithm and the consequences of various tangible variables on the velocity and temperature profiles. This straightforward algorithm consists of a few steps but gives better outcomes. The technique can be applied to solve partial differential equations and their systems forming in various disciplines. This technique can also solve Integro differential equations. The residuals achieved by the proposed method for the velocity and temperature fields are shown graphically. The errors and residuals are also taught in Table 1 and Table 2. The effects of parameters are inculcated in Table 3 and Table 4. The results are validated with the published work as shown in Table 5. Nomenclature is indicated in the text below.

Impact of magnetohydrodynamics in bidirectional slip flow of Maxwell fluid subject to stretching, radiation, and variable properties

The viscosity of fluids varies according to changes in pressure, temperature, and shear rate. As a consequence, it is essential to look at specific qualities in the paper industry, plastics extrusion in Rayon and Nylon production, the textile sector, and other industries. In such a way, the model is more precisely anticipated when the flow configuration comprises the viscosity and thermal conductivity of the fluid as a function of temperature. Owing to the importance of variable viscosity and thermal conductivity, this article highlights the importance of the magnetohydrodynamic (MHD) flow of Maxwell fluid over a bidirectional stretched surface. Fluid is electrically conducting in the presence of an applied magnetic field. Heat transfer analysis is carried out in the presence of thermal radiation and heat generation/absorption. A system of ordinary differential equations is obtained by appropriate transformations. Numerical solutions are computed for the resulting nonlinear differential system by applying the shooting method with the RK-5 scheme. The impact of different parameters on the velocity, temperature, and concentration profiles is examined. Computations for surface drag force, heat, and mass transfer rates are presented and examined for the influences of pertinent parameters. It is observed that fluid velocity reduces for larger Maxwell fluid parameter. Increasing values of thermal radiation parameter correspond to the enhancement in temperature. Mass transfer rate enhances for larger Schmidt number while heat transfer rate is increasing function of Prandtl number.

Exploration of Newtonian Heating, Viscous Dissipation Effects on MHD Mixed Convection Flow of Williamson Fluid Against Radially Stretched Penetrable Wedge: A Numerical Study

An investigation on framing the features of Newtonian heating, suction/blowing, viscous dissipation on magneto hydrodynamic mixed convective Williamson fluid flow over a porous stretching wedge that is influenced by thermal radiation. The con-temporary model is employed to simulate the non-Newtonian behavior of fluid over porous wedge which stretches faster or slower than free stream velocity. Practical applications of wedge flow are drug delivery, cancer treatment, biotechnology and biomedicine. Initially, the major partial differential equations are transformed into ordinary differential equations via a suitable set of similarity transformation and then solved by the developed bvp4c algorithm in MATLAB. A comprehensive analysis of definite parameters on the profiles of velocity, temperature, [Formula: see text], and skin friction coefficient is explained and scrutinized. The results indicate that elaboration in [Formula: see text] and We shows a decline in velocity profile at [Formula: see text] but an opposite trend for [Formula: see text]. However, temperature increases for both [Formula: see text]. Furthermore, (at [Formula: see text]), an augmentation in Pr results in uphill local Nusselt number. The consequences of the present exploration are compared with the existing works in specific situations and more agreement has been perceived.

Transient MHD flow of fractional Burger's fluid model through a parallel microchannel with heat transfer and slip boundary condition

The combined influence of magnetic field, electro-osmotic flow (EOF), and pressure gradient on the unsteady magnetohydrodynamic fluid flow through a parallel microchannel is investigated. The Burger's liquid model is used for the fractional partial differential equation, which allows us to study the behavior of viscoelastic liquid velocity profile in the parallel microchannel. The Laplace transform (LT) in concert with the Fourier cosine transform are used to obtain the analytical solution of the velocity profile. Furthermore, using the method of separation of variables, the energy equation, Joule heating, energy dissipation, and electromagnetic effects are calculated to obtain the temperature within the microchannel. The influence of some relevant parameters like heat transfer, temperature distribution, Hartmann number (Ha), and Brinkman number (Br) on fluid flow velocity are presented graphically and discussed. The results obtained show that temperature decreases with Ha and Br of the transverse electric field for slip flow. Close to the middle of the microchannel, fluid flow velocity increases with decrease in the delay time parameter value and increase in the Burger's parameter value, while the opposite trend is found for the velocity near to the middle of the microchannel. In addition, Burger's liquid is quite general, such that Oldroyd-B, Maxwell, and Newtonian liquids are readily obtained as limiting cases. The study is significant in the application fields of chemical analysis and biological analysis, drug delivery, bacteria detection, and some others.

Magnetohydrodynamic Flow of Third Grade Fluid In a Cylindrical Pipe with Isothermal Wall and Joule Heating

Magnetohydrodynamic Flow of Third Grade Fluid In a Cylindrical Pipe with Isothermal Wall and Joule Heating

Computational Treatment of Magnetohydrodynamic Micropolar Fluid Flow Through Porous Medium Over an Exponentially Stretching Sheet with Heat Sink and Chemical Reaction Effects

The purpose of this research is to look into the magnetohydrodynamic boundary layer flow of Maxwell fluid across an exponentially stretching sheet with chemical reaction, and radiation impacts, that involves a heat sink. The PDE governing equation is converted to an ODE governing system. A Successive Linearization Method is then used to solve the system numerically. Graphically, the numerical outputs of, temperature, concentration profiles, and velocity are displayed. The results of several parameters are explored and examined. The numerical outcomes for the skin friction coefficient, local Nusselt number, Deborah number, local Sherwood number, and porosity are reported and analyzed. Based on the results, many characteristics have a considerable effect on fluid flow profiles. The reaction rate parameter had a significant impact on the concentration profile and the thickness of the boundary layer dropped as the reaction rate parameter was increased. The analyses’ findings were compared to those of previous studies and found to be in great agreement.

MAGNETOHYDRODYNAMIC FLOW AND HEAT TRANSFER THROUGH A CIRCULAR TUBE FILLED WITH HOMOGENEOUS AND HETEROGENEOUS POROUS MEDIUM

In this paper, we study the laminar steady flow of incompressible viscous magnetohydrodynamic (MHD) fluid inside a circular tube filled with homogeneous/heterogeneous porous medium. A transverse uniform/nonuniform magnetic field is applied, along with a uniform heat flux boundary condition. The Brinkman equation is used to model the flow through the saturated porous medium. Exact solutions of velocity and temperature fields, friction factor, and Nusselt number (<i>Nu</i>) in terms of the shape parameter (σ) and Hartmann number (<i>M</i>) are presented. In the limit of the zero shape parameter and the absence of magnetic field, the Brinkman model results converge to the Hagen-Poiseuille flow solution of circular pipe flow. In the opposite limit of the infinite shape parameter and the absence of magnetic field, the solutions approach the Darcy model results. In terms of the hydro-thermal characteristics of the flow, the Poiseuille flow results and the Darcy model results are shown to serve as the lower and upper bounds, respectively. A significant increase in the heat transfer in heterogeneous porous medium with the nonuniform magnetic field (highest <i>Nu</i> = 12) compared to homogeneous porous medium with uniform magnetic field is identified (highest <i>Nu</i> = 8). We also validate the results of homogeneous and heterogeneous porous medium with uniform/nonuniform magnetic field using numerical solutions.

Magnetohydrodynamic flow and mixed convection of a viscous fluid and a nanofluid through a porous medium in a vertical channel

This paper analyzes the MHD flow and heat transfer of a pure fluid and a nanofluid through a porous medium in a vertical channel. The right half of the channel contains the pure fluid and the left half contains the nanofluid, which is immiscible with the pure fluid in the right half. Channel walls are impermeable and at constant temperatures. An external homogeneous magnetic field perpendicular to the channel walls is applied on the channel. Darcian approach is used to model the porous medium. Relevant differential equations are solved using the perturbation method. Velocity and temperature distributions are determined analytically and represented graphically, while the values of skin friction and Nusselt number on the channel walls are given in a table for multiple values of the introduced physical parameters. The results are used to draw conclusions about the influence of the said physical parameters on velocity and temperature distributions and on the values of skin friction and Nusselt number on the channel walls.

Slip Condition Effects on Unsteady MHD Fluid Flow with Radiative Heatflux over a Porous Medium

The objective of this paper is to study unsteady magneto hydrodynamic (MHD) free flow of viscoelastic fluid (Walter’s B) past an infinite vertical plate through porous medium. The temperature is assumed to be oscillating with time. The solution obtained shows different profiles of effects of slip conditions on primary and secondary velocity. Also, the effects of various parameters on temperature, concentration, primary and secondary velocity profiles were presented graphically. The result indicated the secondary velocity is enhanced with increase in slip parameter. Primary velocity demonstrated opposite trend.

Nano- and micro-polar magnetohydrodynamic fluid-flow and heat transfer in inclined channel

Magnetohydrodynamic (MHD) fluid flows attract a lot of attention in the extrusion of polymers, in the theory of nanofluids, as well as in the consideration of biological fluids. The considered problem in the paper is the flow and heat transfer of nano and micropolar fluid in inclined channel. Fluid flow is steady, while nano and micropolar fluids are incompressible, immiscible, and electrically conductive. The upper and lower channel plates are electrically insulated and maintained at constant and different temperatures. External applied magnetic field is perpendicular to the fluid flow and considered problem is in induction-less approximation. The equations of the considered problem are reduced to ordinary differential equations, which are analytically solved in closed form. The influence of characteristics parameters of nano and micropolar fluids on velocity, micro-rotation and temperature fields are graphically shown and discussed. The general conclusions given through the analysis of graphs can be used for better understanding of the flow and heat transfer of nano and micropolar fluid, which have a great practical application. Fluids with nanoparticles innovated the modern era, due to their comprehensive applications in nanotechnology and manufacturing processes, while the theory of micropolar fluids explains the flow of biological fluids and various types of liquid metals and crystals.