Convective MHD Research Articles

Shape factor and thermal radiation effects on convective MHD flow of Casson blood ternary hybrid nano‐fluid through a stretched rotating rigid disk

AbstractThe mathematical modeling of blood flow with the incorporation of ternary hybrid nanoparticles (i.e., titania, silica, and alumina nanoparticles) is the focus of this work. The flow of blood is simulated using the Casson fluid model. The impacts of ternary hybrid nanoparticles, shape factor, and Geometry of solid nanoparticles are visualized and investigated. The momentum and thermal characteristics of a flowing liquid are determined by considering magnetization, porosity, and nonlinearized radiating thermal flux. The basic partial differential equations resulting from mathematical modeling are turned into non‐linear ordinary differential equations using suitable velocity transforms. The derived nonlinear equations are then numerically calculated using the 4th‐5th order Runge‐Kutta‐Fehlberg method with the shooting technique and analytically solved by the Adomian decomposition method (ADM). The effects of the factors involved on the dimensionless profiles produced are fully addressed. It is found that the Skin friction factor and heat transfer rate in the radial direction upsurge with the augment of both rotation parameter and nanoparticles volume fraction; however, the Skin friction factor drops in the azimuthal direction. Also, results obtained reveal an enhancement in the local Nusselt number with the upsurge in the magnitude of radiation parameter, Rd, solid nanoparticles concentration, , shape factor value, s, and disk temperature, . For validation, the outcomes of this inquiry were compared to the outcomes of the HAM‐based Mathematica software. In addition, the acquired analytical DRA data are compared to numerical RKF45 values and those given in the literature.

An Analytical Analysis of Mixed Convective MHD Casson Flow with Ramped Wall Temperature

This research discusses the behavior of magnetohydrodynamic Casson fluid subjected to a ramped wall temperature along an infinitely inclined plate. Non-Newtonian fluid, specifically the Casson fluid, is employed to characterize fluid behavior in this research. The effects of porous media, chemical reactions, and radiation are considered. In practical applications, non-Newtonian fluids find use in lubrication such as grease, engine oil, etc. The Laplace transform technique has been applied during this study where ordinary differential equations are converted from the governing partial differential equations with suitable boundary conditions. These transformed dimensionless equations are subsequently solved numerically with Mathematica, and we have achieved the exact solutions of momentum, followed by energy and finally concentration. In the results section, we have analyzed the behavior of flow features under varying conditions of key parameters, including the governing parameters, the unsteadiness parameter, and the Casson parameter. All the results are shown and analyzed in graphs.

On the Impact of Temperature and Space Dependent Heat Source/Sink with Richardson Number for the MHD Convection Flow of Nanofluid

On the Impact of Temperature and Space Dependent Heat Source/Sink with Richardson Number for the MHD Convection Flow of Nanofluid

3D MHD convection and entropy production in a rectangular cavity with localized heating: A study on conductive fluid dynamics

This study aims to investigate the magnetoconvection of an electrically conducting fluid within a rectangular enclosure through a comprehensive three-dimensional computational analysis. The enclosure has a hemispherical block for bottom heating and incorporates two elliptical sources with differing temperatures along its vertical sidewalls. The primary focus is to optimize heat transfer and fluid flow characteristics within this thermal system by analyzing various control parameters. The simulations were carried out with the relevant parameters of the problem, including the Rayleigh number [Formula: see text], Hartmann number [Formula: see text], the inclination of the magnetic field [Formula: see text], and the radius of the hemispherical block [Formula: see text]. Three distinct scenarios represent different positions for the localized heat sources. Among these configurations, the Middle–Middle (MM) arrangement is the most favorable, with the specific value for the radius [Formula: see text] yet to be determined. The findings highlight the effective control of heat transfer rate and irreversibility effects by manipulating the parameters [Formula: see text], [Formula: see text] and [Formula: see text]. It is demonstrated that selecting [Formula: see text] and [Formula: see text] values of [Formula: see text] and 15 allows for optimal thermal system configuration. A correlation with two variables [Formula: see text] expressing the rate of heat transfer through the cavity was established and verified. The analysis of the helicity confirms the predicted optimal case.

Numerical analysis of Soret/Dufour MHD convection in a NEPCM‐filled cavity with partial porous foam: Double pipe heat exchanger application

Numerical analysis of Soret/Dufour MHD convection in a NEPCM‐filled cavity with partial porous foam: Double pipe heat exchanger application

Convective MHD flow of Casson fluid through porous medium using the Darcy‐Forchheimer model under the impact of prescribed heat sources

AbstractBlood and other non‐Newtonian fluids are most appropriately described by a rheological model known as a Casson fluid. The presence of yield stress in Casson fluids makes them particularly relevant in the fields of biomechanics and polymer industries. In this analysis, a numerical simulation of flow of a Casson nanofluid over a stretching surface was estimated. The flow of fluid was subjected to a magnetic field of varying strength. The governing partial differential equations for momentum and heat transmission are converted into a set of nonlinear ordinary differential equations with the aid of similarity transformations. After that, numerical techniques are used to solve the equations. Figures and tables are utilized to illustrate how non‐dimensional parameters affect energy, concentration, and velocity trends.

Exploring the significance of nanoparticle shapes and the impact of thermal radiation on MHD viscoelastic nanofluid flow in porous channels

ABSTRACT This study investigates analytically the influence of nanoparticle shapes on an unsteady mixed convective viscoelastic MHD nanofluid flow in a horizontal channel with oscillating walls in a saturated porous medium. The effect of radiation is also considered in the energy equation. The considered NPs are Cu, Ag, Al2O3, TiO2, and Fe3O4, with base fluids H2O and C2H6O2. The considered different shapes of NPs are cylinder, platelet, blade, and brick. The study examines three flow situations based on physical boundary conditions. The perturbation method is employed to solve the flow governing equations for three different flow situations based on physical boundary conditions: Case (i) flow in a horizontal channel with both lower and upper walls stationary; Case (ii) the upper wall of the channel is in oscillation while the lower one is constant; Case (iii) both walls of the channel are in oscillatory motion. The velocity and temperature distributions, as well as the skin friction coefficient and heat transfer rate, are analyzed through graphs and tables to assess the impact of various governing parameters. From the results, it is found that brick-shaped NPs exhibit more strength to the velocity and temperature distributions, followed by cylinder, platelet, and blade for both water-based and EG-based NF.

Viscous Dissipation, Inclined Magnetic Field and Joule Heating Impacts on Mixed Convection MHD Oscillatory Diffusion-Radiative Casson Fluid Flow with Chemical Reaction Over a Slanted Vertical Porous Plate

Viscous Dissipation, Inclined Magnetic Field and Joule Heating Impacts on Mixed Convection MHD Oscillatory Diffusion-Radiative Casson Fluid Flow with Chemical Reaction Over a Slanted Vertical Porous Plate

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.

Free convective and radiating flow confined between vertical parallel MHD plates with heat transfer and uniform inclined magnetic field

The objective of this article is to investigate on the natural convective MHD flow of viscous fluid with assessment of mass and heat transfer effects. The flow is confined by two parallel plates. The walls of plates are assumed to be porous. The thermal radiation effects and inclined magnetic field applications are endorsed. One plate maintains the adiabatic phenomenon. The simplified form of problem is achieved with help of dimensionless variables. The analytical outcomes for given formulated problem are obtained with help of perturbation technique. Effects of various flow parameters involving to the problem are graphically impacted. It is claimed that velocity profile enhances due to modified Grashof number. An enhancement in heat transfer is subject to increasing the radiation parameter. Moreover, concentration profile reduces due to Reynolds number.

Soret and Dofour effects on unsteady MHD convection flow over an infinite vertical porous plate

In this paper, the computational examination is carried out on the heat generation, Soret and Dufour’s influence on the unsteady MHD convection flow of an incompressible viscous fluid with chemical reaction. It is due to the exponentially accelerated vertical porous plate embedded in a permeable medium with ramped wall temperature together with surface concentration and also with thermal radiation impacts. The basic governing set of the equations of the fluid dynamics to the flow is converted into nondimensional form by inserting suitable nondimensional parameters and variables. In addition, the resultant equations are solved computationally with the efficient Crank–Nicolsons implicit finite difference methodology. The influences for several imperative substantial parameters for the model on the velocity, temperature and concentration for the fluids, the skin friction coefficient, Nusselt and Sherwood number for together thermal situations have been explored with the help of graphical profiles and tabular forms. It is found that, the increasing quantities of the Dufour, temperature generation and thermal radiation parameters, the fluid temperature as well as velocity enhances. Similarly, it is noted that an escalating Soret parameter causes the fluid’s velocity and concentration whereas the chemical reaction parameter notifies reversal outputs.

Numerical investigation of forced convective MHD tangent hyperbolic nanofluid flow with heat source/sink across a permeable wedge

The combined effect of wedge angle and melting energy transfer on the tangent hyperbolic magnetohydrodynamics nanofluid flow across a permeable wedge is numerically evaluated. Electronic gadgets produce an excessive amount of heat while in operation, so tangent hyperbolic nanofluid (THNF) is frequently used to cool them. THNF has the potential to dissipate heat more efficiently, thereby lowering the possibility of excessive heat and malfunctioning components. The effects of thermal radiation and heat source/sink are also examined on the flow of THNF. The flow has been formulated in the form of PDEs, which are numerically computed through the MATLAB solver BVP4c. The numerical results of BVP4c are relatively compared to the published work for validity purposes. It has been detected that the results are accurate and reliable. Furthermore, from the graphical results, it has been perceived that the rising impact of the Weissenberg number accelerates the velocity and thermal profile. The effect of the power-law index parameter drops the fluid temperature, but enhances the velocity curve. The variation in the wedge angle boosts the shearing stress and energy propagation rate, whereas the increment of Wi declines both the energy transfer rate and skin friction.

Thermal radiation and heat source/sink influence on MHD heat transmission of copper (Cu)–aluminum oxide (Al2O3) Hybrid nanofluid flow with velocity and thermal slips along a stretching sheet

The primary aim of this study is to examine the Magneto radiative flow characteristics of Hybrid nanofluid, a subject of contention within the framework of a stretching sheet including porous material and a heat source/sink. The remarkable ability of hybrid nanoparticles to enhance heat transmission has fascinated several experts, prompting them to further investigate the properties of the working fluid. This work specifically examines the Hybrid Nanofluid flow with MHD and heat transfer on an elongating surface, taking into account radiation and chemical reaction. The study utilizes a mixture of copper ( Cu ) and aluminum oxide ( A l 2 O 3 ) nanoparticles combined with water ( H 2 O ) as the underlying fluid. The process of similarity conversion is used to translate the governing partial differential equations (PDEs) of the fluid flow model into nonlinear ordinary differential equations (ODEs). The whole set of non-linear coupled ODEs, together with the boundary circumstances, are numerically solved by means of the Keller-Box approach. Two unique fluids, known Cu/water (nanofluid) and as A l 2 O 3 − Cu / water (hybrid nanofluid), are used to investigate the flow factors affecting heat transportation phenomena. Comparing the numerical data with the findings reported in the prior works reveals a strong agreement. This research explores the impacts of convective heat transfer, thermal radiation, heat absorption, and MHD. Nanofluid technology has several technical and industrial uses, including power production, sun collecting, and heat exchangers for cooling. Although nanofluids have the highest heat transfer rate compared to traditional fluids, there are several limitations to their effectiveness.

Joule heating effects on triple diffusive free convective MHD flow over a convective surface: A Lie-group transformation analysis

This work integrates the Boussinesq approximation and magnetohydrodynamic effects to investigate the dynamics of incompressible triple diffusive fluid flow along a linearly stretched surface. Novel insights are revealed by contrasting instances with opposing and helpful flows. The partial differential equations are symmetrically reduced using Lie-group transformations, which make the Runge–Kutta shooting technique easier to solve. The effects of concentration buoyancy ratio, magnetic parameter, concentration parameter, and Lewis number on temperature, velocity, and concentration profiles are explained through graphical displays. Our results show that in both flow situations, the velocity distribution is decelerated by the magnetic parameter, and the salt concentration distributions are similarly affected by buoyancy ratio factors. Additionally, a higher Lewis number is associated with lower mass and heat transfer rates in the opposing and assisting fluid.

An impact of Richardson number on the inclined MHD mixed convective flow with heat and mass transfer

AbstractThe two‐dimensional mixed convective MHD flow with heat and mass transfer is investigated for its behavior with Dufour and Soret mechanisms over the porous sheet. The copper–alumina (Cu–Al2O3) hybrid nanoparticles are used in the base fluid water. The governing system of partial differential equations is converted into a system of ordinary differential equations via similarity transformations, obtaining the solution for velocity, temperature, and concentration fields in exponential form. The problem is demonstrated in the Darcy–Brinkman model, the impact of included parameters such as Richardson number, magnetic field, and Dufour numbers are studied for the obtained solution with the help of graphs. Increasing the magnetic field decreases both transverse and axial velocity profiles. Increasing the magnetic field and Richardson's number decreases the solution (Al2O3–H2O). Increasing the values magnetic field and Richardson's number decreases both transverse and axial velocity profiles. Increasing the values of the Dufour effect increases the axial and transverse velocity boundary layer. The magnetohydrodynamic hybrid nanofluid flow over porous media works efficiently in liquid cooling and, therefore, has significant applications in industrial heating and cooling systems, solar energy, magnetohydrodynamic flow meters and pumps, manufacturing, regenerative heat exchange, thermal energy storage, solar power collectors, geothermal recovery, and chemical catalytic reactors.

Consequences of Thermal Diffusion and Chemical Reaction on Mixed Convection MHD Casson Fluid through Porous Media with Inclined Plates

In this present article, we analyzed the effects of Thermal diffusion and chemical reaction on nonlinear mixed convection MHD flow of viscous, incompressible and electrically conducting fluid past an inclined porous channel under the influence of thermal radiation and chemical reaction. The transformed conservation equations are solved analytically subject to physically appropriate boundary conditions by using two term perturbation technique. The numerical values of fluid velocity, fluid temperature and species concentration are displayed graphically whereas those of skin friction coefficient, rate of heat transfer and rate of mass transfer at the plate are presented in tabular form for various values of pertinent flow parameters. It is observed that the velocity is decreased with increasing magnetic field parameter. The resultant velocity and concentration has enhances with increasing thermal diffusion parameters. The study is relevant to chemical materials processing applications.

Magneto Hydrodynamic Effects on Unsteady Free Convection Casson Fluid Flow Past on Parabolic Accelerated Vertical Plate with Thermal Diffusion

The free convection MHD flow of a viscous, chemically reactive, electrically conducted, incompressible, and Casson fluid past a parabolically accelerated vertical plate was examined in the present article along with the transfer of the heat & mass in the incidence of thermal radiation. The inverse Laplace method is used to resolve the dimensionless equations. The concentration and temperature fields, axial and transverse velocity are examined for distinct parameters like the (Casson fluid), Sc (Schmidt number), Gr (thermal Grashof number), Pr (Prandtl number), and Gm (mass Grashof number). Utilizing the temperature of fluid and concentration of species as a solution is also proposed. Graphical representations of the fluctuations in temperature of fluid and velocity along species concentration are provided for several values of relevant flow parameters.

Optimizing entropy in mixed convective MHD dissipative nanofluid with cross-diffusion and nonlinear velocity slip

Entropy optimization is crucial for enhancing fluid dynamics and heat transfer, leading to improved efficiency, energy conservation, and environmental sustainability. Recognizing its significance, we examine the influence of radiation, Joule heating, heat sources, mixed convection, and nonlinear slip on the entropy-optimized flow of a dissipative nanofluid over a curved surface. To seamlessly integrate within the MATLAB bvp4c framework, we convert the set of multi-order ODEs, derived from fundamental PDEs via a similarity transformation approach, into a system of first-order ODEs. Graphs and analytical discussions are used to evaluate the parameters of the problem. The velocity within the boundary layer, along with entropy, experiences reduction due to the enhancement in both first- and second-order slip velocity parameters, as well as curvature parameters. The temperature plot improves with the increase in parameters such as the Soret number and Dufour number, as well as radiation. Conversely, the temperature plot reduces with the rise in suction values. The study indicates that a higher Brinkman number is associated with a lower Bejan number, while the first- and second-order velocity slip parameters have a contrasting effect, leading to an increase in the Bejan number.

Lattice Boltzmann study on magnetohydrodynamic double-diffusive convection in Fe3O4–H2O nanofluid-filled porous media

Magnetohydrodynamic double-diffusive convection (MHD-DDC) in porous media has substantial significance in broad applications. However, due to the complexity of the DDC problems involving nanofluid, porous media, and external magnetic field at the same time, the MHD-DDC in nanofluid-filled porous media has rarely been studied. Besides, previous research on MHD convection problems usually focuses on magnetic fields or nanofluid effects. Effects of the thermal-to-mass properties, including the buoyancy radio (Br) and Lewis number (Le), on MHD-DDC problems have rarely been studied, seriously limiting the understanding and regulation of heat and mass transfer. Herein, we numerically study heat and mass transfer in the MHD-DDC within a square cavity containing a nanofluid of Fe3O4–H2O and a porous medium using a lattice Boltzmann method. A series of case studies are carried out to investigate the effects of Br, Le, and the medium porosity (ε) on the velocity, temperature, and nanoparticle concentration. Results indicate that Br determines the rotation pattern of the streamline, while Le and ε can be utilized to regulate the intensity of heat and mass exchange. The results of this paper present a quantitative insight into regulating heat and mass transfer patterns in MHD-DDC problems.

Numerical Investigation of Diffusion Thermo and Thermal Diffusion on MHD Convective Flow of Williamson Nanofluid on a Stretching Surface Through a Porous Medium in the Presence Chemical Reaction and Thermal Radiation

In this paper, analyze the impact of Diffusion thermo and thermal diffusion with heat and mass transfer inherent of thermally radiant Williamson nanofluid over a stretyching surface through a porous medium under the convective boundary condition in the presence of thermal radiation and chemical reaction has been studied. The coefficients of Brownian and thermophoresis diffusions are also taken into consideration. The governing partial differential equations are reduced to a couple of nonlinear ordinary differential equations by using suitable transformation equations; these equations are then solved numerically with the use of the conventional fourth-order Runge Kutta method accompanied by the shooting technique. As a result, the effects of various physical parameters on the velocity, temperature, and nanoparticle concentration profiles as well as on the skin friction coefficient and rate of heat transfer are discussed with the aid of graphs and tables. This study has been directly applied in the pharmaceutical industry, microfluidic technology, microbial improved oil recovery, modelling oil and gas-bearing sedimentary basins, and many other fields. Further, to check the accuracy and validation of the present results, satisfactory concurrence is observed with the existing literature.