MHD Flow Of Micropolar Fluid Research Articles

Physical Aspects on MHD Micropolar Fluid Flow Past an Exponentially Stretching Curved Surface

The present analysis is composed of heat transfer characteristics on MHD free convective stagnated flow of micropolar liquid due to stretching of an exponential curved sheet. The flow is supposed to be time-independent and not turbulent. The impact of non-linear radiation, unequal heat source/sink, Joule heating and variable thermal conductivity are supposed. Appropriate alterations are mused to change the original PDEs as ordinary ones and then solved by shooting and fourth order Runge-Kutta-Fehlberg integration schemes. Graphs are outlined to inspect the impacts of sundry non-dimensional variables on the distributions of velocity, micro rotation and temperature. We discern that there is an augmentation in the fields of heat with Eckert number, nonlinear radiation and irregular hear parameters. Also it is motivating to comment that material parameter is a decreasing function of velocity. We establish the consequences in this analysis evidence to be extremely agreeable with the obtainable consequences.

Hall and ion slip effects on MHD free convective rotating flow bounded by the semi‐infinite vertical porous surface

AbstractThermodiffusion, thermal radiation, Hall and ion slip effects on heat and mass transport of free convective MHD micropolar fluid flow bounded by a semi‐infinite absorbent plate with rotation and suction have been investigated. The plate is assumed to oscillate in time with constant frequency so that the solutions of the boundary layer are the same oscillatory type. The solutions are found analytically with the perturbation technique. With the help of graphic representations, the impacts of many critical parameters on velocity, temperature, and concentration within the boundary layer are discussed. In addition, local skin‐friction, Nusselt number, and Sherwood numbers are determined and computationally analyzed.

Entropy generation analysis of Hall current effect on MHD micropolar fluid flow with rotation effect

Entropy generation in form of heat dissipation destroys useful energy which accounts for the underperformance and decrease in the thermodynamic efficiency of a system. Since micropolar fluid is used as a working fluid in many technological and industrial processes, it is therefore necessary to examine the influence of all factors that can enhance entropy production so as to achieve the best energy systems design. In this paper, the influence of Hall current and ion-slip on the entropy generation rate of micropolar fluid is investigated. An applied uniform magnetic field acts in a perpendicular direction to the flow of fluid. The nonlinear coupled partial differential equations used to model the micropolar fluid flow are transformed to ordinary differential equations by using appropriate similarity variables. The differential equations obtained are solved by applying differential transform method. The results for velocity profiles, temperature profile and microrotation are used to determine fluid irreversibility and Bejan number. To get a clearer view of the study, the effects of various parameters such as Hall, ion-slip, magnetic field and coupling number on primary velocity, secondary velocity, temperature profile, microrotation, entropy generation and Bejan number are presented and explained via plots. The results show that entropy generation is reduced as coupling number and magnetic parameter increase, Bejan number receives a boost with increase in coupling number and magnetic parameter. Furthermore, heat irreversibility is more dominant than fluid friction irreversibility at the region close to the channel walls.

Linear stability analysis of MHD flow of micropolar fluid with thermal radiation and convective boundary condition: Exact solution

AbstractMagnetohydrodynamic (MHD) flow of micropolar fluid by including the thermal radiation and convective condition on a shrinking surface in the presence of mass suction effects has been investigated. The momentum, angular momentum and energy equations, and the solutions of these equations are valid for whole Navier stokes, and microrotational and energy equations have been solved exactly. We obtain the solution in the form of an incomplete γ function for the energy equation. The results reveal that dual solutions exist for certain domains of different physical parameters. Furthermore, high suction produces the high effect of drag force, and as a result, coefficient of skin friction increases in the first solution. Stability analysis has been performed and determined that the first solution is more stable.

Influence of viscous dissipation on MHD flow of micropolar fluid over a slendering stretching surface with modified heat flux model

The current research article delivers a numerical study of an electrically conducting magnetohydrodynamic nonlinear convection flow of micropolar fluid over a slendering stretching surface. The flow is laminar and time independent. The influence of viscous dissipation, Joule heating, non-uniform heat source or sink, temperature-dependent thermal conductivity and thermal radiation is deemed. Heat-transfer characteristics are scrutinized with the aid of modified Fourier’s law. We presented simultaneous solutions for a flat surface and variable thickened surface. At first, appropriate similarity transformations are considered to convert the basic partial differential equations as ordinary ones and then solved by the successive application of numerical procedures such as shooting and fourth-order Runge–Kutta method. Graphs are delineated to observe the influence of diverse nondimensional parameters on the flow fields. Along with the skin friction coefficient, couple stress coefficient and local Nusselt number are also discussed and bestowed with the support of the table. Results stipulate that the distribution of temperature increases with thermal relaxation and radiation parameters, but a contradictory outcome is spotted for Prandtl number. Also, the microrotation velocity is suppressed with an enhancement in magnetic field parameter, but an opposite trend is observed for buoyancy force.

Free convective MHD micropolar fluid flow with thermal radiation and radiation absorption: A numerical study

AbstractAn analysis is carried out for the free convective flow of an electrically conducting micropolar fluid through permeable stretching sheet in the presence of porous medium. Inclusion of thermal radiation to the energy equation enhances the thermal properties of polar fluid. In addition to that the radiation absorption parameter occurs due to the interaction of solutal concentration difference also considered in the heat transfer equation. Suitable similar transformation is used to convert the governing partial differential equations to ordinary differential equations. Furthermore, though analytical solutions of these complex nonlinear coupled equations are more complicated therefore, numerical solution such as Runge‐Kutta fourth order method associated with shooting technique is adopted. Behavior of characterizing parameters for the flow phenomena are presented via graphs and computed values of physical quantities of interest are obtained and shown in tabular form. Present result validates with that of earlier results in particular case which confirms the existence of present solution methodology. However, the main findings of contributing parameters are laid down as; angular velocity profile contributes a dual character from the point of contact at the middle of the channel. Fluid temperature is affected by the inclusion of absorption coefficient.

Thermophoresis, Brownian motion and non-linear thermal radiation effects on mixed convection MHD micropolar fluid flow due to nonlinear stretched sheet in porous medium with viscous dissipation, joule heating and convective boundary condition

The present paper addresses mixed convection micropolar fluid flow in porous medium with uniform magnetic field towards nonlinear stretched surface. Analysis is carried out in the presence of viscous dissipation, Joule heating and convective boundary condition. Characteristics of heat and mass transfer are analyzed with thermophoresis, Brownian motion, non-linear thermal radiation and chemical reaction. The governing dimensional non-linear system of partial differential equations are converted into dimensionless expressions using similarity transformations. Homotopy analysis method is employed to solved the dimensionless equations and obtained the expression of velocity, micro-rotation, temperature and concentration profiles. The positive values of magnetic field M and micropolar fluid parameter K, which leads to improve velocity and spin of the micro-elements in micropolar fluid flow. It is observed that velocity profiles in case of linear stretching sheet is less than that of non-linear stretching sheet. The values of skin-friction coefficient are more for the case of strong concentration compared to the case of weak concentration. Brownian motion and thermophoresis parameter tends to improve rate of heat transfer process. Rate of mass transfer process reduced with chemical reaction parameter.

Variable Thermal Conductivity and Thermal Radiation Effect on the Motion of a Micro Polar Fluid over an Upper Surface

The intent of this analysis is to explore the influence of thermal radiation paired with variable thermal conductivity on MHD micropolar fluid flow over an upper surface. The novelty of the present model is to consider the fluid flow along an upper horizontal surface of a paraboloid of revolution (uhspr) with the porous medium. This physical phenomenon is described by a set of coupled non-linear ODEs by using suitable scaling analysis. The ODEs along with the boundary conditions are solved numerically. Influence of various flow parameters on momentum, thermal and concentration boundary layers is discussed graphically. It is noticed that the variable thickness of the surface has a leading consequence on the boundary layer progression along the surface. Moreover, the results of this study are not only useful for industrial applications but also present a basic understanding of the physical model.

Mixed Convective MHD Micro-Polar Fluid Flow in a Porous Medium with Radiation Absorption

An unsteady mixed convective flow of micro-polar fluid in a porous medium has been considered in presence of transverse magnetic field, Dufour effects and radiation. Effects of radiation absorption and heat source/sink are taken into account. The Buoyancy force leads to free convection and oscillatory free stream velocity is responsible for forced convection. Partial differential equations governed by conservation principles of mass, momentum and energy are solved analytically using perturbation scheme. Effects of various parameters on the governing fluid motion are shown graphically and numerically in tabular form.

Heat and Mass Transfer of a Chemically Reacting MHD Micropolar Fluid Flow over an Exponentially Stretching Sheet with Slip Effects

Heat and Mass Transfer of a Chemically Reacting MHD Micropolar Fluid Flow over an Exponentially Stretching Sheet with Slip Effects

MHD Flow of Micropolar Fluid in a Porous Medium Provoked by Heat Function and Radiation

MHD Flow of Micropolar Fluid in a Porous Medium Provoked by Heat Function and Radiation

Numerical simulation of MHD flow of micropolar fluid inside a porous inclined cavity with uniform and non-uniform heated bottom wall

Buoyancy-driven, incompressible, two-dimensional flow of a micropolar fluid inside an inclined porous cavity in the presence of magnetic field is investigated. The nonlinear partial differential equations are solved by employing a robust Galerkin finite element scheme. The pressure term in this scheme is eliminated by using the penalty method. The results are exhibited in the form of streamlines, isotherms, and local and average Nusselt numbers for two cases, namely, the constant and the sinusoidal heated lower wall of the conduit. In both cases, the side walls of the cavity are cold and the upper side is insulated. The main difference between the two cases is observed from temperature contours. For constant heated bottom wall a finite discontinuity appears in the temperature distribution at the corners of the bottom wall. In contrast, no such discontinuity appears in the temperature distribution for non-uniform heated bottom wall. The quantitative changes in temperature contours in different portions of the cavity are identified by comparing the results for both cases. The code is also validated and benchmarked with the previous numerical data available in the literature. It is found that the magnetic field inclined at a certain angle either suppresses or enhances the intensity of primary circulations depending on the inclination of the cavity. Further, the average Nusselt number at the bottom wall is higher when magnetic field is applied vertically irrespective of the inclination of cavity. The analysis presented here has potential application in solar collectors and porous heat exchangers.

Heat transfer effect on MHD flow of a micropolar fluid through porous medium with uniform heat source and radiation

Abstract The present study examines the effect of heat transfer on electrically conducting MHD micropolar fluid flow along a semi-infinite horizontal plate with radiation and heat source. The uniform magnetic field has applied along the principal flow direction. The obtained governing equations have been converted into a set of dimensionless differential equations and then numerically solved by using a well-known Runge-Kutta method with shooting technique. The velocity, microrotation, and temperature distribution are presented for various physical parameters. The numerical values of skin friction and Nusselt numbers at the plates are shown in tabular form, and the obtained results are compared with the results of a previous study. It has been found that the magnetic parameter increases the velocity profile whereas the boundary layer thickness reduces due to the inclusion of coupling parameter and inertia effect. The presence/absence of magnetic parameter and coupling parameter enable to enhance the angular velocity profile while it is worth to note that the backflow has generated in the vicinity of the plate.

Soret and Dufour Effects on MHD Micropolar Fluid Flow Over a Linearly Stretching Sheet, Through a Non-Darcy Porous Medium

In this paper, we discuss the Soret and Dufour effects on an MHD micropolar fluid flow over a linearly stretching sheet, through a non-Darcy porous medium, where stretching velocity of the sheet varies linearly with distance from the origin, and, temperature and concentration vary non-linearly in the boundary layer region. By suitable similarity transformations, the governing boundary layer equations are transformed to ordinary differential equations. These equations are solved by numerical computations with bvp4c along with the shooting technique method. The effects of the magnetic parameter, Soret number and Dufour number on velocity profiles, microrotation profile, heat transfer, and concentration, skin-friction, Nusselt number and Sherwood number are computed, discussed and analysed numerically and presented through tables and graphs.

Numerical study at moderate Reynolds number of peristaltic flow of micropolar fluid through a porous-saturated channel in magnetic field

This paper analyzes the MHD flow of micropolar fluid induced by peristaltic waves passing through the porous saturated channel at large Reynolds number. The flow model is formulated in the absence of assumptions of lubrication theory which yields the governing equations into a non-linear set of coupled partial differential equations which allows studying the peristaltic mechanism at non-zero Reynolds and wave numbers. The influence of other involved parameters on velocity, stream function and microrotation are discussed through graphs plotted by using Galerkin’s finite element method. Besides that, the phenomena of pumping and trapping are also analyzed in the later part of the paper. To ensure the accuracy of the developed code, obtained results are compared with the results available in the literature and found in excellent agreement. It is found that the peristalsis mixing can be enhanced by increasing Hartmann number while it reduces by increasing permeability of the porous medium.

Heat and Mass Transfer in MHD Micropolar Fluid Flow over a Stretching Sheet with Velocity and Thermal Slip Conditions

This study presents the problem of a steady, two-dimensional, heat and mass transfer of an incompressible, electrically conducting micropolar fluid flow past a stretching surface with velocity and thermal slip conditions. Also, the influences of temperature dependent viscosity, thermal radiation and non-uniform heat generation/absorption and chemical reaction of a general order are examined on the fluid flow. The governing system of partial differential equations of the fluid flow are transformed into non-linear ordinary differential equations by an appropriate similarity variables and the resulting equations are solved by shooting method coupled with fourth order Runge-Kutta integration scheme. The effects of the controlling parameters on the velocity, temperature, microrotation and concentration profiles as well as on the skin friction, Nusselt number, Sherwood and wall couple stress are investigated through tables and graphs. Comparison of the present results with the existing results in the literature in some limiting cases shows an excellent agreement.

Numerical Studies on the Effects of Variable Viscosity and Thermal Conductivity with Joules Dissipation on the MHD Micropolar Fluid Flow, Heat and Mass Transfer Past a Stretching Porous Surface Embedded in a Porous Medium

Numerical Studies on the Effects of Variable Viscosity and Thermal Conductivity with Joules Dissipation on the MHD Micropolar Fluid Flow, Heat and Mass Transfer Past a Stretching Porous Surface Embedded in a Porous Medium

Chemical Reaction Effect of MHD Micropolar Fluid Flow between two Parallel Plates in the Presence of Heat Source/Sink

Chemical Reaction Effect of MHD Micropolar Fluid Flow between two Parallel Plates in the Presence of Heat Source/Sink

Effects of Variable Viscosity and Thermal Conductivity on the MHD Flow of Micropolar Fluid on a Continuous Moving Surface

Effects of Variable Viscosity and Thermal Conductivity on the MHD Flow of Micropolar Fluid on a Continuous Moving Surface

Dual Solutions of MHD Boundary Layer Flow of a Micropolar Fluid with Weak Concentration over a Stretching/Shrinking Sheet

We investigate the dual solutions for the MHD flow of micropolar fluid over a stretching/shrinking sheet with heat transfer. Suitable relations transform the partial differential equations into the ordinary differential equations. Closed forms solutions are also obtained in terms of confluent hypergeometric function. This is the first attempt to determine the exact solutions for the non-linear equations of MHD micropolar fluid model. It is demonstrated that the microrotation parameter helps in increasing Nusselt number and the dual solutions exist for all fluid flow parameters under consideration. The dual behavior of dimensionless velocity, temperature, microrotation, skin-friction coefficient, local Nusselt number is displayed on graphs and examined.