Convection Flow Of Micropolar Fluid Research Articles

Analysis of Magnetohydrodynamic Free Convection in Micropolar Fluids over a Permeable Shrinking Sheet with Slip Boundary Conditions

The convective micropolar fluid flow over a permeable shrinking sheet in the presence of a heat source and thermal radiation with the magnetic field directed towards the sheet has been studied in this paper. The mathematical formulation considers the partial slip condition at the sheet, allowing a realistic representation of the fluid flow near the boundary. The governing equations for the flow, heat, and mass transfer are formulated using the conservation laws of mass, momentum, angular momentum, energy, and concentration. The resulting nonlinear partial differential equations are transformed into a system of ordinary differential equations using suitable similarity transformations. The numerical solutions are obtained using robust computational techniques to examine the influence of various parameters on the velocity, temperature, and concentration profiles. The impact of slip effects, micropolar fluid characteristics, and permeability parameters on the flow features and heat transfer rates are thoroughly analyzed. The findings of this investigation offer valuable insights into the behavior of micropolar fluids in free convection flows over permeable shrinking sheets with slip, providing a foundation for potential applications in various industrial and engineering processes. Key findings include the observation that the velocity profile overshoots for assisting flow with decreasing viscous force and rising magnetic effects as opposed to opposing flow. The thermal boundary layer thickness decreases due to buoyant force but shows increasing behavior with heat source parameters. The present result agrees with the earlier findings for specific parameter values in particular cases.

Numerical simulation and modelling of steady convective Hiemenz flow of a dissipative micropolar fluid through stretching sheet

ABSTRACT The ongoing objective is to expand the mathematical model for steady convective Hiemenz flow on radiative dissipative micropolar fluid transport in a stretching sheet with Joule heating impacts and boundary conditions are influenced by slip velocity. Effectively a micropolar formulation combining different novel effects model is deployed. Navier-Stokes-based flow equations are rendered into non-dimensional form using some influential similarity transformations. The transmuted system of ordinary derivative equations has been solved through the Runge–Kutta Fourth order (RKF) along with the shooting technique. The outcome solutions are offered for velocity, angular velocity and temperature in tables, further engineering interest like shear stresses and Nusselt number are computed and discussed extensively to foremost parameters. Validation with prior results are established and found to agree quantitatively with others. The detailed analysis explores that, results produce notable hold upon boundary layer distributions.

Significance of an incident solar energy toward the MHD micropolar fluid flow over a stretching sheet

This paper studies the mixed convective flow of a magnetohydrodynamic micropolar fluid over an extending sheet. The first-order velocity slip condition is taken to observe the slip flow of the fluid. The applications of solar radiation toward the micropolar fluid flow are analyzed in this paper. Furthermore, the Brownian motion, thermophoresis and Joule heating impacts are also studied. Also, the Cattaneo-Christov heat flux model, chemical reaction and activation energy are observed. The leading PDEs have been transformed to ODEs and then solved with the help of homotopy analysis technique. The impacts of different physical parameters have been evaluated theoretically. The outcomes exhibited that the material factors have augmented the microrotation and velocity profiles. Moreover, the velocity slip parameter has a reverse relation with velocity and microrotation profiles, while there is a direct relation of a velocity slip with the energy curve. The velocity profile has increased with higher thermal and mass Grashof numbers. With increasing Brownian motion parameter, the thermal profile is amplified while the concentration profile is declined. On the other hand, the thermal and mass profiles have been boosted with greater thermophoresis parameter. The velocity profile has decreased with higher magnetic parameter, whereas the temperature profile has augmented with higher magnetic parameter. The couple stress and skin friction have been augmented with material parameter, whereas the skin friction has been reduced with thermal and mass Grashof numbers.

Irreversibility analysis of melting rheology in micropolar Al2O3-mineral oil nanofluid flow with homogeneous and heterogeneous reactions

Mineral Oil [MO] has significant importance because of its vast variety of applications in various arenas of manufacturing, technology, and industrial processes. The applications of the Mineral Oil [MO] are PVC production, polystyrene production, as a lubricating, cutting fluid, thermoplastics rubber production, glossing product, wood products, cleaning products, lamp oil, glues, toys, veterinary, cosmetics, food preparation, as a brake fluid in some cars, and so forth. Due to these applications of Mineral Oil [MO], in the existing work, the two-dimensional mixed convective flow of micropolar fluid with the applications of the aluminum oxide nanoparticles in a Mineral Oil [MO] base liquid is taken into consideration. The melting heat phenomenon is discussed for the interpretation of heat transmission. Further, the flow analysis is discussed through the impacts of inclined magnetic field, heat generation, Joule heating and thermal radiation. Mass diffusivity is deliberated through the implementation of homogenous and heterogeneous chemical reactions. Entropic behavior is analyzed for the discussion of irreversibility analysis. Suitable similarity transformations are employed to renovate modeled systems of the PDEs into ODEs. Analytical simulation of the proposed model has been accomplished with the utilization of the homotopy analysis technique. Some significant outcomes from the existing work are that the velocity outline is reduced but the energy curve is greater for the melting parameter. Nanofluid entropy generation is increased due to the improvement of the Brinkman parameter and material parameter. Heat transportation is augmented due to the amplification of the radiation parameter, and nanoparticle volume fraction. The present study is useful in different fields of industries, technological processes, mechanical processes, and electrical processes due to the applications of mineral oil.

Thermal Radiation, Chemical Reaction and Viscous Dissipation Effects on MHD Mixed Convection Flow of Micro Polar Fluid with Stretching Surface in the Presence of Heat Generation/Absorption

Numerical and theoretical analysis of MHD mixed convection flow of micropolar fluid with stretching surface in the presence of thermal radiation, chemical reaction, viscous dissipation, and heat generation/absorption has been studied.

Effectiveness of Radiation on Magneto-Combined Convective Boundary Layer Flow in Polar Nanofluid around a Spherical Shape

Many physical aspects emerging from the local structure and micromotions of liquid particles can be studied by utilizing the governing model of micropolar liquid. It has the ability to explain the behavior of a wide range of real fluids, including polymeric solutions, liquid crystals, lubricants, and animal blood. This earned it a major role in the treatment of many industrial and engineering applications. Radiative heat transmission induced by a combined convection flow of micropolar fluid over a solid sphere, and its enhancement via nanoparticle oxides, are investigated in this study. An applied magnetic field and a constant wall temperature are also considered. The Tiwari–Das model is used to construct the mathematical model. An approximate numerical solution is included using the Keller box method, in which its numerical calculations are performed via MATLAB software, to obtain numerical results and graphic outputs reflecting the effects of critical parameters on the physical quantities associated with heat transfer. The investigation results point out that a weakness in the intensity of the magnetic field, or an increment in the nanoparticle volume fraction, causes an increment in velocity. Raising the radiation parameter promotes energy transport, angular velocity, and velocity.

Transient MHD convective flow of a micropolar fluid past a moving vertical plate in the presence of thermal diffusion

AbstractIn this article, we investigate a transient magnetohydrodynamic convective micropolar fluid flow over a semi‐infinite vertical plate embedded in a porous medium in the presence of chemical reaction and thermal diffusion. The dimensionless governing equations are solved by adopting the regular perturbation technique. The impact of various parameters on the velocity, microrotation, temperature, concentration profiles, skin friction, Sherwood number, and Nusselt number over the boundary layer is analyzed using graphs. The fluid velocity and microrotation reduce under the effect of thermal diffusion and chemical reaction. Furthermore, concentration rises due to thermal diffusion (Soret) effect, but concentration falls under the effect of chemical reaction. It is found that the velocity and skin friction fall with enhancing value of magnetic parameter. But Sherwood number increases as the magnetic parameter increase.

Effect of multiple forces on convective micropolar fluid flow in a permeable channel with stretching walls considering second order slip conditions

This paper is intended to study the impact of velocity and thermal slip boundary conditions of order two on MHD buoyancy driven radiative micro-polar fluid in a channel with permeable stretching walls. The governing equations are transformed and solved numerically. Convergence of the numerical results are tested with grid independence test and obtained results are validated by comparing with existing results. The influence of velocity and thermal slip of order two, suction or injection, vortex viscosity, micro-rotation, magnetic and thermal radiation parameters on fluid velocity, microrotation profiles and temperature distributions are discussed over the graphs and tables. It is worth mentioning that second- order velocity and thermal slips dominate the stretchable walls and influence the flow characteristics (axial velocity, micro-rotation and temperature) more prominently. The micro-rotation profile decreases at and increases at of the channel for the first slip. This study is useful in blood rheology and fibre spinning etc. and these findings are highly useful to enhance the effectiveness of catalytic reactors.

Forced convective micropolar fluid flow through stretchable disk with thermophoresis

Micropolar fluid model is considered to discuss the microrotational inertial effects of fluid particles. The fluid movement is initiated through stretchable disk, which is engulfed into porous space. Porous medium is characterized in numerous engineering processes, geophysics, petroleum technology and biological tissues. The generalized Fourier’s law that is the Cattaneo–Christov model is utilized for to study the heat transfer mechanism. Moreover, the thermophoresis phenomenon is reflected in flow phenomenon. The constitute model is initially consists upon the system of partial differential equations, which is then converted to ordinary one by making use of appropriate similarity variables. Runge–Kutta–Fehlberg procedure is then used to obtain the numerical solutions. The determined physical parameters are discussed through graphical way and tabular description.

Gravitation modulation impact on MHD free convection flow of micropolar fluid

In this paper, a theoretical study is carried out on unsteady three dimensional, laminar, free convective flow of micropolar fluid with Hall effect, Joule heating and heat sink under gravitation modulation. A uniform transverse magnetic field is applied normal to the plate along the fluid region. The magnetic Reynolds number is considered to be small due to incomparability of applied and induced magnetic field, as such the influence of induced magnetic field can be neglected. The multi parameter perturbation technique is used to solve the governed dimensionless equations. The fluid velocity profile, temperature profile and the concentration profiles are discussed with the aid of graphs and tables. The coefficient of skin friction and couple stresses are numerically computed in addition to Nusselt number and Sherwood number. The result reveals that the linear velocity increases due to escalation in gravitation modulation parameter values but for intensification in values of gravitation modulation parameter, a reverse effect is observed for the rotational velocity. A comparative analysis shows that the skin friction coefficient is less in micropolar fluid than the corresponding Newtonian fluids.

Impact of complex wavy surface on natural convection flow in micropolar fluid

Impact of complex wavy surface on natural convection flow in micropolar fluid

Numerical Solutions for Convective Boundary Layer Flow of Micropolar Jeffrey Fluid with Prescribe Wall Temperature

The steady two dimensional convective boundary layer flow of micropolar Jeffrey fluid past a permeable stretching sheet is studied in this paper. The governing boundary layer equation in the form of partial differential equations are transformed into nonlinear coupled ordinary differential equations and solved numerically using an implicit finite-difference scheme known as Keller-box method. The effects of Prandtl number, Deborah number, and material parameter with the boundary condition for microrotation, n = 0 (strong concentration of microelements) on the velocity, microrotation, temperature profiles as well as the skin friction and heat transfer coefficients are presented and discussed. An excellent agreement is observed between the present and earlier published results for some special cases. The results revealed that, the effect of Deborah number and stretching parameter are increased the heat transfer coefficient while the opposite trend is observed for the effects of material and velocity slip parameters. It was also observed that, the values of skin friction increased with the increment on the values of all studied parameters.

Numerical simulation for the mixed convective flow of non‐Newtonian fluid with activation energy and entropy generation

Here, mathematical modeling is performed for the nonlinear mixed convection in dissipative convective flow of micropolar fluid towards a stretched surface. Mixed convection occurs when both forced and natural convection mechanisms act together. Mixed convection problems are categorized by Grashof number. This is also addressed as situations where both buoyant and pressure forces interact. Slip condition is considered at the boundary for the velocity. Magnetohydrodynamics (MHD) fluid is considered. Novel features of nanofluids like Brownian motion and thermophoresis diffusions are further addressed. Convective condition is imposed at the stretched boundary. Concentration of material particles is discussed with activation energy. Nonlinear partial differential equations are converted into ordinary ones via appropriate similarity transformations. The velocity, temperature, concentration, skin friction, Nusselt number, and entropy generation are discussed numerically with the help of built‐in‐shooting method. Our obtained outcomes show that the velocity of material particles reduces against larger slip parameter and micropolar parameter. Temperature enhances for larger thermal Biot and Eckert numbers. Concentration of fluid particles is more versus solutal Biot number and activation energy parameter. Furthermore, entropy rate increases for higher values of micropolar fluid parameter and activation energy parameter while it declines against slip parameter.

Impact of Cattaneo-Christov heat flux on non-isothermal convective micropolar fluid flow in a hall MHD generator system

The flow of non-isothermal micropolar fluid over a nonlinear extending surface with heat flux model of Cattaneo-Christov is presented in this paper. The Joule and viscous dissipation influences are tackled in the fluid flow. A robust magnetic field strength is also operated perpendicular to the fluid flow. The correspondence transformations are used in conversion of PDEs to ODEs. The modeled equations are solved analytically. The convergence of applied technique is shown graphically. The variation in fluid flow via dimensionless parameters like; Grashof number, material parameter, magnetic parameter, Hall parameter, wall geometric parameter, micro-rotation parameter, thermal relaxation parameter, Eckert number, power law index, and Prandtl number are shown graphically and discussed sequentially. The variation in surface drag and thermal transmission factors are calculated through tables.

Forced Convective of Micropolar Fluid on a Stretching Surface of Another Quiescent Fluid

In this paper, the problem of forced convection flow of micropolar fluid of lighter density impinging orthogonally on another heavier density of micropolar fluid on a stretching surface is investigated. The boundary layer governing equations are transformed from partial differential equations into a system of nonlinear ordinary differential equations using similarity transformation and solved numerically using dsolve function in Maple software version 2016. The velocity, microrotation and temperature of micropolar fluid are analyzed. It is found that both upper fluid and lower fluid display opposite behaviour when micropolar parameter K various with strong concentration n = 0, Pr = 7 and stretching parameter lambda = 0.5. The results also show that stretching surface exert the force that increasing the velocity of micropolar fluid.

Mixed Convective Flow and Heat Transfer of a Dual Stratified Micropolar Fluid Induced by a Permeable Stretching/Shrinking Sheet

The present study accentuates the magnetohydrodynamics (MHD) flow and heat transfer characteristics of a dual stratified micropolar fluid over a permeable stretching/shrinking sheet. Thermal and solutal buoyancy forces are also included to incorporate with the stratification effect. Similarity, transformation is applied to reduce the governing model (partial differential equations) into a set of nonlinear ordinary differential equations (ODEs) due to its complexity. Using bvp4c solver in the MATLAB software, numerical results for some limiting cases are in favorable agreement with the earlier published results. Both assisting and opposing buoyancy flows have dual similarity solutions within specific range of suction and stretching/shrinking parameters, whereas only a distinctive solution is observed for pure forced convective flow. The micropolar fluid shows a disparate pattern of flow, heat and mass transfer characteristics between stretching and shrinking cases. Unlike the shrinking flow, the surface velocity gradient, local Nusselt and Sherwood numbers for stretching flow intensify with the increment of the material parameter. The result from stability analysis reveals that the first solution is the real solution, whereas the second solution is virtual.

Study of the Couple Stress Convective Micropolar Fluid Flow in a Hall MHD Generator System

The steady non-isothermal convective heat transfer in magnetohydrodynamic micropolar fluid flow over a non-linear extending wall is examined. The fluid flow is treated with strong magnetic field. The influence of magnetic field, Hall current, viscous dissipation, and couple stress are mainly focused in this work. The fluid flow problem is solved by analytical method. The impact of developing dimensionless parameters on primary, secondary, and angular velocity components and temperature profile are determined through graphs. The greater magnetic parameter, local Grashof number, Hall parameter, power-law index, Prandtl number, nonlinear wall geometric parameter, and couples stress parameter reduce the primary velocity component while the material parameter, and Eckert number escalates the primary velocity component. The greater local Grashof number, material parameter, power-law index, Prandtl number, and wall geometric parameter reduces the secondary velocity component while the greater magnetic parameter, Hall parameter, Eckert number, and couple stress parameter escalates the secondary velocity component.

The study of double stratification and viscous dissipation effects on chemically radiative MHD free convective flow of micropolar fluid embedded in non-Darcian porous medium

Numerical expression for steady 2D natural convection magnetohydrodynamics flow of micropolar fluid past along a vertical surface embedded through non-Darcian porous medium in the presence of heat source, chemical reaction, viscous dissipation and thermal radiation is obtained. Variable wall temperature and concentration in a doubly stratified are taken into account. The initial governing boundary layer equations are transformed to a system of ODEs, which are then solved numerically by using the Runge– Kutta–Fehlberg fourth–fifth order method along shooting technique. A parametric study is conducted and so that numerical result are obtained for the velocity, micro-rotation, temperature and concentration as well as the local friction factor coefficient, local couple stress, local Nusselt and Sherwood numbers for different values of the governing parameters, namely, the magnetic parameter, material parameter, Prandtl number, radiation parameter, chemical reaction parameter and viscous dissipation and discussed in detail. Comparison in limiting case is also part of present study to validate the obtained results.

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.

Physical aspects on unsteady MHD‐free convective stagnation point flow of micropolar fluid over a stretching surface

AbstractThe unsteady magnetohydrodynamic (MHD) stagnation point flow of micropolar fluid across a vertical stretching surface with second‐order velocity slip is the main concern of the present paper. The influence of electrical energy, temperature‐dependent thermal conductivity, thermal radiation, Joule heating, and heat sink/source is investigated. The basic partial differential equations are changed into ordinary differential equations with the help of appropriate similarity variables and then solved by the fourth‐order Runge‐Kutta–based shooting technique. The impact of physical parameters on the velocity, microrotation, and temperature as well as friction factor, couple stress, and local Nusselt number is thoroughly explained with the support of graphs and tables. The results divulge that the heat source/sink and thermal radiation parameters have a propensity to enhance the fluid temperature. The distribution of velocity is an increasing function of an electric field and unsteadiness parameter. The numerical results are also compared with the results available in the literature.