Motion Of Micropolar Fluid Research Articles

Micropolar Hydromagnetic Fluid Over a Vertical Surface in Darcian Regime: An Analytical Approach

In the present paper, the researcher investigates the mutual impact of radiative heat and mass exchange on hydromagnetic micropolar fluid moving along an infinite vertical surface in a porous regime. The goal of the research is to investigate the impact of convective temperature and mass flow on hydromagnetic motion of micropolar fluid across a vertical plate ingrained in a porous regime. The conservation equations with appropriate boundary conditions are resolved analytically by assuming a convergent series solution and thus obtained the analytical solutions for velocity, angular velocity (microrotation), temperature and molar-concentration. The novelty of the current work is that it takes heat transfer into account while considering for the impacts of chemical reaction in a micropolar fluid flow of reactive diffusing species. The influence of different physical variables on temperature, molar-concentration, velocity and angular velocity of the fluid molecules have been presented graphically for dual solutions. It is seen that the micropolar parameter and porosity of the medium play a significant behaviour over the momentum and thermal boundary layers. This investigation may involve with various disciplines of chemical engineering, bio-mechanics and medical sciences. The outcomes of the present study have significant applications in MHD generators and geothermal resource extraction.

Evaluation of thermo-diffusion and diffusion-thermo phenomenon on the reactive micropolar fluid motion over an extending device

ABSTRACT The dynamics of thermal-migration and micro-rotation of tiny particles are very essential in thermal engineering to improve the performance of their devices. This has inspired scientists to examine different micro-particles of fluid materials. As such, this article examines thermo-diffusion and diffusion-thermo effects on the motion of hydromagnetic reacting micropolar fluid along an elongated surface with lateral mass flux in porous media. This body of work also presents a report on thermophoretic phenomenon together with viscous dissipation and heat source. The model equations are firstly transformed from partial derivatives to ordinary ones by the use of some similarity quantities and subsequently tracked numerically. The nonlinearity of the involving equations has compelled the use of stable Runge-Kutta-Fehlberg approach with shooting technique to provide the needed solution. To emphasize the influence of the governing parameters impacting the flow fields, variety of graphs have been plotted and discussed qualitatively. Verification of the numerical code with existing data in the literature shows an excellent agreement as checked under limiting conditions. It is evidently shown that the material quantity causes the fluid motion to accelerate, both thermo-diffusion and diffusion-thermo strengthen the heat distribution in the system while the concentration profile declines with chemical reaction.

Transportation of binary chemical reaction in entropy optimized micropolar fluid flow with activation energy and internal diffusion effects

Current investigation manages an analytical research on motion of micropolar fluid due to stretching sheet. Porosity is considered over a stretching sheet. Heat and mass transfer analysis is done under the effects of Joule heating, thermal radiation (nonlinear), viscous dissipation and activation energy for chemical reaction. Partial differential expressions are converted to ordinary ones by using similarity variables. Velocity, temperature and concentration profiles are examined against different physical variables like radiation parameter, Prandtl number, Eckert number, activation energy parameter, etc. Rate of irreversibility in the present flow system is also examined. Outcomes of different physical parameters are analyzed through graphs. Analysis of Sherwood number, drag force of surface and heat transfer rate is done through tables.

Peristaltic Motion of Micropolar Fluid With Slip Velocity in A Tapered Asymmetric Channel in Presence of Inclined Magnetic Field and Thermal Radiation

Peristaltic Motion of Micropolar Fluid With Slip Velocity in A Tapered Asymmetric Channel in Presence of Inclined Magnetic Field and Thermal Radiation

Peristaltic Motion of Micropolar Fluid With Slip Velocity in A Tapered Asymmetric Channel in Presence of Inclined Magnetic Field and Thermal Radiation

Peristaltic Motion of Micropolar Fluid With Slip Velocity in A Tapered Asymmetric Channel in Presence of Inclined Magnetic Field and Thermal Radiation

Numerical study of peristaltic motion of non-Newtonian fluid at high Reynolds number in an axisymmetric tube

In the present investigation, we have studied numerically the peristaltic motion of micropolar fluid through a circular tube without imposing low Reynolds number and long wave length assumption. Galerkin’s finite element method has been used on the governing Navier–Stokes equation in the form of $$\psi - \omega$$ . The current study obtained the microrotation and streamline line directly from governing equations. The graphs of computed longitudinal velocity and pressure are plotted against different value of emerging parameter using stream function and vorticity. We observed that for small value of coupling number and microrotation parameter, the rotation of fluid particles is much faster than that for large value of coupling number and microrotation parameter.

A mathematical model of magnetohydrodynamic micropolar fluid motion via permeable media with Soret and Dufour effects

A mathematical model of magnetohydrodynamic micropolar fluid motion via permeable media with Soret and Dufour effects

Homogeneous-heterogeneous reactions and heat source/sink effects in MHD peristaltic flow of micropolar fluid with Newtonian heating in a curved channel

Present analysis investigates the peristaltic motion of micropolar fluid in the presence of radial magnetic field. Analysis is arranged when homogeneous-heterogeneous reactions effects are accounted. Heat source/sink and Newtonian heating effects are also considered. Small Reynolds number and large wavelength are employed. Solutions of the resulting coupled equations are constructed. The resulting expressions for pressure gradient, pressure rise, velocity, temperature, concentration and stream function are utilized and discussed graphically. The micropolar and coupling parameters have conflicting impacts on pressure gradient, pressure rise and velocity.

Creeping motion of a micropolar fluid between two sinusoidal corrugated plates

The steady creeping motion of an incompressible micropolar fluid between two slightly corrugated plates is investigated using the perturbation technique up to the second order. Both normal and parallel flows to the corrugations are considered. The corrugations of the two walls are assumed to be either in phase or half-period out of phase. It is also, assumed that the corrugations are periodic sinusoidal waves of small amplitude. The assumption of low Reynolds number is applied so that the nonlinear inertial terms can be ignored. The effect of corrugations, the rate of flow and the mean velocity are illustrated versus the micropolarity, phase difference and wavelength of corrugations.

On axisymmetrical boundary problem of unsteady motion of micropolar fluid in the half-space

Abstract The aim of this paper is developing an exact solution for the problem of axisymmetrical flow of unsteady motion of micropolar fluid in the half-space when the shear stresses are given on the boundary. The Laplace-Hankel transform technique is used to solve this problem. Some physical quantities such as velocities, pressure and microrotations are obtained and illustrated numerically.

On a Problem of Nonstationary 2D Motion of Micropolar Fluid in the Half-plane Subjected to a Uniform Magnetic Field when Normal Stresses and Tangential Velocities are Given on the Boundary

Abstract In this paper, an attempt is made to obtain the effect of a uniform magnetic field on the solution of non-stationary motion of micropolar fluid in the half-plane when the normal stresses and tangential velocities are given on the boundary. The Laplace-Fourier transform technique is used to point out the solution by quadratures. Numerical results of the physical quantities such as tangential and normal velocities, pressure, microrotation, stresses and momentums included the influence of a uniform magnetic field are obtained and displayed graphically. The problem could be met in the study of the vibrations of a memberance or a plane contacting with the micropolar fluid.

On a Problem of Unsteady Motion of Micropolar Fluid in the Half-Space Subject to a Uniform Magnetic Field When the Velocities are Given on the Boundary

On a Problem of Unsteady Motion of Micropolar Fluid in the Half-Space Subject to a Uniform Magnetic Field When the Velocities are Given on the Boundary

Effect of the rotation, magnetic field and initial stress on peristaltic motion of micropolar fluid

In this work, the effect of magnetic field, rotation and initial stress on peristaltic motion of micropolar fluid in a circular cylindrical flexible tube with viscoelastic or elastic wall properties has been considered. Runge–Kutta technique are used. Runge–Kutta method is developed to solve the governing equations of motion resulting from a perturbation technique for small values of amplitude ratio. The time mean axial velocity profiles are presented for the case of free pumping and analyzed to observe the influence of wall properties, magnetic field, rotation and initial stress for various values of micropolar fluid parameters. In the case of viscoelastic wall, the effect of viscous damping on mean flow reversal at the boundary is seen. The numerical results of the time mean velocity profile are discussed in detail for homogeneous fluid under the effect of wall properties, magnetic field, initial stress and rotation for different cases by figures. The results indicate that the effect of wall properties, rotation, initial stress and magnetic field are very pronounced. Numerical results are given and illustrated graphically.

On a problem of nonstationary two-dimensional motion of micropolar fluid when normal stress and tangential velocity are given on the boundary

The object of this paper is to investigate the solution of nonstationary motion of micropolar fluid in the half-plane when the normal stresses and tangential velocities are given on the boundary. The Laplace–Fourier transform technique is used to point out the solution by quadratures. Numerical results of the physical quantities such as tangential and normal velocities, pressure, microrotation, stresses and momentums are obtained and displayed graphically. The problem could be met in the study of the vibrations of a memberance or a plate contacting with the fluid.

Long Wavelength Approximation to Peristaltic Motion of Micropolar Fluid with Wall Effects

Long Wavelength Approximation to Peristaltic Motion of Micropolar Fluid with Wall Effects

Regularity criteria of weak solutions to the three-dimensional micropolar flows

Regularity criteria of weak solutions to the three-dimensional micropolar fluid motion equations are discussed. Sufficient conditions for the regularity of weak solutions are presented by imposing Serrin’s type growth conditions on the velocity field in Lorentz spaces, multiplier spaces, bounded mean oscillation spaces, and Besov spaces, respectively. The findings demonstrate that the velocity field plays a dominant role in the regularity problem of micropolar fluid motion equations.

Peristaltic motion of micropolar fluid in circular cylindrical tubes: Effect of wall properties

In this paper, peristaltic motion of micropolar fluid in a circular cylindrical flexible tube with viscoelastic or elastic wall properties has been considered. A finite difference scheme is developed to solve the governing equations of motion resulting from a perturbation technique for small values of amplitude ratio. The time mean axial velocity profiles are presented for the case of free pumping and analysed to observe the influence of wall properties for various values of micropolar fluid parameters. In the case of viscoelastic wall, the effect of viscous damping on mean flow reversal at the boundary is seen.

Pullback attractors of non-autonomous micropolar fluid flows

Pullback attractors of the two-dimensional non-autonomous micropolar fluid motion model in a bounded domain are investigated. It is shown that a compact pullback attractor in H 1 ( Ω ) 3 exists when its external driven function is translation bounded with respect to L 2 ( Ω ) 3 .

On upper and lower bounds of higher order derivatives for solutions to the 2D micropolar fluid equations

The present paper is concerned with asymptotic behaviours of the solutions to the micropolar fluid motion equations in R 2 . Upper and lower bounds are derived for the L 2 decay rates of higher order derivatives of solutions to the micropolar fluid flows. The findings are mainly based on the basic estimates of the linearized micropolar fluid motion equations and generalized Gronwall type argument.

Decay estimates of linearized micropolar fluid flows in R3 space with applications to L3-strong solutions

Through analytical argument, the L p − L q estimate of a three-dimensional linearized micropolar fluid flow in the whole space R 3 is established. This estimate is used to show the existence and uniqueness of small L 3-strong solutions of the micropolar fluid motion system. Sharp time decay estimates of the L 3-strong solutions are derived.