Flow of Micropolar Fluid Between Two Parallel Plates with Different Periodic Suction and Injection

The unsteady stokes flow of incompressible micropolar fluid between two porous plates is considered. The lower plate is subjected to periodic suction and different periodic injection is applied at the upper plate. Stream function for the flow is obtained and the variation of velocity function f  & g with  is shown graphically. The effects of the dimensionless parameters p, frequency parameter pt , micropolarity parameter pl and the microrotation parameter pj on the velocity functions f  and microrotation velocity function g are discussed and shown through the graphs.

Numerical Study of Micropolar Fluid Flow Past an Impervious Sphere

The numerical study of axi-symmetric, steady flow of an incompressible micropolar fluid past an impervious sphere is presented by assuming uniform flow far away from the sphere. The continuity, linear and angular momentum equations are considered for incompressible micropolar fluid in accordance with Eringen. The governing equations of the physical problem are transformed to ordinary differential equation with variable co-efficient by using similarity transformation method. The obtained differential equation is then solved numerically by assuming the shooting technique. The effect of coupling and coupling stress parameter on the properties of the fluid flow is studied and demonstrated by graphs.

Transient Heat and Mass Transfer of Micropolar Fluid between Porous Vertical Channel with Boundary Conditions of Third Kind

An investigation of heat and mass transfer characteristics of unsteady free convective flow of viscous incompressible micropolar fluid between the vertical porous plates in the presence of thermal radiation is carried out in the present work. The fluid is considered to be grey, absorbing–emitting but non scattering medium and the Cogley–Vincent–Gilles formulation is adopted to simulate the radiation component of heat transfer. The resulting system of equations is solved numerically with Crank–Nicolson implicit finite difference method. The effects of various physical parameters such as transient, micropolar parameter, radiation parameter, Reynolds number, Schmidt number, heat and mass transfer Biot numbers on the velocity, temperature and concentration field are discussed graphically.

Flow of a Micropolar Fluid Through a Channel with Small Boundary Perturbation

The aim of this paper is to investigate the effects of small boundary perturbations on the flow of an incompressible micropolar fluid. The fluid domain is described as follows: we start from a simple rectangular domain and then perturb part of its boundary by the product of a small parameterϵand some smooth functionh. Using formal asymptotic analysis with respect toϵ, we derive the effective model in the form of the explicit formulae for the velocity, pressure and microrotation. The asymptotic solution clearly acknowledges the effects of the boundary perturbation and the micropolar nature of the fluid. The obtained results are illustrated by some numerical examples confirming that the considered perturbation has a nonlocal impact on the solution.

Asymptotic analysis of the lubrication problem with nonstandard boundary conditions for microrotation

The purpose of this paper is to propose a new effective model describing lubrication process with incompressible micropolar fluid. Instead of usual zero Dirichlet boundary condition for the microrotation, we consider more general (and physically justified) type of boundary condition at the fluid-solid interface, linking the velocity and microrotation through a so-called boundary viscosity. Starting from the linearized micropolar equations, we derive the second-order effective model by means of the asymptotic analysis with respect to the film thickness. The resulting equations, in the form of the Brinkman-type system, clearly show the influence of new boundary conditions on the effective flow. We also discuss the rigorous justification of the obtained asymptotic model.