We study the flow of a micropolar fluid in thin domain with microstructure, i.e., thickness $$\varepsilon $$ which is perforated by periodically distributed solid cylinders size $$a_\varepsilon . A main feature this dependence characteristic length on small parameters describing geometry porous medium under consideration. Depending ratio respect to , we derive three different generalized Darcy ...

Lubrication flows appear in many applications in engineering, biophysics, and in nature. Separation of surfaces and minimisation of friction and wear is achieved when the lubrication fluid builds up a lift force. In this paper we analyse soft lubricated contacts by treating the solid walls as viscoelastic: soft materials are typically not purely elastic, but dissipate energy under dynamical loa...

Cerebrospinal fluid (CSF) pulsations have been proposed as a possible causative mechanism for the ventricular enlargement that characterizes the neurological condition known as hydrocephalus. This paper summarizes recent work by the authors to anaylze the effect of CSF pulsations on brain tissue to determine if they are mechanically capable of enlarging the cerebral ventricles. First a poroelas...

Abstract A boundary layer analysis is presented for the fluid flow and heat transfer characteristics of an incompressible micropolar fluid flowing over a plane moving surface in parallel or in reverse to the free stream. The isothermal boundary condition has been treated in this paper. The resulting system of non-linear ordinary differential equations is solved by the multi-stage continuous Run...

Abstract: The flow generated by a circular cylinder, performing longitudinal and torsional oscillations, in an infinite expanse of a micropolar fluid is studied under the influence of uniform transverse magnetic field. Analytical expressions for the velocity components and micro rotation components are obtained by using no slip and hyper stick conditions on the boundary of the cylinder. The eff...

A review is presented covering the latest contributions to the slow viscoelastic flow past solid spheres and bubbles. The existing theoretical approaches are reviewed together with the available numerical methods. The proximity of container walls and its effect upon the motion of a sphere is also considered. Emphasis has been made on presenting recent experimental and numerical work intended to...

This study emphasis on the analysis of boundary layer flow viscoelastic fluid with microrotation moving over a porous horizontal circular cylinder. The model problem is based Navier Stokes equations which involved continuity, momentum and micro inertia equations. mentioned are first undergo Boussinesq approximation before transforming to non-dimensional form in partial differential system. Sinc...

An investigation of reflection and transmission phenomena of plane longitudinal wave from a plane interface between two distinct micropolar porous elastic solid half-spaces in welded contact has been made. Using the method of potentials, the appropriate boundary conditions at the interface are solved to obtain the amplitudes of various reflected and transmitted waves. It has been noticed that t...