Micropolar Boundary Layer Research Articles

Micropolar boundary layer flow at a stagnation point on a moving wall

The theory of micropolar fluids due to Eringen is used to formulate a set of boundary layer equations for 2-dimensional flow of an incompressible, constant density micropolar fluid at a stagnation point on a moving wall. The governing boundary layer equations are solved numerically. The development of the velocity of distribution has been illustrated for several positive and negative values of the wall velocity. A discussion is provided for the dependence of the important flow characteristics on the material parameters.

The asymptotic boundary layer on a circular cylinder in axisymmetric micropolar fluid flow

An asymptotic boundary layer analysis is presented using the theory of micropolar fluids due to Eringen. The laminar boundary layer induced on the outside of a long, slender cylinder due to the flow of an incompressible micropolar fluid parallel to the axis of the cylinder is investigated. For reasons of both analytical and practical interests the boundary layer characteristics far down stream from the leading edge are analyzed on the basis of their asymptotic nature. Asymptotic series solutions for the velocity and micro-rotation fields are obtained. An expression for the new micropolar boundary layer thickness is derived. Central to the present investigation is the result that while calculating the skin friction one should take into account the total surface stress effects, not only due to the usual shear stresses but also due to the couple stresses. As a result, it is shown that the micropolar theory does predict a reduction in skin friction as is observed in experiments thus confirming Eringen's well known conjecture.

Self-similar solution of imcompressible micropolar boundary layer flow over a semi-infinite plate

Theory of microplar fluid and its application to low concentration suspension flow is discussed. The boundary layer flow over a semi-infinite flat plate is studied. It is observed that when the micro-inertia is not constant, it is possible to obtain self-similar solutions. The partial differential equations of motion are then reduced to 2 couple differential equations. The numerical solutions for different values of the parameters are obtained. The variation of the velocity, micro-rotation, shear and couple stresses are plotted and discussed.