Steady, laminar, incompressible and two-dimensional flow of a micropolar fluid between two porous coaxial disks is considered. To describe the working fluid, we use the micropolar model given by Eringen. The governing equations of motion are reduced to a set of non-linear coupled ordinary differential equations using Berman’s similarity transformation. The SOR iterative method is used to solve ...

In this paper, a new theory of generalized micropolar thermoelasticity is derived by using fractional calculus. The generalized heat conduction equation in micropolar thermoelasticity has been modified with two distinct temperatures, conductive temperature and thermodynamic temperature by fractional calculus which depends upon the idea of the RiemannLiouville fractional integral operators. A un...

1. Abstract Micropolar field theory represents an extension of the classical Cauchy continuum theory. In this paper, a topology optimization procedure for maximum stiffness is applied to structural elements made of micropolar (Cosserat) solids. Some special problems are dealt with, and particular attention is given to models that refer to structural interfaces. The results are in good agreement...

There are two competing descriptions of nematic liquid crystal dynamics: the Ericksen-Leslie director theory and the Eringen micropolar approach. Up to this day, these two descriptions have remained distinct in spite of several attempts to show that the micropolar theory includes the director theory. In this paper we show that this is the case by using symmetry reduction techniques and introduc...

The present study deals with the analysis of unsteady boundary layer flow and heat transfer of an incompressible micropolar fluid over a stretching sheet when the sheet is stretched in its own plane. The velocity and temperature are assumed to vary linearly with the distance along the sheet. Two equal and opposite forces are impulsively applied along the x-axis so that the sheet is stretched, k...

In this paper free convection from a horizontal isothermal elliptic tube placed in a micropolar fluid with its major axis vertical is investigated. The governing equations are based on the conservation of mass, linear momentum, angular momentum and energy. The full governing equations written in stream function-vorticity formulation are solved numerically using the Spectral method based on Four...

The paper deals with the investigations of boundary layer stagnation point flow and heat transfer characteristics of an electrically conducting micropolar fluid impinging normally on a permeable horizontal surface in the presence of a uniform magnetic field. The fluid is considered to be non-Newtonian, whose flow is governed by the equations of a micropolar fluid. The governing continuity, mome...

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...

Unsteady boundary layer flow of an incompressible micropolar fluid over a stretching sheet when the sheet is stretched in its own plane is studied in this paper. The stretching velocity is assumed to vary linearly with the distance along the sheet. Two equal and opposite forces are impulsively applied along the x-axis so that the sheet is stretched, keeping the origin fixed in a micropolar flui...