in this paper, static performance characteristics for a finite lenght two-lobe journal bearing lubricated with micropolar fluid is studied. using finite element method, steady-state film pressure is obtained by solving modified reynolds equation, based on micropolar lubrication theory. with the help of film pressure in bearing, the static performance characteristics in terms of load carrying ca...

New fundamental solutions for micropolar fluids are derived in explicit form for twoand threedimensional steady unbounded Stokes and Oseen flows due to a point force and a point couple, including the two-dimensional micropolar Stokeslet, the twoand three-dimensional micropolar Stokes couplet, the three-dimensional micropolar Oseenlet, and the three-dimensional micropolar Oseen couplet. These fu...

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 effect of uniform distribution of internal heat generation on the linear stability analysis of the Benard-Marangoni convection in an Eringen’s micropolar fluids with feedback control is investigated theoretically. The upper free surface is assumed to be non-deformable and the lower boundary is taken to be rigid and isothermal with fixed temperature and spanvanishing boundaries. The eigenval...

Numerous experimental results indicate, that the microscale flows are essentially different from flows in large scale [1], [2]. The continuum Navier-Stokes approach, suitable for large sale flows, is not applicable to small scales. At the same time, however, there exists an extension of the Navier – Stokes approach, also based on the assumption of a continuous medium – the micropolar fluid mode...

Abstract—In this paper, the dynamic characteristics of a threelobe journal bearing lubricated with micropolar fluids are determined by the linear stability theory. Lubricating oil containing additives and contaminants is modelled as micropolar fluid. The modified Reynolds equation is obtained using the micropolar lubrication theory .The finite difference technique has been used to determine the...

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 ...

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...

and Applied Analysis 3 a bounded domain of R3. Indeed, the analysis of our situation is still more difficult. The difficulties arise from the lack of smoothness of the weak solution. To overcome this difficulty a penalization argument is needed. This argument generalizes the penalization method given in 10 , for the Navier-Stokes equations, to this case of micropolar fluids. In fact, if we take...