Stokes’ Second Problem for a Micropolar Fluid with Slip
نویسندگان
چکیده
In this paper is presented the model of an incompressible micropolar fluid flow with slip using the initial and boundary conditions when the wall velocity is considered depending on the frequency of the vibration. Regarding the boundary conditions of the velocity at the wall, we remark that there is a discontinuity of the velocity at the fluid-wall interface. The solutions for velocity and microrotation with the given conditions are obtained using the method of numerical inversion of Laplace transform.
منابع مشابه
HALL AND LON-SLIP EFFECTS ON MAGNETO-MICROPOLAR FLUID WITH COMBINED FORCED AND FREE CONVECTION IN BOUNDARY LAYER FLOW OVER A HORIZONTAL PLATE WITH VISCOUS DISSIPATION
In this paper, we study the effects of Hall and ion-slip currents on the steady magneto-micropolar of a viscous incompressible and electrically conducting fluid over a horizontal plate by taking in to account the viscous dissipation effects. By means of similarity solutions, deviation of fundamental equations on the assumption of small magnetic Reynolds number are solved numerically by using qu...
متن کاملUnsteady MHD Micropolar Fluid Flow Generated Due to Longitudinal and Torsional Oscillations of Circular Cylinder
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...
متن کاملEffect of Induced Magnetic Field on Peristaltic Transport of a Micropolar Fluid in the Presence of Slip Velocity
This paper concern with the investigation of peristaltic transport of a micropolar fluid in an asymmetric channel in the presence of induced magnetic field. The effect of slip velocity on the boundaries of the flow field is taken into account. The analysis is carried out by using long wave length and low Reynolds number assumptions. Mathematical expressions for axial velocity, stream function, ...
متن کاملSteady Mhd Flow of Micropolar Fluid between Two Rotating Cylinders with Porous Lining
The steady flow of an electrically conducting, incompressible micropolar fluid in a narrow gap between two concentric rotating vertical cylinders, with porous lining on inside of outer cylinder, under an imposed axial magnetic field is studied. Beavers and Joseph slip condition is taken at the porous lining boundary. The velocity profiles, coefficient of skin friction on the cylinders are calcu...
متن کاملWater Flows in Copper and Quartz Nanochannels
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...
متن کامل