An Approximate Solution for Flow between Two Disks Rotating about Distinct Axes at Different Speeds
نویسنده
چکیده
The flow of a linearly viscous fluid between two disks rotating about two distinct vertical axes is studied. An approximate analytical solution is obtained by taking into account the case of rotation with a small angular velocity difference. It is shown how the velocity components depend on the position, the Reynolds number, the eccentricity, the ratio of angular speeds of the disks, and the parameters satisfying the conditions u= 0 and ν= 0 in midplane.
منابع مشابه
Effect of Magnetic Field on the Rotating Flow in a Similar Czochralski Configuration
We present a numerical study of the rotating flow generated by two rotating disks in co-/counter-rotating, inside a fixed cylindrical enclosure similar to the Czochralski configuration (Cz). The enclosure having an aspect ratio A = H/Rc equal to 2, filled with a low Prandtl number fluid (Pr = 0.011), which is submitted to a vertical temperature gradient. The finite volume method has been used ...
متن کاملA Numerical Study of Flow and Heat Transfer Between Two Rotating Vertically Eccentric Spheres with Time- Dependent Angular Velocities
The transient motion and the heat transfer of a viscous incompressible flow contained between two vertically eccentric spheres maintained at different temperatures and rotating about a common axis with different angular velocities is numerically considered when the angular velocities are an arbitrary functions of time. The resulting flow pattern, temperature distribution, and heat transfer char...
متن کاملPressure Calculation in the Flow Between Two Rotating Eccentric Cylinders at High Renolds Numbers
This paper reports the result of an analytical investigation of a steady, incompressible and viscous flow between two eccentric, rotating cylinders at high Reynolds number. A one dimensional case is far from reality because the gap between the cylinders is very small. Further, when their axes are displaced by a small distance, usually caused by bearing loads, two dimensional effects become obvi...
متن کاملDirect numerical simulation of Open Von Kármán Swirling Flow
Direct numerical simulations are used to investigate the Open Von Kármán Swirling Flow, a new type of unsteady three-dimensional flow that is formed between two counter-rotating coaxial disks with an axial extraction enclosed by a cylinder chamber. Solution verification shows that monotonic convergence is achieved on three systematically refined grids for average pressure at the disk periphery ...
متن کاملElastico-Viscous Flow between Two Rotating Discs of Different Transpiration for High Reynolds Numbers (RESEARCH NOTE)
The flow in an elastico-viscous fluid between two co-axial infinite rotating porous discs is considered for high cross flow Reynolds number. The discs are rotating with different angular velocity and the injection rate of the fluid at one disc is different from the suction rate of other disc. The effect of suction parameters on the velocity components have been investigated numerically and solv...
متن کامل