WSEAS Transactions on Fluid Mechanics
Print ISSN: 1790-5087, E-ISSN: 2224-347X
Volume 14, 2019
On Distribution of Speeds and Pressures near the Surface of Rotating Discs
Authors: ,
Abstract: A joint solution of the Navier-Stokes equations and the continuity equation for a disc of finite radius rotating at a constant angular frequency of are found. The gas compressibility and, accordingly, the second viscosity in the Navier-Stokes equation are taken into account. An analytical solution of the problem is found, and velocity distributions, as well as density and pressure near the surface of the disk under conditions of purely laminar flow, are obtained as functions of the cylindrical coordinates and . It is shown that if a disk is a sandwich type structure consisting of two identical disks but rotating in opposite directions, a lifting force effect appears.