Investigation of the Motion of Viscous Fluid between Rotating Disks

Abstract

The issue of the motion of fluid between two rotating disks often arises in practice and it has been little investigated yet. The practical instances of this issue are designing distributors of disk-type fuel pumps, lubrication of smooth disk surfaces during rotation etc. The present article studies the process of the leakage of fluid between disks when the fluid is supplied to the disks under a certain pressure P. The objective of the research is to obtain mathematical models for determining the amount of the fluid leaking at the pin and the amount of the fluid leaking out. It is shown that the leakage of the fluid between the disks can be described using the Navier–Stokes equation system. The mathematical models for determining the amount of the fluid leaking at the pin and the amount of the fluid leaking out have been obtained.