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Analysis for Lubrication between a Rotating Cylinder and a Translating Plate

회전하는 원통과 병진운동하는 평판사이의 윤활유동해석

  • 정호열 (전남대학교 대학원 기계공학과) ;
  • 정재택 (전남대학교 기계시스템공학부, 전남대학교 자동차연구소)
  • Published : 2002.12.01

Abstract

Two dimensional slow viscous flow between a rotating cylinder and a translating plate is investigated using Stokes' approximation. An exact formal expression of the stream function is obtained by using the bipolar cylinder coordinates and Fourier series expansion. From the stream function obtained, the streamline patterns are shown and the pressure distribution in the flow field is determined. By integrating the stress distributions on the cylinder, the farce and the moment exerted on the cylinder are calculated. The flow rate through the gap between the cylinder and the plate is also determined as a function of the distance between the cylinder and the plate. Special attention is directed to the case of very small distance between the cylinder and the plate concerned with the lubrication theory and the minimum pressure is calculated to explain a possible cavitation.

Keywords

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