Archive for Rational Mechanics and Analysis

, Volume 62, Issue 3, pp 237–294

Flow of a Newtonian fluid between eccentric rotating cylinders: Inertial effects

Authors

  • B. Y. Ballal
    • Center for the Application of MathematicsLehigh University
  • R. S. Rivlin
    • Center for the Application of MathematicsLehigh University
Article

DOI: 10.1007/BF00280016

Cite this article as:
Ballal, B.Y. & Rivlin, R.S. Arch. Rational Mech. Anal. (1976) 62: 237. doi:10.1007/BF00280016

Abstract

A detailed analysis is carried out of the flow of a Newtonian fluid in the annular region between two infinitely long circular cylinders with parallel axes, resulting from the uniform rotation of one, or both, of the cylinders about their axes. No restriction is placed on the geometry of the system and results are obtained both with the neglect of inertial effects and for the linearized inertial approximation. In both cases, the resultant of the forces exerted by the fluid on the cylinders and the distribution of their normal and tangential components over the cylinders are calculated, and the stream-line patterns are analyzed in some detail. A number of conditions, under which stagnation points, separation points and eddies can exist, are established.

Copyright information

© Springer-Verlag 1976