Annular Effect in Viscoelastic Fluids
- 1 August 1964
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 7 (8) , 1143-1146
- https://doi.org/10.1063/1.1711353
Abstract
In the oscillating motion of an incompressible viscoelastic fluid in a pipe, at high Reynolds number the root‐mean‐square axial velocity has its maximum value in a boundary layer at the wall of the tube. The elasticity of the fluid can make this annular effect much more pronounced than it is in the case of a Newtonian viscous fluid. The analysis is carried out for small‐amplitude oscillations of a general viscoelastic fluid, and the exact solution for this case is compared with the solution obtained by the boundary‐layer approximation. The solution in the case of slow motion of arbitrary amplitude is also considered, and it is shown that no annular effect occurs in this case.Keywords
This publication has 4 references indexed in Scilit:
- Alternating flow of non-Newtonian fluids in tubes of arbitrary cross-sectionArchive for Rational Mechanics and Analysis, 1964
- Constraints on flow invariants due to incompressibilityZeitschrift für angewandte Mathematik und Physik, 1962
- Über den von E. G. Richardson entdeckten „Annulareffekt“The European Physical Journal A, 1930
- The transverse velocity gradient near the mouths of pipes in which an alternating or continuous flow of air is establishedProceedings of the Physical Society, 1929