Abstract
The flow of a visco-elastic fluid near a point of re-attachment is examined to see how elasticity affects the constant slope-ratio relationship which Newtonian fluids exhibit. The slope of the dividing streamline at the point of re-attachment divided by the slope of the same streamline far from the wall is found to be constant in the visco-elastic case, as well, for all angles of incidence. The slope ratio depends solely on the Weissenberg number which measures the extent to which viscous effects dominate elasticity effects.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
D. W. Beard and K. Walters, Proc. Camb. Phil. Soc.60, 667–674 (1964).
J. T. Stuart, J. Aero/Space Sci.26, 124–125 (1959).
K. Tamada, J. Phys. Soc. Japan46, 310–311 (1979).
J. M. Dorrepaal, J. Fluid Mech.163, 141–147 (1986).
K. Hiemenz, Dingler's Polytech. J.326, 321–324 (1911).
S. Goldstein,Modern Developments in Fluid Dynamics, p. 151, Dover Publ, New York 1965.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dorrepaal, J.M., Chandna, O.P. & Labropulu, F. The flow of a visco-elastic fluid near a point of re-attachment. Z. angew. Math. Phys. 43, 708–714 (1992). https://doi.org/10.1007/BF00946258
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00946258