Boundary layer analysis of the Phan-Thien-Tanner and Giesekus model in high Weissenberg number flow

Authors

Thomas Hagen, Virginia Polytechnic Institute and State UniversityFollow
Michael Renardy, Virginia Polytechnic Institute and State University

Abstract

We derive the boundary layer equations for the Phan-Thien-Tanner (PTT) fluid and the Giesekus fluid in two-dimensional creeping flow along a flat boundary for high Weissenberg numbers W. While it was show in [M. Renardy, High Weissenberg number boundary layers for the upper convected Maxwell fluid, J. Non-Newtonian Fluid Mech., 68 (1997) 125-132] that the upper convected Maxwell fluid furnishes a boundary layer of order W-1, the PTT model furnishes a thicker boundary layer of order W-1/3, while the Giesekus model leads to a boundary layer of order W-1/2. © 1997 Elsevier Science B.V.

Publication Title

Journal of Non-Newtonian Fluid Mechanics

Recommended Citation

Hagen, T., & Renardy, M. (1997). Boundary layer analysis of the Phan-Thien-Tanner and Giesekus model in high Weissenberg number flow. Journal of Non-Newtonian Fluid Mechanics, 73 (1-2), 181-189. https://doi.org/10.1016/S0377-0257(97)00035-9