Boundary layer analysis of the Phan-Thien-Tanner and Giesekus model in high Weissenberg number flow
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.
Journal of Non-Newtonian Fluid Mechanics
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