Abstract
The paper is concerned with the continuous squeezing flow of Oldroyd-type fluids in a two-dimensional wedge. The flow mimics the lubrication action in a squeezing flow and is important in that there exists a similarity solution for any simple fluid. We are only concerned with Oldroyd-type fluids, however. It is shown by using a parameter continuation method that the Oldroyd-B model has a limiting Weissenberg number. The Phan Thien/Tanner model does not have this limiting Weissenberg number.
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Phan-Thien, N., Zheng, R. On the continuous squeezing flow in a wedge. Rheola Acta 30, 491–496 (1991). https://doi.org/10.1007/BF00396533
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DOI: https://doi.org/10.1007/BF00396533