The phenomenon of hole pressure occurs whenever a polymeric or viscoelastic liquid flows over a depression in a conduit wall. Numerical simulation of the upper-convected Maxwell fluid passing over a transverse slot is considered herein. This fluid is a typical model for the non-Newtonian behavior of some polymeric liquid. Results are computed by an elastic-viscous split stress finite element method, a mixed finite element method, incorporating the non-consistent streamline upwind scheme. As a verification of the numerical scheme, the hole-pressure is evaluated for various Deborah number (De), and is compared with the analytical prediction derived from the Higashitani-Pritchard (HP) theory. The agreement between the two is found to be satisfactory for creeping flow in the low De range for which the Higashitani-Pritchard theory is valid. The Deborah number up to 4.0 for convergence of the algorithm has been obtained. Furthermore, the effects of fluid elasticity, inertial, and slot geometry on the hole-pressure are presented and discussed.
|Number of pages||8|
|Journal||Journal of the Chinese Society of Mechanical Engineers, Transactions of the Chinese Institute of Engineers, Series C/Chung-Kuo Chi Hsueh Kung Ch'eng Hsuebo Pao|
|Publication status||Published - 1999|
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