A simplified method for introducing the Cross viscosity law in the numerical simulation of Hele Shaw flow

Verhoyen, Olivier;Dupret, François
(1998) Journal of Non-Newtonian Fluid Mechanics — Vol. 74, n° 1-3, p. 25-46 (1998)

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  • Verhoyen, OlivierUCLouvain
    Author
  • Dupret, FrançoisUCLouvain
    Author
Abstract
The aim of this paper is to analyse the influence of the polymer viscosity on the flow during the injection moulding process. A new method has been developed in order to easily represent a viscosity law exhibiting a Newtonian plateau at low shear rates, and a power-law dependence at high shear rates. In particular, the Cross law can be used without involving a dramatic increase of the computational cost through multiple quadratures in the gapwise direction during pressure calculations. Several examples are analysed and discussed. (C) 1998 Elsevier Science B.V.
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Verhoyen, O., & Dupret, F. (1998). A simplified method for introducing the Cross viscosity law in the numerical simulation of Hele Shaw flow. Journal of Non-Newtonian Fluid Mechanics, 74(1-3), 25-46. https://doi.org/10.1016/S0377-0257(97)00061-X (Original work published 1998)