Inertial, viscous and yield stress effects in Bingham fluid filling of a 2-D cavity

The present study concentrates on Bingham fluid filling of a 2-D cavity and examines the relative importance of inertial, viscous and yield stress effects on the filling profile. The results presented are obtained using PAM-CAST/SIMULOR, which was modified by introducing a regularized Bingham fluid constitutive relation. The results identify five different flow patterns: "mound," "disk," "shell," "bubble," and a "transition flow" between that of mound and bubble patterns. A complete map of the flow patterns as a function of the Reynolds and Bingham numbers is also presented and discussed using dimensional and physical arguments within a simplified theoretical framework. (C) 2001 Elsevier Science B.V. All rights reserved.