L-shaped Cavity Research Articles

Analyses of transient viscous fluid creeping flows with free surfaces. Finite element analyses using marker particles.

Analyses of transient incompressible fluid flow with free surfaces are conducted using the penalty function formulation of the finite element method. Markers in a finite element can well simulate the deforming free surfaces simply by moving toward the direction of the velocity vectors. In order to move the markers from element to element the area coordinate system of the linear triangular element, which is utilized for determining the new marker position in an element, is introduced into the four-node rectangular isoparametric element. A punch indentation problem is first solved to verify the scheme, and the results are compared with those obtained by the mesh rezoning method. In the next example successive stages of a deformed free surface by the injection molding of an L-shaped cavity are shown. The flows are considered as purely Newtonian.

Exact Solution Of The Three-dimensional Orienta-Tion Structure In A Geometrically Complex MoldCavity

A new method is presented to determine the three-dimensional orientation structure in complex flows through a mold cavity. Such flows commonly occur during injection and compression molding of short-fiber-reinforced composite materials. In this study, the fibers are assumed to be rigid and neutrally buoyant with large aspect ratios. The suspending fluid is taken to be Newtonian and the rotational dynamics of individual fibers is governed by the Jeffery's theory. It is shown that the orientation structure can be fully described by the three-dimensional secondorder orientation tensors which can be obtained from flow kinematics. In addition, these tensors are expressed as a function of the particle rotation tensor. Sample orientation results are shown at different levels through the thickness of an Lshaped mold cavity.