Title

Orientation of Symmetric Bodies Falling in a Second-Order Liquid At Nonzero Reynolds Number

Document Type

Article

Publication Date

11-1-2002

Abstract

We study the steady translational fall of a homogeneous body of revolution around an axis a, with fore-and-aft symmetry, in a second-order liquid at nonzero Reynolds (Re) and Weissenberg (We) numbers. We show that, at first order in these parameters, only two orientations are allowed, namely, those with a either parallel or perpendicular to the direction of the gravity g. In both cases the translational velocity is parallel to g. The stability of the orientations can be described in terms of a critical value Ec for the elasticity number E = We/Re, where Ec depends only on the geometric properties of the body, such as size or shape, and on the quantity (ψ1 + ψ2)/ψ1, where ψ1 and ψ2 are the first and second normal stress coefficients. These results are then applied to the case when the body is a prolate spheroid. Our analysis shows, in particular, that there is no tilt-angle phenomenon at first order in Re and We.

DOI

10.1142/S0218202502002276

This document is currently not available here.

Share

COinS