3D Linear Stability Analysis Of 2D Free Surface Flows
Author(s)
E. D. Wilkes & M. Hopkins
Abstract
3D linear stability analysis of 2D free
surface flows
E. D. ~ilkes' & M. ~ o ~ k i n s ~
'GRAM, Inc., USA
2 Sandia National Laboratories, USA
Abstract
Fluid flow processes that have a two-dimensional structure can be subjected to
disturbances in the third (transverse) direction as well as the two primary flow
directions. Therefore, a complete linear stability analysis of such a process
entails verification of stability in all directions. This work focuses on the general
implementation of an algorithm for use with a finite element program to enable
two-dimensional flow simulations to be combined with linear stability analysis
in all three directions. Here, transverse disturbances are modeled and analyzed
by normal mode analysis. The algorithm is validated against a simple cylindrical
static liquid layer problem by demonstrating agreement with analytical solutions.
Results are also presented and discussed for simple Rayleigh-Benard convection
and for a slot coater problem.
1 Introduction
Typic
Keywords
Related Book
Other papers in this volume
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