Narrow band noise as a model of time-dependent accelerations - Study of the stability of a fluid surface in a microgravity environmentWe introduce a stochastic model to analyze in quantitative detail the effect of the high frequency components of the residual accelerations onboard spacecraft (often called g-jitter) on fluid motion. The residual acceleration field is modeled as a narrow band noise characterized by three independent parameters: its intensity G squared, a dominant frequency Omega, and a characteristic spectral width tau exp -1. The white noise limit corresponds to Omega tau goes to O, with G squared tau finite, and the limit of a periodic g-jitter (or deterministic limit) can be recovered for Omega tau goes to infinity, G squared finite. The analysis of the response of a fluid surface subjected to a fluctuating gravitational field leads to the stochastic Mathieu equation driven by both additive and multiplicative noise. We discuss the stability of the solutions of this equation in the two limits of white noise and deterministic forcing, and in the general case of narrow band noise. The results are then applied to typical microgravity conditions.
Document ID
19930040968
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Casademunt, Jaume (NASA Lewis Research Center Cleveland, OH, United States)
Zhang, Wenbin (NASA Lewis Research Center Cleveland, OH, United States)
Vinals, Jorge (Florida State Univ. Tallahassee, United States)
Sekerka, Robert F. (Carnegie Mellon Univ. Pittsburgh, PA, United States)
Date Acquired
August 16, 2013
Publication Date
January 1, 1993
Subject Category
Fluid Mechanics And Heat Transfer
Report/Patent Number
AIAA PAPER 93-0911
Meeting Information
Meeting: AIAA, Aerospace Sciences Meeting and Exhibit