Work

Oscillatory and monotonic modes of long-wave Marangoni convection in a thin film

Year: 2010

Type: article

Abstract: We study long-wave Marangoni convection in a layer heated from below. Using the scaling k=O(square root(Bi)), where k is the wave number and Bi is the Biot number, we derive a set of amplitude equations. Analysis of this set shows presence of monotonic and oscillatory modes of instability. Oscillatory mode has not been previously found for such direction of heating. Studies of weakly nonlinear dynamics demonstrate that stable steady and oscillatory patterns can be found near the stability threshold.

Source: Physical Review E

DOI: 10.1103/physreve.82.025302

Authors: S. Shklyaev, M. Khenner, A. A. Alabuzhev

Institutions: California Institute of Technology, Ural Branch of the Russian Academy of Sciences, Institute of Continuous Media Mechanics, Western Kentucky University, Perm State University

Language: English

Topic: Fluid Dynamics and Thin Films

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

Funder: Russian Foundation for Basic Research

OpenAlex ID: W1999575830

FWCI: 1.286

Cites: 14

Cited by: 22

Related to: 10