Phys. Rev. Lett. 90, 154501 (2003) - Low-Dimensional Models for Vertically Falling Viscous Films

Low-Dimensional Models for Vertically Falling Viscous Films

Mohan K. R. Panga and Vemuri Balakotaiah

Phys. Rev. Lett. 90, 154501 – Published 18 April 2003

Abstract

Long wave evolution on free falling viscous films is described using a new evolution equation. The scaling proposed here brings in the viscous and pressure correction terms that are missing in the existing long-wave equations. Small amplitude expansion of the equation gives a dissipative form of the Kuromoto-Sivashinsky equation. Improved accuracy of the new equation over existing equations is demonstrated by comparison of neutral curves with Orr-Sommerfeld equations and experimental data.

Received 14 November 2002

DOI:https://doi.org/10.1103/PhysRevLett.90.154501

©2003 American Physical Society

Authors & Affiliations

Mohan K. R. Panga and Vemuri Balakotaiah

Department of Chemical Engineering, University of Houston, Houston, Texas 77204-4004

Comments & Replies

Comment on “Low-Dimensional Models for Vertically Falling Viscous Films”

Christian Ruyer-Quil and Paul Manneville

Phys. Rev. Lett. 93, 199401 (2004)

Balakotaiah and Mudunuri Reply:

V. Balakotaiah and R. R. Mudunuri

Phys. Rev. Lett. 93, 199402 (2004)

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand

Issue

Vol. 90, Iss. 15 — 18 April 2003

Reuse & Permissions

Access Options

Author publication services for translation and copyediting assistance advertisement

Sign up to receive regular email alerts from Physical Review Letters