The instability of liquid films with temperature-dependent properties flowing down a heated incline

• Published in: AIMS mathematics Vol. 4; no. 6; pp. 1700 - 1720
• Main Authors: Pascal, Jean-Paul, D’Alessio, Serge, Rubaida Zafar, Syeda
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2019
• Subjects: colloacation method; inclined flow; linear stability analysis; thermocapillary marangoni effect; variable fluid properties

We investigate the stability of free-surface flow on a heated incline. We develop a complete mathematical model for the flow which captures the Marangoni effect and also accounts for changes in the properties of the fluid with temperature. We apply a linear stability analysis to determine the stabil...