Steady Thermosolutocapillary Instability in Fluid Layer with Nondeformable Free Surface in the Presence of Insoluble Surfactant and Gravity

Authors

Razihan Allias, Department of Mathematics, Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, MalaysiaFollow
Mohd Agos Salim Nasir, Department of Mathematics, Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, MalaysiaFollow
Seripah Awang Kechil, Department of Mathematics, Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, MalaysiaFollow

Author Country (or Countries)

Malaysia

Abstract

Steady thermosolutocapillary instabilities in a horizontal thin fluid layer with deformable free surface and uniform temperature at the bottom boundary in the presence of insoluble surfactant and gravity force are examined. The surface tension at the free surface is assumed to be linearly dependent on temperature and concentration gradients. The linear stability theory and the Galerkin method are used to obtain the closed form solutions. The effects of the controlling parameters, namely the Rayleigh number, Biot number, Lewis number, and elasticity parameter on the onset of Marangoni convection are analyzed. The results show that the gravitational force acts as destabilizer while the presence of surfactant delays the onset of convection.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110111

Recommended Citation

Allias, Razihan; Agos Salim Nasir, Mohd; and Awang Kechil, Seripah (2017) "Steady Thermosolutocapillary Instability in Fluid Layer with Nondeformable Free Surface in the Presence of Insoluble Surfactant and Gravity," Applied Mathematics & Information Sciences: Vol. 11: Iss. 1, Article 11.
DOI: http://dx.doi.org/10.18576/amis/110111
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss1/11