Thermo-capillary effect on the linear temporal and spatial instability of viscous liquid jets falling under gravity

• Published in: Results in physics Vol. 8; pp. 709 - 715
• Main Authors: Alsharif, Abdullah M., Althubaiti, Shadiah A.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.03.2018; Elsevier
• Subjects: Gravity; Liquid jet; Spatial instability; Temporal instability; Temporal instability; Spatial instability; Liquid jet; Gravity
• ISSN: 2211-3797; 2211-3797
• DOI: 10.1016/j.rinp.2017.12.045

•The influence of gravity on the temporal and spatial instability of viscous jets has been examined.•We solved steady state solutions of thermo-capillary viscous jets falling under gravity using Newton's method.•It has been found that the gravitational force has effects on the liquid jets. The thermal modulation of Newtonian liquid jets at the orifice causes a variation in surface tension, which propagates downstream inducing Marangoni instability. Therefore, the linear temporal and spatial instability should be investigated to predict the same size of producing small spherical pellets. In this paper, we consider a viscous liquid jet emerging from a nozzle subject to thermo-capillary effects falling under gravity. Moreover, we use the asymptotic approach to reduce the governing equation into one-dimensional (1-D). The steady state solutions have been found using a modified Newton's method, and then the linear instability analysis has been investigated of the resulting set of equations.