2020/09/03 by Devanshu Shekhar, Shekhar, Devanshu, Satyananda Panda +1
Chemical Engineering · Chemistry · Engineering · Physics and Astronomy · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Fluid Dynamics and Thin Films #Rheology and Fluid Dynamics Studies #Surfactants and Colloidal Systems #physics.comp-ph
paper · pdf · doi:10.48550/arxiv.2009.01493
5 pages, 3 figures
arxiv created 2020/09/03 · openalex publication_date 2020/09/03 · arxiv updated 2020/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Spreading of liquid thin film driven by surfactant due to the Marangoni effect is described using a coupled system of second-order partial differential equations. Lie group of transformation are used to obtain the symmetries of the given system of partial differential equations. The symmetries are then used to arrive at a semi-analytic solution of the system. Furthermore, a vector field analysis of the obtained solution is performed to provide additional insights into the problem. The obtained results demonstrate that the surfactant concentration drives the fluid, and thereby the fluid thins faster.