Document Type
Original Study
Subject Areas
Mathematics
Keywords
inclined plate; Benney equation; free interface; thin film; Van der Waals forces; normal modes
Abstract
The current eort discusses the instability of a thin layer of UCM liquid owing on an inclined substrate subject to an electromagnetic eld. The approximation of long waves was employed to obtain an evolution equation. The existence of moving solitary waves was illustrated under certain conditions of such a model. The stability could be enhanced by increasing the surface tension and Born repulsion or decreasing the positive intermolecular force and the inclination. The relaxation time, the Reynolds number, the electric eld, and the magnetic eld played irregular roles. The nonlinear approach provides more accurate results rather than the linear approach. The results show that stability can be controlled using external in uences instead of costly changes to the properties of the uid. These results could be employed to give the optimum conditions regarding the stability subject and control the growing disturbances. They did provide an admissible practical implementation for potential applications, and opened the way for true numerical simulation also.
How to Cite This Article
Assaf, Ahmed and Hafez, N. M.
(2026)
"Solitary waves on the free surface of a viscoelastic fluid above an oblique substrate subjected to electromagnetic and intermolecular forces,"
Trends in advanced sciences and technology: Vol. 3, Article 16.
DOI: 10.62537/2974-444X.1066
Available at:
https://tast.researchcommons.org/journal/vol3/iss1/16
