https://doi.org/10.1140/epjs/s11734-025-01960-x
Regular Article
Longwave thermosolutal instability in a moderately dense nanoparticle suspension
1
Department of Mathematics, Technion - Israel Institute of Technology, 3200003, Haifa, Israel
2
Department of Mechanical Engineering, Technion - Israel Institute of Technology, 3200003, Haifa, Israel
a
This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
24
August
2025
Accepted:
11
September
2025
Published online:
29
September
2025
Abstract
We carry out the long-wave analysis of the monotonic thermo-solutocapillary instability coupled with the Soret effect in a layer of a moderately dense nanofluid layer with the deformable interface exposed to the ambient gas phase in the gravity field. The results of the long-wave analysis are compared with those obtained from the fully numerical solution of the pertinent linear eigenvalue problem formulated for the problem at hand, and the agreement is found to be excellent.
The paper is dedicated to the memory of Professor Etienne Guyon.
© The Author(s) 2025
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
