Weakly Nonlinear Instability of a Convective Flow Caused by Internal Heat Generation

6th International Conference on Multi-scale Computational Methods for Solids and Fluids (ECCOMAS MSF 2023): Proceedings 2023
Nataļja Budkina, Andrejs Koliškins

The amplitude evolution equation for the most unstable mode is derived in the paper for a convective flow in a vertical channel caused by nonlinear heat sources. It is shown that the amplitude evolution equation is the complex Ginzburg-Landau equation.

Keywords
convective flows, weakly nonlinear instability, amplitude evolution equation

Budkina, N., Koliškins, A. Weakly Nonlinear Instability of a Convective Flow Caused by Internal Heat Generation. In: 6th International Conference on Multi-scale Computational Methods for Solids and Fluids (ECCOMAS MSF 2023): Proceedings, Bosnia and Herzegovina, Sarajevo, 25-27 June, 2023. Sarajevo: University of Sarajevo, 2023, pp.160-163. ISBN 978-9958-638-73-2.

Publication language
English (en)