Weakly Nonlinear Model for Stability Analysis of Non-Isothermal Convective Flows

AIP Conference Proceedings. Vol.3315: International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2023) 2025
Nataļja Budkina, Andrejs Koliškins

The amplitude evolution equation for the most unstable mode from the linear stability theory is derived in the paper using the method of multiple scales. The governing equations are the Navier-Stokes equations under the Boussinesq approximation. The weakly nonlinear expansion of the stream function and temperature is constructed in a small neighborhood of the critical point. The coefficients of the equation are obtained in closed form in terms of integrals containing the solutions at previous orders in the small parameter.

Atslēgas vārdi
Linear stability analysis, Asymptotic analysis, Navier Stokes equations, Boussinesq approximation
DOI
10.1063/5.0286021
Hipersaite
https://pubs.aip.org/aip/acp/article-abstract/3315/1/030004/3363014/Weakly-nonlinear-model-for-stability-analysis-of?redirectedFrom=fulltext

Budkina, N., Koliškins, A. Weakly Nonlinear Model for Stability Analysis of Non-Isothermal Convective Flows. In: AIP Conference Proceedings. Vol.3315: International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2023), Greece, Heraklion, 11-17 September, 2023. Melville: AIP Publishing, 2025, Article number 030004. ISBN 978-073545245-9. ISSN 0094-243X. e-ISSN 1551-7616. Available from: doi:10.1063/5.0286021

Publikācijas valoda
English (en)