Stability of advective flow in an inclined plane fluid layer bounded by solid planes with a longitudinal temperature gradient. 1. Unstable stratification
- Authors: Sagitov R.V.1, Sharifulin A.N.2
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Affiliations:
- Perm State National Research University
- Perm National Research Polytechnic University
- Issue: Vol 58, No 2 (2017)
- Pages: 264-270
- Section: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/160726
- DOI: https://doi.org/10.1134/S0021894417020092
- ID: 160726
Cite item
Abstract
The stability of steady convective flow in an inclined plane fluid layer bounded by ideally heat conducting solid planes is studied in the presence of a homogeneous longitudinal temperature gradient under unstable stratification conditions where the layer is inclined so that the temperature is higher in the lower part than in the upper part. It is shown that the inclination leads to the transition from critical perturbations to long-wavelength helical perturbations. Flow stability maps are given for the entire range of Prandtl numbers and inclination angles corresponding to unstable stratification.
About the authors
R. V. Sagitov
Perm State National Research University
Author for correspondence.
Email: sagitovrv@mail.ru
Russian Federation, Perm, 614990
A. N. Sharifulin
Perm National Research Polytechnic University
Email: sagitovrv@mail.ru
Russian Federation, Perm, 614990