Abstract
The stability of the flow induced by a linearly stretched, flat sheet with a temperature gradient between the sheet and the free stream is investigated via a complementary numerical and large Reynolds number lower-branch asymptotic analysis. This analysis involves the derivation of new basic flow solutions which extend the exact analytical solutions of Crane, by coupling the energy and momentum equations with a temperature-dependent viscosity. In the most extreme case considered, the Reynolds number at which instabilities are observed is approximately halved compared to the isothermal case, thereby justifying its consideration as a physically meaningful flow variable of interest with potential implications for industrial extrusion processes.
| Original language | English |
|---|---|
| Article number | 124135 |
| Number of pages | 11 |
| Journal | Physics of Fluids |
| Volume | 36 |
| Issue number | 12 |
| Early online date | 18 Dec 2024 |
| Publication status | Published - Dec 2024 |
Bibliographical note
Copyright © 2024 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
Funding
P.T.G. would like to acknowledge the generous support of the School of Mathematics and Statistics at The University of Sydney where part of this study was completed. S.S. would like to acknowledge the support from The Association of Commonwealth Universities (ACU) for funding a research visit that allowed the authors to collaborate on this project for an extended period of time.
| Funders | Funder number |
|---|---|
| Association of Commonwealth Universities |