The effect of heating/ cooling on the upper-branch stability of boundary layer flows over a compliant boundary
Abstract
We investigate the evolution of Tollmien- Schlichting waves in boundary layers in the presence of moderate buoyancy arising from the heating or cooling of a compliant wall. We exploit the multi-deck structure of the flow in the limit of large Reynolds numbers to make an asymptotic analysis of the pertubed flow, along the upper-branch of the neutral stability curve, to derive linear neutral results. These results are discussed and are compared to rigid wall results. Also, a brief parametric study, based on the linear neutral results, is presented and the results are discussed.
Keywords
linear stability, heating and cooling, compliant surface,References
[1] P.W. Carpenter, J .S.B. Gajjar. A general theory for two and three dimensional wall-mode instabilities in boundary layers over isotropic and anisotropic compliant walls. Theoret. Comput. Fluid Dynamics, 1: 349- 378, 1990.[2] P.W. Carpenter, A.D. Garrad. The hydrodynamic stability of flow over Kramer type compliant surfaces. Part 1. Tollmien- Schlichting instabilities. J. Fluid Mech., 155: 465- 510, 1985.
[3] P.W. Carpenter, A.D. Garrad. The hydrodynamic stability of flow over Kramer type compliant surfaces. Part 2. Flow-induced surface instabilities. J. Fluid Mech., 170: 199- 232, 1986.
[4] P.W. Carpenter, P.J. Morris. Effect of anisotropic wall compliance on boundary layer stability and transition. J. Fluid Mech., 218: 171- 223, 1990.
[5] C. Davies, P.W. Carpenter. Instabilities in plane channel flow between compliant walls. J. Fluid Mech., 352: 201- 243, 1997.
Published
Feb 21, 2023
How to Cite
MOTSA, Sandile S.; SIBANDA, Precious; GAJJAR, Jitesh S.B..
The effect of heating/ cooling on the upper-branch stability of boundary layer flows over a compliant boundary.
Computer Assisted Methods in Engineering and Science, [S.l.], v. 9, n. 2, p. 163-181, feb. 2023.
ISSN 2956-5839.
Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/1127>. Date accessed: 14 nov. 2024.
Issue
Section
Articles
This work is licensed under a Creative Commons Attribution 4.0 International License.