Journal
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
Volume 38, Issue 6, Pages 779-796Publisher
SHANGHAI UNIV
DOI: 10.1007/s10483-017-2202-8
Keywords
natural convection; boundary layer; energy method; transient growth
Categories
Funding
- National Natural Science Foundation of China [11225209, 11490553, 11521091]
Ask authors/readers for more resources
The relationship between stabilities of the buoyancy boundary layers along an inclined plate and a vertical plate immersed in a stratified medium is studied theoretically and numerically. The eigenvalue problem of energy stability is solved with the method of descending exponentials. The disturbance energy is found to be able to grow to 11.62 times as large as the initial disturbance energy for P (r) = 0.72 when the Grashof number is between the critical Grashof numbers of the energy stability and the linear stability. We prove that, with a weighted energy method, the basic flow of the vertical buoyancy boundary layer is stable to finite-amplitude streamwise-independent disturbances.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available