Author:
Huppert Herbert E.,Miles John W.
Abstract
The stratified shear flow over a two-dimensional obstacle of semi-elliptical crosssection is considered. The shear flow is assumed to be inviscid with constant upstream values of the density gradient and dynamic pressure (Long's model). Two complete sets of lee-wave functions, each of which satisfies the condition of no upstream reflexion, are determined in elliptic co-ordinates for ε ≤ 1 and ε ≥ 1, where ε is the ratio of height to half-width of the obstacle. These functions are used to determine the lee-wave field produced by, and the consequent drag on, a semi-elliptical obstacle as functions of ε and the reduced frequency (reciprocal Froude number) within the range of stable flow. The reduced frequency at which static instability first occurs is calculated as a function of ε.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference10 articles.
1. Miles, J. W. 1968b Lee waves in a stratified flow. Part 2. Semi-circular obstacle J. Fluid Mech. 33,803–14.
2. Blanch, G. 1959 Math. Tables and other aids to Computation (now, Math. of Computations),13,131–3.
3. Lyra, G. 1943 Theorie der stationären Leewellenströmung in freier Atmosphäre Z. Angew. Math. Mech. 23,1–28.
4. Miles, J. W. & Huppert, H. E. 1969 Lee waves in a stratified flow. Part 4. Perturbation approximations J. Fluid Mech. 35,497.
5. Merbt, H. 1959 Solution of the two-dimensional lee-wave equation for arbitrary mountain profiles, and some remarks on the horizontal wind component in mountain flow Beitr. Phys. Atmos. 31,152–61.
Cited by
81 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献