Mixed Transonic Flow over a Wavy Wall with Embedded Shock Waves

Abstract

Transonic potential flow over an infinitely-long plane wall corrugated in the form of a streamwise sinusoidal wave has been solved using Murman's finite difference scheme based on small perturbation theory. The range of a transonic similarity parameter, K, is determined in which a subsonic/supersonic mixed flow exist. The structure of the mixed flow is studied in detail for various supercritical free stream Mach numbers. By investigating the transitional transonic drag-rising phenomenon it is found that wave drag is negligibly small in the supercritical parameter range 5.7 ≤ K ≤ 7.02, due to the near-symmetry of locally supersonic flow about the crest of the wavy wall.