A NONLINEAR INVESTIGATION OF THE STATIONARY MODES OF INSTABILITY OF THE 3-DIMENSIONAL COMPRESSIBLE BOUNDARY-LAYER DUE TO A ROTATING-DISK

作     者：SEDDOUGUI, SO 

作者机构：Institute of Computer Applications in Science and Engineering NASA Langley Research Center Hampton Virginia 23665 USA 

出 版 物：《QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS》 (力学和应用数学季刊)

年 卷 期：1990年第43卷第4期

页      面：467-497页

核心收录：

学科分类：08[工学] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Institute of Computer Applications in Science and Engineering NASA Langley Research Center, Hampton, Virginia, (23665) National Aeronautics and Space Administration, NASA, (NAS1-18605) 

主　　题：Wave number wall Three Dimensions Shear stress Compressibility Mach number Tea Rotating disks boundary layer 

摘      要：This work investigates the effects of compressibility on a stationary mode of instability of the three-dimensional boundarylayer due to a rotating disc. The aim is to determine whether this mode will be important in the finite-amplitude destabilizationof the boundary layer. This stationary mode is characterized by the effective velocity profile having zero shear stress atthe wall. Triple-deck solutions are presented for an adiabatic wall and an isothermal wall. It is found that this stationarymode is only possible over a finite range of Mach numbers. Asymptotic solutions are obtained which describe the structureof the wave number and the orientation of these modes as functions of the local Mach number. The effects of nonlinearity areinvestigated allowing the finite-amplitude growth of a disturbance close to the neutral location to be described. The resultsare compared with the incompressible results of Hall (1) and MacKerrell (2).