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Theoretical Investigations of Boundary Layer Stability.

AD809388

Publication Date	1966
Personal Author	Brown, W. B.; Raltz, G. S.
Page Count	126
Abstract	The mathematical analysis underlying a Fortran program for calculating the proper solutions of the Orr-Sommerfeld system with sufficient accuracy and economy for applying the resonance theory of transition is described. This program covers spacewise growths, rather than timewise growths as in previous computations, of mainly two-dimensional Fourier components of the motion. It employs various innovations providing as much accuracy from efficient single-precision arithmetic as would be obtained from awkward multiple-precision arithmetic in previous calculation schemes. The source programs and some sample calculations, for the proncipal mode of oscillation of the Blasius boundary layer, are included. The Lees-Lin stability equation for compressible flow have been extended to include the terms involving the component of the mean boundary layer flow perpendicular to the flat plate. At Mach 5 this more than doubled the critical Reynolds number. Allowance was then made for the three-dimensional aspect of the disturbance velocity. The final result was to give good agreement with observed data in the lower branch of the neutral stability curve at Mach 2.2 and Mach 5, fair agreement with the upper branch at Mach 2.2 and large discrepancies with the data in the upper branch at Mach 5. Comparison of experimental determined neutral stability curves with those computed by simplified approximations have disagreed considerably at high Mach numbers on the upper branch, even when agreement was fairly good on the lower branch.
Keywords	Boundary layer Stability Theory Laminar boundary layer Boundary layer transition Computer programs Mathematical analysis Compressible flow Two dimensional flow Incompressible flow Resonance Motion Flat plate models Experimental data Hypersonic flow Supersonic flow Reynolds number Fortran
Source Agency	Non Paid Delimited ADS
NTIS Subject Category	46B - Fluid Mechanics
Corporate Authors	Northrop Corp Hawthorne Calif Norair Div
Document Type	Technical Report
Title Note	Final rept. Jul 63-Aug 64.
NTIS Issue Number	198009
Contract Number	AF 33(657)-11618

Theoretical Investigations of Boundary Layer Stability.

Theoretical Investigations of Boundary Layer Stability.
AD809388

Publication Date	1966
Personal Author	Brown, W. B.; Raltz, G. S.
Page Count	126
Abstract	The mathematical analysis underlying a Fortran program for calculating the proper solutions of the Orr-Sommerfeld system with sufficient accuracy and economy for applying the resonance theory of transition is described. This program covers spacewise growths, rather than timewise growths as in previous computations, of mainly two-dimensional Fourier components of the motion. It employs various innovations providing as much accuracy from efficient single-precision arithmetic as would be obtained from awkward multiple-precision arithmetic in previous calculation schemes. The source programs and some sample calculations, for the proncipal mode of oscillation of the Blasius boundary layer, are included. The Lees-Lin stability equation for compressible flow have been extended to include the terms involving the component of the mean boundary layer flow perpendicular to the flat plate. At Mach 5 this more than doubled the critical Reynolds number. Allowance was then made for the three-dimensional aspect of the disturbance velocity. The final result was to give good agreement with observed data in the lower branch of the neutral stability curve at Mach 2.2 and Mach 5, fair agreement with the upper branch at Mach 2.2 and large discrepancies with the data in the upper branch at Mach 5. Comparison of experimental determined neutral stability curves with those computed by simplified approximations have disagreed considerably at high Mach numbers on the upper branch, even when agreement was fairly good on the lower branch.
Keywords	Boundary layer Stability Theory Laminar boundary layer Boundary layer transition Computer programs Mathematical analysis Compressible flow Two dimensional flow Incompressible flow Resonance Motion Flat plate models Experimental data Hypersonic flow Supersonic flow Reynolds number Fortran
Source Agency	Non Paid Delimited ADS
NTIS Subject Category	46B - Fluid Mechanics
Corporate Authors	Northrop Corp Hawthorne Calif Norair Div
Document Type	Technical Report
Title Note	Final rept. Jul 63-Aug 64.
NTIS Issue Number	198009
Contract Number	AF 33(657)-11618