EIGEN-FUNCTIONS OF LINEARIZED UNSTEADY BOUNDARY-LAYER EQUATIONS

被引：13

作者：

LAM, SH ^{[1
]}

ROTT, N ^{[1
]}

机构：

[1] STANFORD UNIV,DEPT AERONAUT & ASTRONAUT,STANFORD,CA 94305

来源：

JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME | 1993年 / 115卷 / 04期

关键词：

D O I：

10.1115/1.2910185

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The Lam and Rott theory of linearized unsteady boundary layers is revisited, and some new results are obtained. The exact outer eigen-solution for a flat plate found in the original paper is shown to be a special case of the Prandtl-Glauert transposition theorem. The streamwise coordinate-dependent factor of the inner eigen-solutions, first found by M. E. Goldstein for the flat plate, is generalized for arbitrary pressure gradients.

引用

页码：597 / 602

页数：6

共 24 条

[1] UNSTEADY LAMINAR BOUNDARY-LAYER ON A SEMI-INFINITE FLAT PLATE DUE TO SMALL FLUCTUATIONS IN MAGNITUDE OF FREE-STREAM VELOCITY [J].

ACKERBERG, RC ;

PHILLIPS, JH .

JOURNAL OF FLUID MECHANICS, 1972, 51 (JAN11) :137-+

[2]

[Anonymous], 1932, NATURE, V130, P188, DOI [10.1038/130188b0, DOI 10.1038/130188B0]

[3]

BROWN SN, 1974, P CAMBRIDGE PHILOS S, V73, P505

[4]

Cole J. D., 1968, PERTURBATION METHODS

[5] THE LAMINAR BOUNDARY LAYER ON OSCILLATING PLATES AND CYLINDERS [J].

GLAUERT, MB .

JOURNAL OF FLUID MECHANICS, 1956, 1 (01) :97-110

[6] A BOUNDARY LAYER THEOREM, WITH APPLICATIONS TO ROTATING CYLINDERS [J].

GLAUERT, MB .

JOURNAL OF FLUID MECHANICS, 1957, 2 (01) :89-99

[7] THE EVOLUTION OF TOLLMIEN-SCHLICHTING WAVES NEAR A LEADING-EDGE .2. NUMERICAL DETERMINATION OF AMPLITUDES [J].

GOLDSTEIN, ME ;

SOCKOL, PM ;

SANZ, J .

JOURNAL OF FLUID MECHANICS, 1983, 129 (APR) :443-453

[8] THE EVOLUTION OF TOLLMIEN-SCHLICHTING WAVES NEAR A LEADING-EDGE [J].

GOLDSTEIN, ME .

JOURNAL OF FLUID MECHANICS, 1983, 127 (FEB) :59-81

[9] BOUNDARY-LAYER RECEPTIVITY TO LONG-WAVE FREE-STREAM DISTURBANCES [J].

GOLDSTEIN, ME ;

HULTGREN, LS .

ANNUAL REVIEW OF FLUID MECHANICS, 1989, 21 :137-166

[10]

HAMMERTON PJ, 1991, ICASE NASA LARC SERI, P441

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