A Hybrid Marching Integration Procedure for the Prediction of Two-Dimensional Supersonic Boundary Layers

1977 ◽  
Vol 99 (1) ◽  
pp. 205-212 ◽  
Author(s):  
R. I. Issa ◽  
F. C. Lockwood
Keyword(s):  
Boundary Layer ◽  
Method Of Characteristics ◽  
Wave Interaction ◽  
Computational Procedure ◽  
Analytic Solutions ◽  
Pressure Waves ◽  
Two Dimensional ◽  
Inviscid Flows ◽  
Hyperbolic Component ◽  
Wall Flows

An economical, “parabolic/hyperbolic hybrid,” numerical prediction procedure, employing marching integration, is presented for the computation of supersonic flows of the boundary layer class in which embedded pressure waves are present. The hyperbolic component is based on the method of characteristics, while the computational procedure of Patankar and Spalding constitutes the parabolic component. The method is evaluated against analytic solutions for inviscid flows and against experiment for laminar and turbulent near-wall flows. Calculations for laminar and turbulent free shear flows are also presented. The method performs well when the viscous/wave interaction is not strong enough to induce significant “upstream influence.”

Boundary Layer Closure and Heat Transfer in Constant Base Pressure and Simple Wave Guns

1978 ◽  
Vol 100 (4) ◽  
pp. 690-696 ◽  
Author(s):  
A. D. Anderson ◽  
T. J. Dahm
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Layer Thickness ◽  
Boundary Layer Thickness ◽  
Method Of Characteristics ◽  
Simple Wave ◽  
Momentum Equation ◽  
Base Pressure ◽  
Two Dimensional ◽  
The Method Of Characteristics

Solutions of the two-dimensional, unsteady integral momentum equation are obtained via the method of characteristics for two limiting modes of light gas launcher operation, the “constant base pressure gun” and the “simple wave gun”. Example predictions of boundary layer thickness and heat transfer are presented for a particular 1 in. hydrogen gun operated in each of these modes. Results for the constant base pressure gun are also presented in an approximate, more general form.

scholarly journals NUMERICAL ANALYSIS OF TWO-DIMENSIONAL PROBLEM OF SUPERSONIC SHOCK WAVE INTERACTION WITH A BOUNDARY LAYER

2015 ◽  
Vol 0 (12) ◽  
pp. 48
Author(s):  
Анатолій Юрійович Педченко ◽  
Євген Миколайович Панов ◽  
Антон Янович Карвацький ◽  
Сергій Володимирович Лелека ◽  
Тарас Валерійович Лазарєв
Keyword(s):  
Boundary Layer ◽  
Shock Wave ◽  
Numerical Analysis ◽  
Wave Interaction ◽  
Two Dimensional ◽  
Dimensional Problem ◽  
Shock Wave Interaction ◽  
Supersonic Shock

Calculation of unsteady two-dimensional laminar and turbulent boundary layers with fluctuations in external velocity

1977 ◽  
Vol 355 (1681) ◽  
pp. 225-238 ◽  
Keyword(s):  
Boundary Layer ◽  
Shear Stress ◽  
Boundary Layers ◽  
Turbulent Flows ◽  
Reynolds Shear Stress ◽  
Low Frequency ◽  
Analytic Solutions ◽  
Turbulent Boundary Layers ◽  
Two Dimensional ◽  
Boundary Layer Equations

A numerical method is presented for calculating unsteady two-dimensional laminar and turbulent boundary layers with fluctuations in external velocity. The method used an eddy-viscosity formulation to model the Reynolds shear stress term appropriate to turbulent flow and an efficient two-point finite-difference method to solve the governing boundary-layer equations. The method is used to calculate phase angles between the wall shear stress and an oscillating external laminar boundary layer over a flat plate. The results are in excellent agreement with the analytic solutions of Lighthill for the high- and low-frequency limits and provide information in the region between. Similar calculations for turbulent flows are compared with experimental data and the method shown to be more precise than previously described attempts to represent flows of this type. The agreement between calculations and measurements is imperfect but probably within the resolution of the experiments and adequate for engineering purposes.

The Departure from Equilibrium of Turbulent Boundary Layers

1968 ◽  
Vol 19 (1) ◽  
pp. 1-19 ◽  
Author(s):  
H. McDonald
Keyword(s):  
Boundary Layer ◽  
Shear Stress ◽  
Kinetic Energy ◽  
Stress Distribution ◽  
Boundary Layers ◽  
Turbulent Boundary Layers ◽  
Two Dimensional ◽  
Pressure Distributions ◽  
Momentum Integral ◽  
State Examination

SummaryRecently two authors, Nash and Goldberg, have suggested, intuitively, that the rate at which the shear stress distribution in an incompressible, two-dimensional, turbulent boundary layer would return to its equilibrium value is directly proportional to the extent of the departure from the equilibrium state. Examination of the behaviour of the integral properties of the boundary layer supports this hypothesis. In the present paper a relationship similar to the suggestion of Nash and Goldberg is derived from the local balance of the kinetic energy of the turbulence. Coupling this simple derived relationship to the boundary layer momentum and moment-of-momentum integral equations results in quite accurate predictions of the behaviour of non-equilibrium turbulent boundary layers in arbitrary adverse (given) pressure distributions.

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