Pressure Gradient Effects on Laminar Boundary Layers at Large Prandtl Numbers

AIAA Journal ◽  
1979 ◽  
Vol 17 (11) ◽  
pp. 1153-1154
Author(s):  
R. Gopinath ◽  
A. V. Murthy
Keyword(s):  
Pressure Gradient ◽  
Boundary Layers ◽  
Laminar Boundary Layers ◽  
Prandtl Numbers ◽  
Gradient Effects

Near-similarity approximation for compressible, laminar boundary layers on adiabatic walls

1997 ◽  
Vol 211 (5) ◽  
pp. 285-294 ◽  
Author(s):  
H P Horton
Keyword(s):  
Differential Equations ◽  
Boundary Layers ◽  
Constant Pressure ◽  
Boundary Layer Stability ◽  
Temperature Profiles ◽  
Two Dimensional ◽  
Careful Choice ◽  
Laminar Boundary Layers ◽  
Gradient Parameter ◽  
Prandtl Numbers

Two-dimensional, compressible, laminar boundary layers with zero heat transfer and a constant pressure gradient parameter are considered. Although it is well known that exact similarity is, in general, only possible when the Prandtl number is equal to unity, it is shown here that, at least for Prandtl numbers in the range from 0.5 to 2.0, a careful choice of transformation gives partial differential equations in which the streamwise derivatives are practically negligible, irrespective of Mach number. The set of ordinary differential equations which results from setting the streamwise derivatives to zero is proposed as a useful approximation for generating families of velocity and temperature profiles, for use in database methods for analysing boundary layer stability, for example.

Reynolds Number and Pressure Gradient Effects on Compressible Turbulent Boundary Layers

AIAA Journal ◽  
1978 ◽  
Vol 16 (12) ◽  
pp. 1217-1218 ◽  
Author(s):  
M. Acharya ◽  
M. I. Kussoy ◽  
C. C. Horstman
Keyword(s):  
Reynolds Number ◽  
Pressure Gradient ◽  
Boundary Layers ◽  
Turbulent Boundary Layers ◽  
Gradient Effects

Three-dimensional laminar boundary layers in crosswise pressure gradients

1974 ◽  
Vol 66 (4) ◽  
pp. 641-655 ◽  
Author(s):  
J. H. Horlock ◽  
A. K. Lewkowicz ◽  
J. Wordsworth
Keyword(s):  
Boundary Layer ◽  
Pressure Gradient ◽  
Boundary Layers ◽  
Free Stream ◽  
Three Dimensional ◽  
Cross Flow ◽  
Free Stream Velocity ◽  
Stream Velocity ◽  
Laminar Boundary Layers ◽  
The Cross

Two attempts were made to develop a three-dimensional laminar boundary layer in the flow over a flat plate in a curved duct, establishing a negligible streamwise pressure gradient and, at the same time, an appreciable crosswise pressure gradient.A first series of measurements was undertaken keeping the free-stream velocity at about 30 ft/s; the boundary layer was expected to be laminar, but appears to have been transitional. As was to be expected, the cross-flow in the boundary layer decreased gradually as the flow became progressively more turbulent.In a second experiment, at a lower free-stream velocity of approximately 10 ft/s, the boundary layer was laminar. Its streamwise profile resembled closely the Blasius form, but the cross-flow near the edge of the boundary layer appears to have exceeded that predicted theoretically. However, there was a substantial experimental scatter in the measurements of the yaw angle, which in laminar boundary layers is difficult to obtain accurately.

Thermal Instability of Forced Convection Boundary Layers

1984 ◽  
Vol 106 (2) ◽  
pp. 284-289 ◽  
Author(s):  
K. Chen ◽  
M. M. Chen
Keyword(s):  
Prandtl Number ◽  
Pressure Gradient ◽  
Forced Convection ◽  
Boundary Layers ◽  
Thermal Instability ◽  
Local Similarity ◽  
Reference Length ◽  
Convection Boundary ◽  
Streamwise Pressure Gradient ◽  
Prandtl Numbers

Thermal instability of forced convection boundary layers with nonzero streamwise pressure gradient is examined for moderate to high Prandtl numbers. The analysis is carried out for the family of Falkner-Skan flows, here viewed as the lowest order local similarity approximation of general forced convection boundary layers. Calculated critical Rayleigh numbers and wave numbers are found to be independent of the streamwise pressure gradient in the limiting case of infinite Prandtl number, and only weakly dependent on the streamwise pressure gradient for finite Prandtl number cases when the conduction thickness is employed as the reference length scale.

scholarly journals Adverse-Pressure-Gradient Effects on Turbulent Boundary Layers: Statistics and Flow-Field Organization

2017 ◽  
Vol 99 (3-4) ◽  
pp. 589-612 ◽  
Author(s):  
Carlos Sanmiguel Vila ◽  
Ramis Örlü ◽  
Ricardo Vinuesa ◽  
Philipp Schlatter ◽  
Andrea Ianiro ◽  
...  
Keyword(s):  
Flow Field ◽  
Pressure Gradient ◽  
Boundary Layers ◽  
Adverse Pressure Gradient ◽  
Turbulent Boundary Layers ◽  
Field Organization ◽  
Gradient Effects
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