Free Convection at Low Prandtl Numbers in Laminar Boundary Layers

1969 ◽  
Vol 8 (2) ◽  
pp. 329-332 ◽  
Author(s):  
D. A. Saville ◽  
S. W. Churchill
Keyword(s):  
Free Convection ◽  
Boundary Layers ◽  
Laminar Boundary Layers ◽  
Prandtl Numbers

FREE-CONVECTION LAMINAR BOUNDARY LAYERS IN OSCILLATORY FLOW

AIAA Journal ◽  
1963 ◽  
Vol 1 (4) ◽  
pp. 937-937 ◽  
Author(s):  
RATTAN SAGAR NANDA ◽  
VISHNOO PRASAD SHARMA
Keyword(s):  
Free Convection ◽  
Boundary Layers ◽  
Oscillatory Flow ◽  
Laminar Boundary Layers

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.

Free convection laminar boundary layers in oscillatory flow

1963 ◽  
Vol 15 (3) ◽  
pp. 419-428 ◽  
Author(s):  
R. S. Nanda ◽  
V. P. Sharma
Keyword(s):  
Free Convection ◽  
Surface Temperature ◽  
Flat Plate ◽  
Boundary Layers ◽  
High Frequency ◽  
Oscillatory Flow ◽  
Harmonic Oscillations ◽  
Laminar Boundary Layers ◽  
Temperature Boundary ◽  
Striking Contrast

The effect of harmonic oscillations in the magnitude of the surface temperature on the free-convection laminar velocity and temperature boundary layers on a flat plate is analysed. Low-and high-frequency solutions are developed separately. The results obtained are in striking contrast to the corresponding results for forced-convection flows.

Free Convection From a Vertical Flat Plate With Step Discontinuities in Surface Temperature

1967 ◽  
Vol 89 (3) ◽  
pp. 244-249 ◽  
Author(s):  
A. A. Hayday ◽  
D. A. Bowlus ◽  
R. A. McGraw
Keyword(s):  
Free Convection ◽  
Surface Temperature ◽  
Flat Plate ◽  
Boundary Layers ◽  
Theoretical Basis ◽  
Vertical Plate ◽  
Strongly Coupled ◽  
Laminar Boundary Layers ◽  
Coupled Equations ◽  
Vertical Flat Plate

The paper explores a numerical method for the solution of strongly coupled equations governing nonsimilar flows in laminar boundary layers. The analysis deals specifically with nonsimilar free convection from a vertical plate suspended in air, the nonsimilarity of the flow being generated by step discontinuities in surface temperatures. Results presented herein compare favorably with and form a theoretical basis for the experiments of Schetz and Eichhorn.

Laminar Free-Convection Wake Above a Heated Vertical Plate

1964 ◽  
Vol 31 (1) ◽  
pp. 131-138 ◽  
Author(s):  
Kwang-Tzu Yang
Keyword(s):  
Free Convection ◽  
Boundary Layers ◽  
Vertical Plate ◽  
Asymptotic Series ◽  
Integral Solution ◽  
Series Expansions ◽  
Temperature Profiles ◽  
Wake Region ◽  
Laminar Wake ◽  
Prandtl Numbers

The development of momentum and energy fields in the laminar-wake region above a heated finite vertical plate is studied analytically. Detailed velocity and temperature profiles in the immediate neighborhood of the trailing edge of the plate are calculated for two Prandtl numbers by means of asymptotic series expansions. These results are then continued to the rest of the wake region by an integral solution. It is found that the spreading of the boundary layers is rather gradual.

NEW IMAGINARY-VALUED SIMILARITY SOLUTIONS FOR LAMINAR BOUNDARY LAYERS WITH A SPRAY

2009 ◽  
Vol 19 (12) ◽  
pp. 1105-1111
Author(s):  
Ro'ee Z. Orland ◽  
David Katoshevski ◽  
D. M. Broday
Keyword(s):  
Boundary Layers ◽  
Similarity Solutions ◽  
Laminar Boundary Layers
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