scholarly journals Experimental and numerical studies of supersonic flow over circular protuberances on a flat plate

2015 ◽  
Vol 64 (5) ◽  
pp. 054705
Author(s):  
Gang Dun-Dian ◽  
Yi Shi-He ◽  
Zhao Yun-Fei
2009 ◽  
Vol 129 (6) ◽  
pp. 831-839
Author(s):  
Keisuke Udagawa ◽  
Sadatake Tomioka ◽  
Hiroyuki Yamasaki

1995 ◽  
Vol 36 (6) ◽  
pp. 844-847
Author(s):  
V. I. Lysenko ◽  
N. V. Semenov
Keyword(s):  

Author(s):  
Kan Kobayashi ◽  
Rodney Bowersox ◽  
Ravichandra Srinivasan ◽  
Nathan Tichenor ◽  
Campbell Carter ◽  
...  

The boundary-layer equations for an incompressible fluid in motion past a flat plate are examined, numerically and analytically, in the special case when the pressure gradient vanishes and there is a uniform injection of fluid from the plate. In the numerical study the principal properties of the boundary layer are computed as far as separation ( x ═ x δ ≑ 0.7456) with a high degree of accuracy. In the analytic study the structure of the singularity at separation is determined. It is of a new kind in boundary layer theory and its elucidation requires the division of the boundary layer into three zones—an outer zone in which the non-dimensional velocity u is much larger than x * (the non-dimensional distance from separation), a central zone in which u ~ x * and an inner zone in which u ≪ x *. A match is effected between solutions in the central and inner zones from which it is inferred that the skin friction τ 0 ~ ( x * / In (1/ x *) 2 as x * → 0. A completely satisfactory agreement between the numerical and analytic studies was not possible. The reason is that the analytic study is only valid when ln ( 1 / x *) ≫ 1 which means that for the analytic and numerical studies to have a common region of validity, the numerical integration must be extended to much smaller values of x * than is possible at present. It was also not possible to effect a match between the central and outer zones in the analytic solution due to the difficulty of finding the properties of the stress τ in the central zone as u / x * →∞.


1968 ◽  
Vol 5 (1) ◽  
pp. 127-128 ◽  
Author(s):  
PAUL J. WALTRUP ◽  
DOUGLAS G. HALL ◽  
JOSEPH A. SCHETZ
Keyword(s):  

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