On the spurious eigenvalues for a concentric sphere in BIEM

2010 ◽  
Vol 71 (3) ◽  
pp. 181-190 ◽  
Author(s):  
Jeng-Tzong Chen ◽  
Shing-Kai Kao ◽  
Ying-Te Lee ◽  
Yi-Jhou Lin
Keyword(s):  
Concentric Sphere ◽  
Spurious Eigenvalues

scholarly journals Flash-over Characteristics of Concentric Sphere Electrode by Switching Impulse Voltage

1972 ◽  
Vol 92 (11) ◽  
pp. 595-602
Author(s):  
N. SHIBA ◽  
I. MAEZONO ◽  
T. OSHIGE ◽  
N. MITA
Keyword(s):  
Concentric Sphere ◽  
Impulse Voltage

On the disturbed motion of a plane vortex sheet

1958 ◽  
Vol 4 (5) ◽  
pp. 538-552 ◽  
Author(s):  
John W. Miles
Keyword(s):  
Eigenvalue Problem ◽  
Asymptotic Approximation ◽  
Formal Solution ◽  
Vortex Sheet ◽  
Inviscid Fluid ◽  
Initial Value ◽  
Spatially Periodic ◽  
The Stability ◽  
Spurious Eigenvalues ◽  
Disturbed Motion

A formal solution to the initial value problem for a plane vortex sheet in an inviscid fluid is obtained by transform methods. The eigenvalue problem is investigated and the stability criterion determined. This criterion is found to be in agreement with that obtained previously by Landau (1944), Hatanaka (1949), and Pai (1954), all of whom had included spurious eigenvalues in their analyses. It is also established that supersonic disturbances may be unstable; related investigations in hydrodynamic stability have conjectured on this possibility, but the vortex sheet appears to afford the first definite example. Finally, an asymptotic approximation is developed for the displacement of a vortex sheet following a suddenly imposed, spatially periodic velocity.

Flow in the Entrance Region of a Concentric-Sphere Heat Exchanger

1970 ◽  
Vol 92 (1) ◽  
pp. 184-185 ◽  
Author(s):  
J. D. Bozeman ◽  
C. Dalton
Keyword(s):  
Heat Exchanger ◽  
Entrance Region ◽  
Concentric Sphere
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