Phenomena in unsteady rotating flows for a finite cylindrical geometry

1973 ◽  
Vol 16 (12) ◽  
pp. 2355
Author(s):  
G. de R. Innes
Keyword(s):  
Cylindrical Geometry ◽  
Rotating Flows

Ion-Ion Beam Instability in a Cylindrical Geometry

1974 ◽  
Vol 33 (13) ◽  
pp. 754-757 ◽  
Author(s):  
Noah Hershkowitz ◽  
Thomas Romesser ◽  
Georg Knorr ◽  
Christoph K. Goertz
Keyword(s):  
Ion Beam ◽  
Cylindrical Geometry ◽  
Beam Instability

Non-modal analysis of the diocotron instability: Cylindrical geometry

2013 ◽  
Vol 20 (4) ◽  
pp. 042101 ◽  
Author(s):  
V. V. Mikhailenko ◽  
Hae June Lee ◽  
V. S. Mikhailenko ◽  
N. A. Azarenkov
Keyword(s):  
Modal Analysis ◽  
Cylindrical Geometry ◽  
Diocotron Instability

Heat-flow experiments in liquid 4He with a variable cylindrical geometry

1987 ◽  
Vol 174 ◽  
pp. 209-231 ◽  
Author(s):  
H. Gao ◽  
G. Metcalfe ◽  
T. Jung ◽  
R. P. Behringer
Keyword(s):  
Cylindrical Geometry ◽  
Small Scale ◽  
Onset Of Convection ◽  
Aspect Ratios ◽  
A Value ◽  
Prandtl Numbers ◽  
Convection Rolls ◽  
Flow Experiments ◽  
Increasing Function ◽  
Good Agreement

This paper first describes an apparatus for measuring the Nusselt number N versus the Rayleigh number R of convecting normal liquid 4He layers. The most important feature of the apparatus is its ability to provide layers of different heights d, and hence different aspect ratios [Gcy ]. The horizontal cross-section of each layer is circular, and [Gcy ] is defined by [Gcy ] = D/2d where D is the diameter of the layer. We report results for 2.4 [les ] [Gcy ] [les ] 16 and for Prandtl numbers Pr spanning 0.5 [lsim ] Pr [lsim ] 0.9 These results are presented in terms of the slope N1 = RcdN/dR evaluated just above the onset of convection at Rc. We find that N1 is only a slowly increasing function of [Gcy ] in the range 6 [lsim ] [Gcy ] [lsim ] 16, and that it has a value there which is quite close to 0.72. This value of N1 is in good agreement with variational calcuations by Ahlers et al. (1981) pertinent to parallel convection rolls in cylindrical geometry. Particularly for [Gcy ] [lsim ] 6, we find additional small-scale structure in N1 associated with changes in the number of convection rolls with changing [Gcy ]. An additional test of the linearzied hydrodynamics is given by measurements of Rc. We find good agreement between theory and our data for Rc.

Improved nodal expansion method for solving neutron diffusion equation in cylindrical geometry

2010 ◽  
Vol 240 (8) ◽  
pp. 1997-2004 ◽  
Author(s):  
Dengying Wang ◽  
Fu Li ◽  
Jiong Guo ◽  
Jinfeng Wei ◽  
Jingyu Zhang ◽  
...  
Keyword(s):  
Diffusion Equation ◽  
Expansion Method ◽  
Cylindrical Geometry ◽  
Neutron Diffusion ◽  
Nodal Expansion Method ◽  
Neutron Diffusion Equation
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