An axially symmetric problem in the theory of elasticity in spherical coordinates

1972 ◽  
Vol 8 (7) ◽  
pp. 779-782 ◽  
Author(s):  
A. V. Alipov ◽  
A. N. Frolov
Keyword(s):  
Theory Of Elasticity ◽  
Spherical Coordinates ◽  
Symmetric Problem ◽  
Axially Symmetric

Lamb's inverse axially symmetric problem

1996 ◽  
Vol 79 (4) ◽  
pp. 1191-1202
Author(s):  
A. S. Blagoveshchenskii
Keyword(s):  
Symmetric Problem ◽  
Axially Symmetric

Nystrom method for the Muller boundary integral equations on a dielectric body of revolution: axially symmetric problem

2015 ◽  
Vol 9 (11) ◽  
pp. 1186-1192 ◽  
Author(s):  
Vitaliy S. Bulygin ◽  
Yuriy V. Gandel ◽  
Ana Vukovic ◽  
Trevor M. Benson ◽  
Phillip Sewell ◽  
...  
Keyword(s):  
Integral Equations ◽  
Boundary Integral Equations ◽  
Boundary Integral ◽  
Body Of Revolution ◽  
Symmetric Problem ◽  
Axially Symmetric ◽  
Dielectric Body ◽  
Nyström Method ◽  
Nystrom Method

On the Modelling of a Synthetic Jet as a Spherical Jet

2007 ◽  
Author(s):  
Gopi Krishnan ◽  
Kamran Mohseni
Keyword(s):  
Flow Field ◽  
Analytical Model ◽  
Spreading Rate ◽  
Synthetic Jet ◽  
Turbulent Jet ◽  
Spherical Coordinates ◽  
Constant Mass ◽  
Axially Symmetric ◽  
Hot Wire ◽  
Self Similar

The properties of a flow field of a synthetic jet are studied using hot wire anemometry. The experimental results are compared with an analytical model of a continuous jet derived in spherical coordinates. The radial velocity profiles at various radial distances from the synthetic jet orifice, when scaled appropriately collapse into a single self similar profile. The time averaged flow field can be modeled as an axially symmetric jet, with the replacement of empirical constants obtained from the measurement of the synthetic jet. It is shown that the synthetic jet has a higher spreading rate, and effective viscosity than that of an equivalent turbulent jet with constant mass flow rate. The analytical model in spherical coordinates is shown in this case, to better represent the experimental data than a model derived in cylindrical coordinates.

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