Theoretical Investigations and Numerical Evaluations of Wall Effects in Cavity Flows

1975 ◽  
Vol 97 (4) ◽  
pp. 482-491
Author(s):  
S. Popp
Keyword(s):  
Exact Solution ◽  
Infinite Series ◽  
Cavity Flows ◽  
Two Dimensional ◽  
Cavitating Flows ◽  
Wall Effects ◽  
Numerical Computations ◽  
Hodograph Method ◽  
Shaped Body ◽  
Theoretical Investigations

The wall effects for fully and partially cavitating flows are investigated for both compressible and incompressible two-dimensional jets. The exact solution for Roshko’s model in a channel with a wedge shaped body is obtained and some particular models are studied. The hodograph method as developed by S. V. Falkovitch [19] is used and the solutions are given as infinite series of Chaplygin’s functions. The exact expressions of the drag coefficients for the aforementioned configurations are also given. Numerical computations are carried out for wedges of all angles. Tables and diagrams are included.

On Wall Effects in Cavity Flows

1984 ◽  
Vol 28 (01) ◽  
pp. 70-75
Author(s):  
C. C. Hsu
Keyword(s):  
Numerical Results ◽  
Cavity Flows ◽  
Two Dimensional ◽  
Wall Effects ◽  
Free Jet ◽  
Theoretical Predictions ◽  
Experimental Findings ◽  
Good Agreement

Simple wall correction rules for two-dimensional and nearly two-dimensional cavity flows in closed or free jet water tunnels, based on existing linearized analyses, are made. Numerical results calculated from these expressions are compared with existing experimental findings. The present theoretical predictions are, in general, in good agreement with data.

Radiation of sound from an unflanged rigid cylindrical duct with an acoustically absorbing internal surface

1978 ◽  
Vol 361 (1704) ◽  
pp. 65-91 ◽  
Keyword(s):  
Exact Solution ◽  
Infinite Series ◽  
Infinite System ◽  
Internal Surface ◽  
Simultaneous Equations ◽  
Graphical Form ◽  
Symmetric Mode ◽  
Numerical Computations ◽  
Infinite Set ◽  
Cylindrical Duct

A rigorous and exact solution is obtained for the problem of the radiation of sound from a semi-infinite unflanged rigid duct with an internal acoustically absorbent lining. The solution is obtained by a modification of the normal Wiener-Hopf technique. The solution is in terms of an infinite series of unknowns, which are determined from an infinite set of simultaneous equations. The infinite system converges rapidly enough to make the solution suitable for numerical computations. Some numerical results are given in graphical form for the propagation of the principal symmetric mode in the duct.

Exact solutions for flow of a perfect gas in a two-dimensional Laval nozzle

1950 ◽  
Vol 203 (1075) ◽  
pp. 551-571 ◽  
Keyword(s):  
Flow Field ◽  
Exact Solutions ◽  
Infinite Series ◽  
Laval Nozzle ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Perfect Gas ◽  
Hodograph Method ◽  
Sonic Point ◽  
Subsonic Part

A family of exact solutions is found for the problem of steady irrotational isentropic shockfree transsonic flow of a perfect gas through a Laval nozzle in two dimensions. The hodograph method is used, whereby the position co-ordinates x , y are expressed in terms of the velocity variables; the expressions are infinite series in the subsonic part of the flow field, infinite integrals (analytic continuations of the series) in the supersonic part. An inversion is required to get the velocity as a function of position; in general, this requires detailed numerical calculations, but approximate formulae (62) are found for the neighbourhood of the sonic point on the axis.

TEST-CASE NO 34: TWO-DIMENSIONAL SLOSHING IN CAVITY - AN EXACT SOLUTION (PA)

2004 ◽  
Vol 16 (1-3) ◽  
pp. 251-257
Author(s):  
J.-L. Estivalezes ◽  
G. Chanteperdrix
Keyword(s):  
Exact Solution ◽  
Test Case ◽  
Two Dimensional

scholarly journals Exact solution and invariant for fractional Cattaneo anomalous diffusion of cells in two-dimensional comb framework

2017 ◽  
Vol 89 (1) ◽  
pp. 213-224 ◽  
Author(s):  
Lin Liu ◽  
Liancun Zheng ◽  
Fawang Liu ◽  
Xinxin Zhang
Keyword(s):  
Exact Solution ◽  
Anomalous Diffusion ◽  
Two Dimensional
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