Randomly accessible procedural animation of physically approximate turbulent motion

2003 ◽  
Author(s):  
Hui Fang ◽  
J.C. Hart
Keyword(s):  
Turbulent Motion ◽  
Procedural Animation

Procedural animation for glove puppet show

2011 ◽  
Vol 4 (2) ◽  
pp. 168 ◽  
Author(s):  
Chih Chung Lin ◽  
Tsai Yen Li ◽  
Gee Chin Hou
Keyword(s):  
Procedural Animation ◽  
Puppet Show

Recent Developments of the Theory of Turbulence

1937 ◽  
Vol 4 (3) ◽  
pp. A105-A108
Author(s):  
Hugh L. Dryden
Keyword(s):  
Turbulent Motion ◽  
New Approach ◽  
Recent Developments

Abstract A brief account is given of the principal concepts which have been utilized in the formulation of theories of the turbulent motion of fluids prior to 1935 and the new approach originated by G. I. Taylor in that year. A bibliography of 31 papers is included.

Experimental Determination of Statistical Properties of Two-Phase Turbulent Motion

1960 ◽  
Vol 82 (3) ◽  
pp. 609-621 ◽  
Author(s):  
S. L. Soo ◽  
H. K. Ihrig ◽  
A. F. El Kouh
Keyword(s):  
Gas Phase ◽  
Tracer Diffusion ◽  
Statistical Properties ◽  
Solid Particles ◽  
Turbulent Motion ◽  
Two Phase ◽  
Gaseous State ◽  
Diffusion Technique ◽  
And Diffusion

Experimental methods for the determination of certain statistical properties of turbulent conveyance and diffusion of solid particles in a gaseous state are presented. Methods include a tracer-diffusion technique for the determination of gas-phase turbulent motion and a photo-optical technique for the determination of motion of solid particles. Results are discussed and compared with previous analytical results.

Kolmogoroff's theory of locally isotropic turbulence

1947 ◽  
Vol 43 (4) ◽  
pp. 533-559 ◽  
Author(s):  
G. K. Batchelor
Keyword(s):  
Reynolds Number ◽  
Energy Dissipation ◽  
Isotropic Turbulence ◽  
Flow Characteristics ◽  
Turbulent Motion ◽  
Statistical Characteristics ◽  
Considerable Proportion ◽  
Arbitrary Field ◽  
Mean Flow ◽  
Local Mean

A new and fruitful theory of turbulent motion was published in 1941 by A. N. Kolmogoroff. It does not seem to be as widely known outside the U.S.S.R. as its importance warrants, and the present paper therefore describes the theory in some detail before presenting a number of extensions and making a comparison of experimental results with some of the theoretical predictions.Kolmogoroff's basic notion is that at high Reynolds number all kinds of turbulent motion, of arbitrary mean-flow characteristics, show a similar structure if attention is confined to the smallest eddies. The motion due to these eddies of limited size is conceived to be isotropic and statistically steady. Within this range of eddies we recognize two limiting processes. The influence of viscosity on the larger eddies of the range is negligible if the Reynolds number is large enough, so that their motion is determined entirely by the amount of energy which they are continually passing on to smaller eddies. This quantity of energy is the local mean energy dissipation due to turbulence. On the other hand, the smaller eddies of the range dissipate through the action of viscosity a considerable proportion of the energy which they receive, and the motion of the very smallest eddies is entirely laminar. The analytical expression of this physical picture is that the motion due to eddies less than a certain limiting size in an arbitrary field of turbulence is determined uniquely by two quantities, the viscosity and the local mean energy dissipation per unit mass of the fluid.The mathematical method of describing the motion due to eddies of a particular size is to construct correlations between the differences of parallel-velocity components at two points at an appropriate distance apart. Kinematical results analogous to those for turbulence which is isotropic in the ordinary sense are obtained, and then the scalar functions occurring in the expressions for the correlations are determined by dimensional analysis. The consequences of the theory in the case of turbulence which possesses ordinary isotropy are analysed and various predictions are made. One of these, namely that dimensionless ratios of moments of the probability distribution of the rate of extension of the fluid in any direction are universal constants, is confirmed by recent experiments, so far as the second and third moments are concerned. In several other cases it can be said that relations predicted by the theory have the correct form, but further experiments at Reynolds numbers higher than those hitherto used will be required before the theory can be regarded as fully confirmed. If valid, Kolmogoroff's theory of locally isotropic turbulence will provide a powerful tool for the analysis of problems of non-uniform turbulent flow, and for the determination of statistical characteristics of space and time derivatives of quantities influenced by the turbulence.

Sign in / Sign up

Export Citation Format

Share Document