Momentum and Velocity Autocorrelation Functions of a Diatomic Molecule Are Not Necessarily Proportional to Each Other†

2008 ◽  
Vol 112 (2) ◽  
pp. 213-218 ◽  
Author(s):  
Jeremy M. Moix ◽  
Rigoberto Hernandez ◽  
Eli Pollak
Keyword(s):  
Diatomic Molecule ◽  
Autocorrelation Functions ◽  
Velocity Autocorrelation ◽  
Velocity Autocorrelation Functions

TURBULENT DIFFUSION IN TWO AND THREE DIMENSIONS BY THE RANDOM-WALK MODEL WITH MEMORY

1961 ◽  
Vol 39 (1) ◽  
pp. 133-140 ◽  
Author(s):  
R. C. Bourret
Keyword(s):  
Random Walk ◽  
Lattice Model ◽  
Turbulent Diffusion ◽  
Telegraph Equation ◽  
Three Dimensions ◽  
Autocorrelation Functions ◽  
Fine Grained ◽  
Velocity Autocorrelation ◽  
With Memory ◽  
Velocity Autocorrelation Functions

A lattice model used for the derivation of the telegraph equation for diffusion is extended to two and three dimensions. Appropriate generalizations of the telegraph equation are obtained. These equations give a fine-grained chronological description of diffusion. From these equations, the velocity autocorrelation functions of the diffusing particles are obtained.

EXPERIMENTAL INVESTIGATION OF VELOCITY AUTOCORRELATION FUNCTIONS IN TURBULENT PLANAR MIXING LAYER

2010 ◽  
Vol 24 (13) ◽  
pp. 1361-1364
Author(s):  
KEH-CHIN CHANG ◽  
CHIUAN-TING LI ◽  
HSUAN-JUNG CHEN
Keyword(s):  
Shear Layer ◽  
Free Stream ◽  
Mixing Layer ◽  
Autocorrelation Functions ◽  
Measured Velocity ◽  
Proper Form ◽  
Velocity Autocorrelation ◽  
Shear Turbulence ◽  
The Time Domain ◽  
Velocity Autocorrelation Functions

The velocity autocorrelation coefficient correlates the velocity in the time domain but at the same spatial position. Turbulent planar mixing layer consists of two types of turbulence, that is, shear turbulence in the central shear layer and nearly homogeneous turbulence in both the high- and low-speed free stream sides. It is interesting to know what kind of function forms can be used to represent faithfully the experimental observations of the velocity autocorrelation coefficients in the mixing layer. Various velocity autocorrelation functions are tested with the measured data. It is found that the Frenkiel function family is the most proper form to represent the measured velocity autocorrelation coefficients in both the shear layer and free stream regimes.

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