The limiting-stage method in the dynamics of sorption processes. II. Longitudinal diffusion as the limiting stage

1980 ◽  
Vol 29 (8) ◽  
pp. 1196-1199
Author(s):  
E. V. Venitsianov
Keyword(s):  
Longitudinal Diffusion ◽  
Limiting Stage

Determination of Al0.25Ga0.75As longitudinal diffusion coefficient D(E) from H.F. noise measurements. Comparison with GaAs results

1993 ◽  
Author(s):  
M. de Murcia ◽  
D. Gasquet ◽  
E. Richard ◽  
P. Wolff ◽  
J. Zimmermann ◽  
...  
Keyword(s):  
Diffusion Coefficient ◽  
Longitudinal Diffusion ◽  
Noise Measurements

scholarly journals Joint reconstruction of white-matter pathways from longitudinal diffusion MRI data with anatomical priors

NeuroImage ◽  
2016 ◽  
Vol 127 ◽  
pp. 277-286 ◽  
Author(s):  
Anastasia Yendiki ◽  
Martin Reuter ◽  
Paul Wilkens ◽  
H. Diana Rosas ◽  
Bruce Fischl
Keyword(s):  
White Matter ◽  
Diffusion Mri ◽  
Longitudinal Diffusion ◽  
Joint Reconstruction ◽  
Anatomical Priors

The asymptotic stage of longitudinal turbulent dispersion within a tube

1977 ◽  
Vol 80 (2) ◽  
pp. 293-303 ◽  
Author(s):  
R. Dewey ◽  
Paul J. Sullivan
Keyword(s):  
Turbulent Flows ◽  
Friction Velocity ◽  
Turbulent Dispersion ◽  
Time Interval ◽  
Longitudinal Diffusion ◽  
A Value ◽  
Discharge Velocity ◽  
Concentration Curves ◽  
Temporal Growth Rate ◽  
Short Times

This paper describes an experimental investigation of the conditions for which the asymptotic description of longitudinal dispersion given by Taylor (1954) would apply. At non-dimensional times following the release of a dye pulse that are significantly larger than those previously investigated, the integrated concentration curves were observed to be skewed. At relatively short times from release the concentration curves appear to be well described by the models presented by Sullivan (1971) and by Chatwin (1973). Some features of the asymptotic behaviour, namely the translation of the modal value of the integrated concentration curve at the discharge velocity and the constant temporal growth rate of the variance, are observed at the longest times following release. On the basis of these observations it is estimated that a non-dimensional time interval oftu*/d=O(105/R*), whereR*=u*d/v,u*is the friction velocity,vthe kinematic viscosity anddthe tube diameter, is required for the Taylor result to become applicable. Thus application of Taylor's theory is significantly restricted in turbulent flows, especially those with irregular boundaries and those that are not stationary. There the variations in the flow must be small with respect to an equivalent ‘development time’ if a value of the ‘local’ longitudinal diffusion coefficient is to have meaning.

Regional Cerebral Disease Progression in Friedreich's Ataxia: A Longitudinal Diffusion Tensor Imaging Study

2015 ◽  
Vol 26 (2) ◽  
pp. 197-200 ◽  
Author(s):  
Mario Mascalchi ◽  
Nicola Toschi ◽  
Marco Giannelli ◽  
Andrea Ginestroni ◽  
Riccardo Della Nave ◽  
...  
Keyword(s):  
Diffusion Tensor Imaging ◽  
Disease Progression ◽  
Diffusion Tensor ◽  
Imaging Study ◽  
Friedreich’S Ataxia ◽  
Friedreich's Ataxia ◽  
Longitudinal Diffusion ◽  
Cerebral Disease ◽  
Diffusion Tensor Imaging Study
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