Sullivan, Paul J. (1971) Some data on the distanceneighbour function for relative diffusion. Journal of Fluid Mechanics, 47 (3). pp. 601607. ISSN 00221120. http://resolver.caltech.edu/CaltechAUTHORS:SULjfm71

PDF
 Published Version
See Usage Policy. 1563Kb 
Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:SULjfm71
Abstract
Repeated observations of dye plumes on Lake Huron are interpreted according to the theoretical proposals of Richardson (1926) and Batchelor (1952) about the characteristics of a dispersing cloud of marked fluid within a field of homogeneous turbulence. The results show the average of several instantaneous concentration distributions about their centre of gravity to be approximately Gaussian and the distanceneighbour function to be of approximately Gaussian form. The data are consistent with the theoretical description given by Batchelor, namely, \[ q(y,t) = (2\pi\overline{y^2})^{\frac{1}{2}}\exp (y^2/2\overline{y^2}),\quad (\overline{y^2} = (\frac{2}{3}\alpha t)^3), \] where q(y, t) is the distanceneighbour function and α is the constant of the ‘4/3power law’. The average value of α is estimated to be 0·12 cm^(2/3) sec^−1. The rate of turbulent energy dissipation in the nearsurface currents of Lake Huron is estimated as ε ~2·1 × 10^−3 cm^2sec^−3.
Item Type:  Article  

Related URLs: 
 
Additional Information:  Copyright © 1971 Cambridge University Press. Reprinted with permission. (Received 3 October 1969 and in revised form 9 January 1971) The experimental program was carried out using the facilities of the Great Lakes Institute, University of Toronto, and received financial support by the Atomic Energy of Canada Limited and by the National Research Council of Canada through Grant A 1820. Recent analytical work has been supported by Grant 16070 DGY from the United States Federal Water Pollution Control Administration at the California Institute of Technology, Pasadena, California, U.S.A.  
Funders: 
 
Record Number:  CaltechAUTHORS:SULjfm71  
Persistent URL:  http://resolver.caltech.edu/CaltechAUTHORS:SULjfm71  
Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided.  
ID Code:  12169  
Collection:  CaltechAUTHORS  
Deposited By:  Archive Administrator  
Deposited On:  28 Oct 2008 00:03  
Last Modified:  26 Dec 2012 10:27 
Repository Staff Only: item control page