TECHNICAL PAPERS
Oct 1, 1991

Vertical Diffusion in Small Stratified Lake: Data and Error Analysis

Publication: Journal of Hydraulic Engineering
Volume 117, Issue 10

Abstract

Water temperature profiles were measured at 2‐min intervals in a stratified temperate lake with a surface area of 0.06km2 and a maximum depth of 10 m from May 7 to August 9, 1989. The data were used to calculate the vertical eddy diffusion coefficient Kz in the hypolimnion. The depth is representative of a large number of lakes in the north central United States. Kz was calculated over time intervals of 1 to 15 days and varied from 10-3 to 10-1cm2s-1. A numerical model was developed for heat conduction in the sediments, and heat flux between water and sediments was incorporated into the relationship from which eddy diffusivity was estimated. Heat flux between water and lake sediments, a term commonly neglected, was found to be important in the Kz estimation. Kz values were related to stratification stability as measured by the Brunt‐Vaisala frequency N using Welander's expression of the form Kz=a(N2)b Values of a were on the order of 10-4 and b varied from −0.36 to −0.45 when kz was given in cm2s-1 and N is in s-1. An error analysis was conducted and the effects of different choices of sampling intervals in time and depth on the eddy diffusivity estimates were evaluated. The longest time interval (15 days) and the smallest depth increment (1 m) used in this study were found to give the best Kz estimation.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 117Issue 10October 1991
Pages: 1352 - 1369

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Published online: Oct 1, 1991
Published in print: Oct 1991

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Authors

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Midhat Hondzo
Res. Asst., St. Anthony Falls Hydr. Lab., Univ. of Minnesota, Minneapolis, MN 55414
Christopher R. Ellis
Res. Fellow, St. Anthony Falls Hydr. Lab., Univ. of Minnesota, Minneapolis, MN
Heinz G. Stefan, Member, ASCE
Prof. and Assoc. Dir., St. Anthony Falls Hydr. Lab., Univ. of Minnesota, Minneapolis, MN

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