The objective of this paper is to determine the likelihood of an algae bloom in a particular lake located in upstate New York. The growth of algae in this lake is caused by a high concentration of phosphorous that diffuses to the surface of the lake. Our calculations, based on Fick's Law, are used to create a mathematical model of the driving force of diffusion for phosphorous. Empirical observations are also used to predict whether the concentration of phosphorous will diffuse to the surface of this lake within a specified time and under specified conditions.
"Algae Bloom in a Lake,"
Undergraduate Journal of Mathematical Modeling: One + Two:
1, Article 3.
DOI: http://dx.doi.org/10.5038/2326-3618.104.22.168 Available at: https://digitalcommons.usf.edu/ujmm/vol1/iss1/3
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Arcadii Grinshpan, Mathematics and Statistics
Scott Campbell, Chemical & Biomedical Engineering
Problem Suggested By:
Scott Campbell, Based on a case study in Environmental Chemodynamics by Louis J. Thibodeaux, Wiley-Interscience, 2nd ed., 1996.