Date of Award
Bachelor of Science (BS)
Mathematics and Statistics
College of Science
Prashant S. Sansgiry
The movement of salt through sea water is very dynamic and is the result of two different processes: advection and diffusion. Diffusion is the movement of salt from an area of high concentration to an area of lower concentration. Advection is the movement of the water in which the salt is contained, and is usually due to tides and currents in the ocean. The one-dimensional advection-diffusion equation is used to model the movement of salt in a column of sea water. Solutions were obtained using separation of variables and graphed under different situations. The solutions then made sense mathematically and physically, so the advection-diffusion equation was validated.
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Knowlen, Mathew, "Validity of the Advection-Diffusion Equation" (2005). Honors Theses. 231.