Keywords
Heat transmission, Mathematical models, Thermal pollution of rivers lakes
Abstract
A mathematical model is presented for the problem of determining the two-dimensional temperature distribution resulting from the discharge of a heated effluent into a shallow, quiescent receptacle. The physical model of the problem is the two-dimensional jet augmented by an imposed condition of viscous drag due to bottom friction effects. By virtue of the assumption that the physical properties of the effluent are independent of temperature over the operational temperature range of the plume, the analysis separates the total problem into a flow problem and a temperature problem. Solution of the temperature distribution is accomplished both analytically and numerically. Analytically, the temperature distribution is found through sequential integral solution of the equations defining the mathematical model, under the physical assumptions of a Gaussian flow distribution and the following relationship between the velocity and temperature distributions: [formula] where the subscript (max) denotes conditions along the jet centerline. Numerically, the equations defining the mathematical model are solved by a finite differencing technique implemented with the aid of an I.B.M. 360 digital computer. Comparison of the predictions of the model with the classical two-dimensional momentum jet indicate that the model is a reasonable approximation of the real physical problem. In addition, there is seen to be a critical dependence of the flow in the plume on the depth of the receptacle.
Notes
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Graduation Date
Summer 1972
Semester
Summer
Advisor
Nimmo, Bruce
Degree
Master of Science (M.S.)
College
College of Engineering
Degree Program
Environmental Systems Management
Format
Pages
84 p.
Language
English
Rights
Public Domain
Length of Campus-only Access
None
Access Status
Masters Thesis (Open Access)
Identifier
DP0012146
Subjects
Heat -- Transmission -- Mathematical models, Thermal pollution of rivers lakes etc
STARS Citation
Epstein, Alan H., "A Mathematical Model for Determining the Thermal Distribution Resulting from Discharge of a Heated Effluent" (1972). Retrospective Theses and Dissertations. 11.
https://stars.library.ucf.edu/rtd/11
Contributor (Linked data)
University of Central Florida. College of Engineering [VIAF]
Collection (Linked data)
Accessibility Status
Searchable text