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A Mathematical Model for Determining the Thermal Distribution Resulting from Discharge of a Heated Effluent
 Date Issued:
 1972
 Abstract/Description:
 Florida Technological University College of Engineering Thesis; A mathematical model is presented for the problem of determining the twodimensional temperature distribution resulting from the discharge of a heated effluent into a shallow, quiescent receptacle. The physical model ofr the problem is the twodimensional 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 twodimensional 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.
Title:  A Mathematical Model for Determining the Thermal Distribution Resulting from Discharge of a Heated Effluent. 
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Name(s): 
Epstein, Alan H., Author Nimmo, Bruce, Committee Chair Engineering, Degree Grantor 

Type of Resource:  text  
Date Issued:  1972  
Publisher:  Florida Technical University  
Language(s):  English  
Abstract/Description:  Florida Technological University College of Engineering Thesis; A mathematical model is presented for the problem of determining the twodimensional temperature distribution resulting from the discharge of a heated effluent into a shallow, quiescent receptacle. The physical model ofr the problem is the twodimensional 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 twodimensional 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.  
Identifier:  CFR0012146 (IID), ucf:53131 (fedora)  
Note(s): 
19720801 M.S. Environmental Systems Management Masters This record was generated from author submitted information. Electronically reproduced by the University of Central Florida from a book held in the John C. Hitt Library at the University of Central Florida, Orlando. 

Subject(s): 
Heat  Transmission  Mathematical models Thermal pollution of rivers lakes etc 

Persistent Link to This Record:  http://purl.flvc.org/ucf/fd/CFR0012146  
Restrictions on Access:  public  
Host Institution:  UCF 