Hydrothermal Analysis by Finite Element Method

by Larry A. Loziuk, Sargent & Lundy Engrs., Chicago, IL,
James C. Anderson, Engr. Analyst; Sargent & Lundy Engrs., Chicago, IL,
Ted Belytschko, Asst. Prof. of Materials Engrg.; Univ. of Illinois at Chicago, Chicago, IL,

Serial Information: Journal of the Hydraulics Division, 1972, Vol. 98, Issue 11, Pg. 1983-1998

Document Type: Journal Paper


The finite element method is used to predict the horizontal temperature distribution resulting from the discharge of a heated effluent into a body of water. The methods of heat transfer which are considered include the heat exchange at the air-water interface, advection and diffusion. The two-dimensional, steady state solution to the governing field equation is approximated by applying Galerkin's method. Comparison of the numerical solution with the exact solution for a one-dimensional example is in good agreement. The analytical procedure is also used to predict the distribution of a heated effluent which is discharged into a river and the results are compared with those obtained for a model study. The analytical technique can be applied to rivers, lakes or cooling ponds.

Subject Headings: Finite element method | Water discharge | Temperature distribution | Effluents | Heat transfer | Comparative studies | Rivers and streams | Advection

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