Axial Temperature Distribution for a Nuclear Reactor With Sinusoidal Space and Exponential Time-Varying Power Generation

[+] Author and Article Information
W. O. Doggett

Department of Physics, North Carolina State College, Raleigh, N. C.

E. L. Arnold

Department of Electrical Engineering, U. S. Military Academy, West Point, N. Y.

J. Heat Transfer 83(4), 423-431 (Nov 01, 1961) (9 pages) doi:10.1115/1.3683661 History: Received August 22, 1960


Analytic temperature distributions are obtained for the fuel and coolant regions of a heterogeneous, convection-cooled reactor with axial power variation ewt sin (πz/H). The fundamental assumption in the governing differential equations is that the temperature distribution in the fuel region does not vary in the direction transverse to the coolant flow. The solutions involve two and three-parameter integrals encountered and numerically evaluated previously which are integrated herein and arranged in a form suitable for desk calculations. Closed-form expressions are developed for the final steady-state axial distributions which are applicable at times long in comparison with the characteristic temperature-response times.

Copyright © 1961 by ASME
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