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Transient Temperature Distribution in a Reactor Core with Cylindrical Fuel Rods and Compressible Coolant

Abstract

Applying linearization and Laplace transformation the transient temperature distribution and weighted temperatures in fuel, canning and coolant are calculated analytically in two-dimensional cylindrical geometry for constant material properties in fuel and canning. The model to be presented includes previous models as special cases and has the following novel features: compressibility of the coolant is accounted for. The material properties of the coolant are variable. All quantities determining the temperature field are taken into account. It is shown that the solution for fuel and canning temperature may be given by the aid of 4 basic transfer functions depending on only two variables. These functions are calculated for all relevant rod geometries and material constants. The integrals involved in transfer functions determining coolant temperatures are solved for the most part generally by application of coordinate and Laplace transformation. The model was originally developed for use in steam cooled fast reactor analysis where the coolant temperature rise and compressibility are considerable. It may be applied to other fast or thermal systems after suitable simplifications.
Authors:
Publication Date:
Apr 15, 1968
Product Type:
Technical Report
Report Number:
AE-315
Resource Relation:
Other Information: 7 refs., 6 figs., 1 tab.
Subject:
22 GENERAL STUDIES OF NUCLEAR REACTORS; TEMPERATURE DISTRIBUTION; ANALYTICAL SOLUTION; FUEL CANS; PRIMARY COOLANT CIRCUITS; FUEL RODS; LAPLACE TRANSFORMATION; REACTOR CORES
OSTI ID:
20956281
Research Organizations:
AB Atomenergi, Nykoeping (Sweden)
Country of Origin:
Sweden
Language:
English
Other Identifying Numbers:
TRN: SE0708715
Availability:
Commercial reproduction prohibited; OSTI as DE20956281
Submitting Site:
SWDN
Size:
42 pages
Announcement Date:
Dec 29, 2007

Citation Formats

Vollmer, H. Transient Temperature Distribution in a Reactor Core with Cylindrical Fuel Rods and Compressible Coolant. Sweden: N. p., 1968. Web.
Vollmer, H. Transient Temperature Distribution in a Reactor Core with Cylindrical Fuel Rods and Compressible Coolant. Sweden.
Vollmer, H. 1968. "Transient Temperature Distribution in a Reactor Core with Cylindrical Fuel Rods and Compressible Coolant." Sweden.
@misc{etde_20956281,
title = {Transient Temperature Distribution in a Reactor Core with Cylindrical Fuel Rods and Compressible Coolant}
author = {Vollmer, H}
abstractNote = {Applying linearization and Laplace transformation the transient temperature distribution and weighted temperatures in fuel, canning and coolant are calculated analytically in two-dimensional cylindrical geometry for constant material properties in fuel and canning. The model to be presented includes previous models as special cases and has the following novel features: compressibility of the coolant is accounted for. The material properties of the coolant are variable. All quantities determining the temperature field are taken into account. It is shown that the solution for fuel and canning temperature may be given by the aid of 4 basic transfer functions depending on only two variables. These functions are calculated for all relevant rod geometries and material constants. The integrals involved in transfer functions determining coolant temperatures are solved for the most part generally by application of coordinate and Laplace transformation. The model was originally developed for use in steam cooled fast reactor analysis where the coolant temperature rise and compressibility are considerable. It may be applied to other fast or thermal systems after suitable simplifications.}
place = {Sweden}
year = {1968}
month = {Apr}
}