# THE CALCULATION OF RADIAL TEMPERATURE DISTRIBUTIONS IN CYLINDRICAL FUEL SPECIMENS DURING NEUTRON IRRADIATION. Metallurgy Program 6.1.26

## Abstract

A knowledge of the temperature distribution within a fuel sample during irradiation is required in order to evaluate the changes that occur in the physical and metallurgical propertoies of a fuel material upon irradiation. Because it is often impractical to measure temperatures within a fuel sample during irradiation, it is frequently necessary to rely upon computed values of the temperature. Therefore, a brief description and a comparison of the methods most frequently used for computing radial temperature distributions within irradiation samples are presented. The calculation of temperature distributions in samples containing fissionable isotopes is complicated by a number of variables, among which are the variation of heat production throughout the sample (due to local neutron-flux perturbations) and the variation of thermal conductivity occasioned by unusually steep temperature gradients. Various assumptions, which are considered to fit most closely the conditions at hand, are made for these calculations. As no standard set of assumptions can fit all cases, four illustrative cases are presented, representing four different sets of conditions applied to the heatconduction equation. The four cases considered may be briefly described as follows: varlable thermal conductivity, nonuniform heat production; variable thermal conductivity, uniform heat production; constant thermal conductivity, nonuniform heat production;more »

- Authors:

- Publication Date:

- Research Org.:
- Argonne National Lab., Lemont, Ill.

- OSTI Identifier:
- 4288075

- Report Number(s):
- ANL-5873

- NSA Number:
- NSA-13-003364

- DOE Contract Number:
- W-31-109-ENG-38

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: Orig. Receipt Date: 31-DEC-59

- Country of Publication:
- United States

- Language:
- English

- Subject:
- RADIATION EFFECTS ON MATERIALS; FISSIONABLE MATERIALS; FUEL ELEMENTS; HEATING; RADIATION EFFECTS; TEMPERATURE

### Citation Formats

```
Taraba, F.R.
```*THE CALCULATION OF RADIAL TEMPERATURE DISTRIBUTIONS IN CYLINDRICAL FUEL SPECIMENS DURING NEUTRON IRRADIATION. Metallurgy Program 6.1.26*. United States: N. p., 1958.
Web. doi:10.2172/4288075.

```
Taraba, F.R.
```*THE CALCULATION OF RADIAL TEMPERATURE DISTRIBUTIONS IN CYLINDRICAL FUEL SPECIMENS DURING NEUTRON IRRADIATION. Metallurgy Program 6.1.26*. United States. doi:10.2172/4288075.

```
Taraba, F.R. Sat .
"THE CALCULATION OF RADIAL TEMPERATURE DISTRIBUTIONS IN CYLINDRICAL FUEL SPECIMENS DURING NEUTRON IRRADIATION. Metallurgy Program 6.1.26". United States. doi:10.2172/4288075. https://www.osti.gov/servlets/purl/4288075.
```

```
@article{osti_4288075,
```

title = {THE CALCULATION OF RADIAL TEMPERATURE DISTRIBUTIONS IN CYLINDRICAL FUEL SPECIMENS DURING NEUTRON IRRADIATION. Metallurgy Program 6.1.26},

author = {Taraba, F.R.},

abstractNote = {A knowledge of the temperature distribution within a fuel sample during irradiation is required in order to evaluate the changes that occur in the physical and metallurgical propertoies of a fuel material upon irradiation. Because it is often impractical to measure temperatures within a fuel sample during irradiation, it is frequently necessary to rely upon computed values of the temperature. Therefore, a brief description and a comparison of the methods most frequently used for computing radial temperature distributions within irradiation samples are presented. The calculation of temperature distributions in samples containing fissionable isotopes is complicated by a number of variables, among which are the variation of heat production throughout the sample (due to local neutron-flux perturbations) and the variation of thermal conductivity occasioned by unusually steep temperature gradients. Various assumptions, which are considered to fit most closely the conditions at hand, are made for these calculations. As no standard set of assumptions can fit all cases, four illustrative cases are presented, representing four different sets of conditions applied to the heatconduction equation. The four cases considered may be briefly described as follows: varlable thermal conductivity, nonuniform heat production; variable thermal conductivity, uniform heat production; constant thermal conductivity, nonuniform heat production; and constant thermal conductivity, uniform heat production. (auth)},

doi = {10.2172/4288075},

journal = {},

number = ,

volume = ,

place = {United States},

year = {1958},

month = {11}

}