Western Kentucky University

Modeling of Thermal Time Evolution and Gradients on Extended Samples

Institution

Western Kentucky University

Abstract

A finite difference approximation method has been used to model the thermal time evolution and gradients across extended samples. To facilitate our model, a simplified experimental sample geometry consisting of flat rectangular aluminum and copper strips were utilized. Cooling of each sample in-situ from 400K over a specified time frame produced results consistent with experiment. Examinations of the thermal gradients along the long axis of the sample were considered at 50, 150, and 400K in the presence of a helium exchange gas. The modeled gradients were again consistent with experiment. These results will assist the sample environment group at the Spallation Neutron Source better serve the general user community. Future experiments will consider additional materials and sample geometries.

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Modeling of Thermal Time Evolution and Gradients on Extended Samples

A finite difference approximation method has been used to model the thermal time evolution and gradients across extended samples. To facilitate our model, a simplified experimental sample geometry consisting of flat rectangular aluminum and copper strips were utilized. Cooling of each sample in-situ from 400K over a specified time frame produced results consistent with experiment. Examinations of the thermal gradients along the long axis of the sample were considered at 50, 150, and 400K in the presence of a helium exchange gas. The modeled gradients were again consistent with experiment. These results will assist the sample environment group at the Spallation Neutron Source better serve the general user community. Future experiments will consider additional materials and sample geometries.