Temperature measurements along one side of the rectangular plate showed severe temperature non-uniformity along one side of a wall of a cubical experimental apparatus where the uniform temperature was physically desired. Despite proper planning and analyses, this non-uniformity was high enough that a benchmark study could not be carried out to the desired accuracy of about one percent error. This paper presents and extends analyses made previously based on the modifications to the original design of the apparatus to reduce the temperature non-uniformity on the wall by adding an auxiliary heater around a wall where the uniform temperature was desired. A detailed mathematical analysis shows significant reduction in temperature non-uniformity from about four percent (based on the initial design) to less than one percent (for the modified design). By examining the temperature difference between two locations on the plate, the predicted temperature difference obtained through mathematical analyses show excellent agreement with the measured temperature difference. The temperature non-uniformity along the boundary of a wall was reduced to less than one percent of the overall temperature difference.
C. Lee, P. Y. and Leong, W. H.
Physically-Realizable Uniform Temperature Boundary Condition Specification on a Wall of an Enclosure: Part II – Problem Solution,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 8,
1, Article 4.
Available at: https://digitalcommons.pvamu.edu/aam/vol8/iss1/4