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- W1970802023 abstract "Five general properties of steady temperatures in solids of arbitrary shape are derived here. Although the derivations are mathematical they depend almost solely on the very fundamentals of the mathematical theory of heat conduction. The solid has any portion of its surface held at a fixed temperature distribution and the rest exposed to gas. The rate of transfer of heat between gas and surface is assumed to be any function of the position of the point and the temperature of the surface, for a given state of the gas. For a fixed temperature this function is called the emissivity. Briefly stated, the important properties are: I. In two geometrically similar solids exposed to the same surface temperature conditions at corresponding points, except that their emissivities are inversely proportional to their sizes, the temperatures at corresponding points are equal. I(a). If the entire surfaces of two geometrically similar solids are given fixed temperature distributions the temperatures at corresponding points are equal everywhere if they are equal on the surfaces. II. An increase in the size of a solid causes the same temperature change as an increase in its emissivity. IV. An increase in the size of a solid causes an increase in the temperature at each point if the solid is receiving heat from the gas, and a decrease if the solid is losing heat to the gas. V. From Newton's law of surface heat transfer there follows a linear relation between the steady temperature at any point and the uniform temperatures of the gas and the fixed‐temperature surface. These properties are discussed at the end of the paper. Some of the results of IV seem contrary to expected results." @default.
- W1970802023 created "2016-06-24" @default.
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- W1970802023 date "1933-02-01" @default.
- W1970802023 modified "2023-09-25" @default.
- W1970802023 title "General Properties of Steady Temperatures in Solids Partially Exposed to Gas" @default.
- W1970802023 cites W2088336021 @default.
- W1970802023 doi "https://doi.org/10.1063/1.1745158" @default.
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