Abstract: A linear model of two cylindrical plane wall layers exposed to oscillating temperatures and frequencies was built using a physical superposition of two states. In the first state, the inner surface of a wall was exposed to oscillating temperature and the outer surface was exposed to a zero relative temperature. In the second state, the inner surface was exposed to a zero relative temperature while the outer surface was exposed to an oscillating temperature with different amplitude and frequency. Temperature distributions were derived for different amplitudes, frequencies, and thermal conductivities. Results show that increasing the frequency decreased the depth of temperature penetration. A high frequency led to extremum temperature values on the surface, while a low frequency allowed gradual temperature changes during the time period. Temperature distribution lines showing simultaneous heat flux entry and exit were not observed.

Key words: Oscillating temperature; Temperature amplitude; Thermal conductivity; Thermal diffusivity

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