This paper presents a general solution of the transient response of an infinite plate (0 < x < l; y & z = ± ∞) to a step change in the surrounding temperatures. Each face of the plate is subjected to independent boundary conditions in terms of temperature and convective heat transfer coefficient. The results are presented in chart form as a function of dimensionless time with the two surface Biot numbers as the parameters. Results include surface temperatures, average temperature, and the first moment of the temperature distribution. The results are quite useful for the solution of a wide range of transient thermal problems. This includes heat flux determinations and thermal transient stresses in nuclear power piping.

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