If heat be supplied at a constant rate to a liquid which is kept at uniform temperature throughout by stirring, and if this liquid lose heat according to Newton's law of cooling, we get dΘ/dt = β/C – αΘ for the differential equation from which to obtain the temperature, Θ, as a function of time. β/c is the rate of heat supply divided by thermal capacity and a Θ the rate of cooling. The surrounding medium is assumed to be at zero temperature. This equation is equally valid if the liquid be replaced by a solid of very high diffusivity. Equation (1) assumes the thermal capacity of the liquid to be independent of temperature.
Proceedings of the Iowa Academy of Science
© Copyright 1928 by the Iowa Academy of Science, Inc.
Thompson, Geo. E.
"Heat Flow in the Finite Cylinder with Variable Surface Temperature,"
Proceedings of the Iowa Academy of Science, 35(1), 246-248.
Available at: https://scholarworks.uni.edu/pias/vol35/iss1/47