A closed form analytical solution for the circumferential temperature variation including the non-Fourier effects of heat conduction was developed. The rate of convection to conduction was accounted for by use of the dimensionless Peclect number. The governing equation for the temperature in the vicinity of a rotating cylinder at constant RPM was non-dimensionalized. The equation was decomposed into a damping component and wave component. The wave component solution for the temperature was obtained by the method of Laplace transformation.  The model solution is in terms of a Bessel composite function of the zeroth order and first kind. The composite function is spatio-temporally symmetric.  The solution is in obeyance of Clausius's inequality. The Bessel function solution indicates that the transient temperature is a result of the dominating effects of convection, Fourier conduction and ballistic conduction.  A penetration distance above which there will not be any change in the temperature of the fluid can be recognized. A thermal lag time can also be recognized in a interior point in the fluid away from the hot oil poured spot, below which there will not be any appreciable change in temperature.

On circumferential variation of temperature during damped wave conduction and relaxation

242nd National Meeting (2011)

The official archive and repository for all ACS Meetings & Expositions abstracts and select posters or presentations.