Spanning the diffusive to ballistic scales in space and time: The C- and F-processes heat transport model

Spanning the diffusive to ballistic limits for resolving space scales, a novel C- and F-processes generalized heat conduction model is described which also permits bridging temporal scales in the sense of predicting finite to infinite speeds of thermal energy transport. Of noteworthy importance is the notion of a nondimensional heat conduction model number which is useful for characterizing the propagation of thermal energy transport from transient to steady state where thermal conductivity predictions are eventually made. Results demonstrating bridging of space and time scales and validation with experiments demonstrate the effectiveness of the overall formulation for heat transport characterization at different scales.