RELATIONSHIP BETWEEN THE LOCAL TEMPERATURE AND LOCAL HEAT FLUX IN A ONE-DIMENSIONAL SEMI-INFINITE DOMAIN WITH THE MOVING BOUNDARY

Vladimir V. Kulish, Vasily B. Novozhilov
2003 Journal of thermophysics and heat transfer  
The relationship between the local temperature and the local heat flux has been established for the homogeneous hyperbolic heat equation. This relationship has been written in the form of a convolution integral involving the modified Bessel functions. The scale analysis of the hyperbolic energy equation has been performed and the dimensionless criterion for the mode of energy transport, similar to the Reynolds criterion for the flow regimes, has been proposed. Finally, the integral equation,
more » ... tegral equation, relating the local temperature and the local heat flux, has been solved numerically for those processes of surface heating whose time scale is of the order of picoseconds.
doi:10.2514/1.2970 fatcat:yez2zayi2jf5nhb3kipv5jpdku