Thermal contact model accounting resistance – capacitance effect and response time
Mohamed B. H. Sassi
The first and the second law of thermodynamics are investigated to derive the closed mathematical set of equations describing the transient conductive heat transfer through an interface of contact. The capacitive and resistive effects are considered. For macro-scale heat transfer, the proposed model is close to the parabolic heat conduction equation. For high frequencies of heat perturbations, the response time of a considered elementary volume cannot be neglected and the proposed model leads to heat transfer equations close to the parabolic and the Cattaneo-Vernotte equations with complementary terms.
Keywords: Heat Conduction, Thermal Contact Resistance, Relaxation Time, Hyperbolic Equation, Diffusive Equation, High Frequencies.