A method for predicting thermal waves in dual-phase-lag heat conduction. (December 2017)

• Record Type: Journal Article
• Authors: Kang, Zhanxiao; Zhu, Pingan; Gui, Dayong; Wang, Liqiu
• Is Part Of: International journal of heat and mass transfer. Volume 115(2017)Part A
• Page Start: 250
• Page End: 257
• Publication Date: 2017-12
• Subjects: Dual-phase-lag heat conduction -- Thermal wave -- Time lag ratio -- Experimental method; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; Chaleur -- Transmission -- Périodiques; Transfert de masse -- Périodiques; Electronic journals; 621.4022
• DOI: 10.1016/j.ijheatmasstransfer.2017.07.036
• Languages: English
• ISSNs: 0017-9310

Abstract

Highlights: The existence of thermal waves is experimentally studied. The thermal waves are predicted by the measurement of the time lag ratio. The time lag ratio depends on the time derivative of the square of excess temperature. Experimental results indicate that there are no thermal waves in sand and lean pork. Abstract: We predict whether thermal waves exist or not in dual-phase-lag heat conduction by measuring the time lag ratio ( τ q / τ T ). In this method, a one-dimensional model of cylindrical heating is developed and solved by the method of Laplace transform. The time lag ratio is then derived from the time derivative of the square of excess temperature on the heater wall in the initial heating stage. Experimentally, we also applied this method to measure the time lag ratios for sand and lean pork, both of which are less than 1 within acceptable measurement uncertainty, indicating no thermal waves generated. This method is of great importance for the application of dual-phase-lag heat conduction model since it can predict existence of thermal waves through a simple experiment.