Determination of surface heat flux and temperature using in-depth temperature data – Experimental verification

Evaluation of the Thermal Diffusivity of Carbon/Phenolic Composites (CPCs) through Oxy-Acetylene Torch (OAT) Test—Part 1: Experimental Characterization and Preliminary Validation

“…Some practical applications allow the use of surface-mounted heat-flux gauges. Considerable research has been spent on the development of high-temperature heat-flux gauges that do not require active cooling [ 42 ]. However, in many applications, the use of surface-mounted sensors is not practical.…”

“…This calibration test data, along with in-depth TC data from a new test, can be used to determine the surface thermal conditions that caused the measured in-depth temperature response of the considered test. The Non-Integer System Identification (NISI) method [ 42 ] is a system calibration where an impulse function is obtained based on the fractional derivative formulation of the heat equation. The calibration test data are used to determine the calibration coefficients using a least squares method.…”

“…The surface heat flux of an unknown heating process can be determined using the calibration coefficients along with the in-depth temperature data resulting from the unknown heating process. The Calibration Integral Equation Method (CIEM) is an alternative approach to the concept of system calibration which does not require the calculation of calibration coefficients [ 42 ].…”

“…Myrick et al [ 42 ] presented an experimental investigation of the accuracy of CIEM approach testing an AISI 304 stainless-steel plug-type test sample heated with a laser power source. The one-probe CIEM requires the knowledge of the surface thermal boundary condition of a calibration test along with temperature data from one in-depth probe in order to predict the surface thermal boundary condition of an unknown (reconstruction) heating process given the temperature data from the same probe.…”