Higher-time derivative of in-depth temperature sensors for aerospace heat transfer

Abstract This paper presents a novel sensor that delivers higher-time derivatives of temperature in combination with a thermocouple calibration curve. This highly attractive quantity has been demonstrate to be of critical importance for acquiring both stable and accurate surface and in-depth heat fluxes, predicting sudden changes in surface heat fluxes without inverse analysis, and predicting the future temperature in a thermal control environment. This paper outlines the motivation for developing such a sensor, presents the salient and poignant features of the initial design and processes required for arriving at the sensor while incurring minimal component delay times. Finally, preliminary predictions are presented using an experimental thermocouple drop facility that allows for comparison with an analytic model. The presented results are highly encouraging for stability, accuracy and repeatability.

[1]  Jay I. Frankel,et al.  A new multidimensional integral relationship between heat flux and temperature for direct internal assessment of heat flux , 2008 .

[2]  New Asymptotic Temperature-Heat Flux Integral Relationship in Cylindrical Coordinates , 2009 .

[3]  R. Kress Linear Integral Equations , 1989 .

[4]  Jay I. Frankel Regularization of inverse heat conduction by combination of rate sensor analysis and analytic continuation , 2007 .

[5]  Majid Keyhani,et al.  Global time method for inverse heat conduction problem , 2012 .

[6]  Jay I. Frankel,et al.  A new three-dimensional heat flux-temperature integral relationship for half-space transient diffusion , 2010, J. Frankl. Inst..

[7]  Jiehong Wu,et al.  Locating Sudden Changes in Heat Flux Using Higher Temporal Derivatives of Temperature , 2008 .

[9]  Jay I Frankel,et al.  Inferring convective and radiative heating loads from transient surface temperature measurements in the half-space , 2007 .

[10]  Jay I. Frankel,et al.  Stabilization of Ill-Posed Problems Through Thermal Rate Sensors , 2006 .

[11]  J. Frankel,et al.  New Orthotropic, Two-Dimensional, Transient Heat-Flux/Temperature Integral Relationship for Half-Space Diffusion , 2010 .

[12]  Bryan S. Elkins,et al.  Challenges for the Accurate Determination of the Surface Thermal Condition via In-Depth Sensor Data , 2011 .

[13]  M. Keyhani,et al.  Heating Rate dT/dt Measurements Developed from In-Situ Thermocouples using a Voltage-Rate Interface for Advanced Thermal Diagnostics AIAA-2006-3636 , 2006 .

[14]  James V. Beck,et al.  Inverse Heat Conduction , 2023 .

[15]  A. Nowak,et al.  Inverse thermal problems , 1995 .