Inverse Determination of Heat Flux into a Gun Barrel using Temperature Sensors

摘要

A mathematical model is developed to describe the thermal response of a temperature sensor located within a gun barrel, which accounts for the time-constant of the sensor and a measurement bias. The model is inversely solved to estimate the total heat flux applied to the bore surface as well as the transient history of the applied heat flux for a given thermal response of a temperature sensor. A parametric study is conducted to determine the influence of sensor time-constant, sensor location within the gun barrel, and measurement bias on the accuracy of the estimated heat flux as applied to a 155mm gun barrel. It is found that the accuracy of the estimated heat flux improves as the time-constant of the sensor decreases, the sensor is located closer to the bore surface, and the measurement bias decreases. A regression model is provided to estimate that accuracy and it is shown how a typical thermocouple would perform at various locations through the thickness of the gun barrel.