Estimation of Heat Transfer Coefficient of Cryogen Spray Cooling with Alifanov's Iterative Regularization Method

Abstract

Cryogen spray cooling has been applied as an effective method to reduce skin damage during laser therapy for some vascular lesions. Applied over tens of milliseconds, the human skin can be instantaneously cooled for the subsequent application of laser therapy so that the skin will not be damaged by the laser heating. In this work, an inverse heat conduction problem is solved for the estimation of surface heat transfer coefficient of cryogen spray cooling based on internal temperature measurements. Alifanov's iterative regularization method is applied for the function estimation without any a priori information about the functional form of the heat transfer coefficient. The effects of experimental errors of temperature measurements and the number and position of the temperature sensors are investigated.

Inverse prediction of frictional heat flux and temperature in sliding contact with a protective strip by iterative regularization method

“…Subtracting from the resulting expression the original Eq. (27) and neglecting the second-order terms, we thus find:…”

“…Detailed discussion on the mechanism behind the phenomenon was also documented. On the other hand, many studies [25][26][27] have also documented the sensitive nature of the predictive accuracy of an inverse solution on the relative position between the measured and estimated quantities in transient heat conduction problems. However, most of them tackled the issue by just reporting the finding, and there has not been a study probing deeper to reveal the mechanism behind the sensitivity.…”