{'fraction_non_alphanumeric': 0.01303538175046555, 'fraction_numerical': 0.0037243947858473, 'mean_word_length': 4.912087912087912, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Estimation of the initial temperature field during cooling of a 1-d three layer body

A method is developed to determine the initial spatial distribution T 0(x) of the temperature field in the central layer of a body from temperature measurement histories recorded in both side layers of the same body. The resolution of this inverse heat conduction problem is based on the minimization of a L-S criterion by using conjugate gradient algorithms. The practical case involving non perfect thermal conditions between the layers is analyzed.