{'fraction_non_alphanumeric': 0.011128775834658187, 'fraction_numerical': 0.0, 'mean_word_length': 5.428571428571429, '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}}
Heat transfer of particles in plasma flow

Small spherical particles injected into a flowing high-temperature plasma stream attain an increase in heat energy by conduction and coercive heat transfer. Because of the non-linear temperature dependence of the material functions and the transport properties of the plasma gas, the solution is usually obtained by an extensive numerical method. This paper describes a simple and fast polynomial series method to calculate the transient radial temperature distributions and the required melting time of single-phase particles as functions of the plasma temperature and velocity fields.