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GLOBAL WELL-POSEDNESS OF A CLASS OF DISSIPATIVE THERMOELASTIC FLUIDS BASED ON FRACTAL THEORY AND THERMAL SCIENCE ANALYSIS

ABSTRACT
Thermodynamics and fluid mechanics are used to study the mechanical properties of a class of thermoelastic fluid materials. Using the law of thermodynamics and the law of conservation of energy, thermal science analysis of dissipative thermoelastic fluid materials is performed in a planar 2-D flow field, and a corresponding mathematical model is established. Fractal theory, operator semi-group theory and fractional calculus are used to study the overall well-posedness of a dissipative thermoelastic flow.
KEYWORDS
PAPER SUBMITTED: 2018-05-01
PAPER REVISED: 2018-11-23
PAPER ACCEPTED: 2018-11-23
PUBLISHED ONLINE: 2019-09-14
DOI REFERENCE: https://doi.org/10.2298/TSCI1904461D
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE 4, PAGES [2461 - 2469]
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© 2020 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence