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Entropy Generation Due to the Heat Transfer for Evolving Spherical Objects

Heat transfer accompanying entropy generation for the evolving mini and microbubbles in solution is discussed based on the explicit solutions for the hydrodynamic equations related to the bubble motion. Even though the pressure difference between the gas inside the bubble and liquid outside the bubb...

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Detalles Bibliográficos
Autor principal: Kwak, Ho-Young
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7513087/
https://www.ncbi.nlm.nih.gov/pubmed/33265651
http://dx.doi.org/10.3390/e20080562
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author Kwak, Ho-Young
author_facet Kwak, Ho-Young
author_sort Kwak, Ho-Young
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description Heat transfer accompanying entropy generation for the evolving mini and microbubbles in solution is discussed based on the explicit solutions for the hydrodynamic equations related to the bubble motion. Even though the pressure difference between the gas inside the bubble and liquid outside the bubble is a major driving force for bubble evolution, the heat transfer by conduction at the bubble-liquid interface affects the delicate evolution of the bubble, especially for sonoluminescing the gas bubble in sulfuric acid solution. On the other hand, our explicit solutions for the continuity, Euler equation, and Newtonian gravitational equation reveal that supernovae evolve by the gravitational force radiating heat in space during the expanding or collapsing phase. In this article, how the entropy generation due to heat transfer affects the bubble motion delicately and how heat transfer is generated by gravitational energy and evolving speed for the supernovae will be discussed. The heat transfer experienced by the bubble and supernovae during their evolution produces a positive entropy generation rate.
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spelling pubmed-75130872020-11-09 Entropy Generation Due to the Heat Transfer for Evolving Spherical Objects Kwak, Ho-Young Entropy (Basel) Article Heat transfer accompanying entropy generation for the evolving mini and microbubbles in solution is discussed based on the explicit solutions for the hydrodynamic equations related to the bubble motion. Even though the pressure difference between the gas inside the bubble and liquid outside the bubble is a major driving force for bubble evolution, the heat transfer by conduction at the bubble-liquid interface affects the delicate evolution of the bubble, especially for sonoluminescing the gas bubble in sulfuric acid solution. On the other hand, our explicit solutions for the continuity, Euler equation, and Newtonian gravitational equation reveal that supernovae evolve by the gravitational force radiating heat in space during the expanding or collapsing phase. In this article, how the entropy generation due to heat transfer affects the bubble motion delicately and how heat transfer is generated by gravitational energy and evolving speed for the supernovae will be discussed. The heat transfer experienced by the bubble and supernovae during their evolution produces a positive entropy generation rate. MDPI 2018-07-28 /pmc/articles/PMC7513087/ /pubmed/33265651 http://dx.doi.org/10.3390/e20080562 Text en © 2018 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Kwak, Ho-Young
Entropy Generation Due to the Heat Transfer for Evolving Spherical Objects
title Entropy Generation Due to the Heat Transfer for Evolving Spherical Objects
title_full Entropy Generation Due to the Heat Transfer for Evolving Spherical Objects
title_fullStr Entropy Generation Due to the Heat Transfer for Evolving Spherical Objects
title_full_unstemmed Entropy Generation Due to the Heat Transfer for Evolving Spherical Objects
title_short Entropy Generation Due to the Heat Transfer for Evolving Spherical Objects
title_sort entropy generation due to the heat transfer for evolving spherical objects
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7513087/
https://www.ncbi.nlm.nih.gov/pubmed/33265651
http://dx.doi.org/10.3390/e20080562
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