Kwak Ho-Young
Mechanical Engineering Department, Chung-Ang University, Seoul 06974, Korea.
Blue Economy Strategy Institute Co. Ltd., Focus Buld. 23-10 Hyoryeong-ro, 60-gil, Seocho-gu, Seoul 06721, Korea.
Entropy (Basel). 2018 Jul 28;20(8):562. doi: 10.3390/e20080562.
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.
基于与气泡运动相关的流体动力学方程的显式解，讨论了溶液中不断演化的微泡和纳泡伴随熵产生的热传递。尽管气泡内部气体与外部液体之间的压力差是气泡演化的主要驱动力，但气泡 - 液体界面处的传导热传递会影响气泡的微妙演化，特别是对于硫酸溶液中的声致发光气泡而言。另一方面，我们对连续性方程、欧拉方程和牛顿引力方程的显式解表明，超新星在膨胀或坍缩阶段通过在太空中辐射热量的引力而演化。在本文中，将讨论热传递引起的熵产生如何微妙地影响气泡运动，以及超新星的引力能和演化速度如何产生热传递。气泡和超新星在演化过程中经历的热传递产生了正的熵产生率。
