基于准静态假设下误差函数温度剖面的临界瑞利数
流体动力学
2016-09-21 v2
摘要
当半无限体从下方被突然升温（或从上方冷却）时，随着热量扩散到流体中，会形成误差函数温度剖面。在准静态（或冻结时间）近似下，利用大波长渐近展开研究了该剖面的稳定性。基于长度尺度 （其中 为热扩散率， 为加热开始后的时间），求得该层的临界瑞利数为 。
引用
@article{arxiv.1609.05124,
title = {Critical Rayleigh number of for error function temperature profile with a quasi-static assumption},
author = {Oliver S. Kerr},
journal= {arXiv preprint arXiv:1609.05124},
year = {2016}
}
备注
The main result of this paper concerns the critical Rayleigh number of root pi for the error function temperature profile under the quasi-static assumption. I assumed this result had been found previously, possibly many years ago. However, I have been unable to find it, and when I have asked around no one recognises it. If you have a prior reference for this result then please let me know