用三重Beltrami方程研究大气球状闪电的形成机制
Formation mechanism of the atmospheric ball lightning using the triple Beltrami equation
摘要：
球状闪电，也被称为火球，是一种在雷暴过程中发生的发光球体。以由电子和单组分离子组成的双流体等离子体作为火球模型，考虑到等离子体流是有限量，在保持螺旋度常数的情况下，导出了磁场的三重Beltrami方程形式的弛豫能态方程：s curl x curl x curl x B + p curl x curl x B +q curl x B +r B = 0.其中，B是磁场，s、p、q和r是通过边界条件确定的常数。该方程与描述流体动力学涡旋的方程耦合。在天空中形成孤立的发光物质的问题和由此产生的形式的适度持久性，结合对描述空心球体，表面日冕和快速旋转的球形闪电的观察，导致了将球形闪电描绘为漩涡的理论。我们探讨这个方程的解决方案，使用的方法，rasekhar-Kendall特征函数和适当的边界条件类似，但更广泛的，由Shukla，Dasgupta和Sakanaka给出的描述。我们将展示可能解释火球配置的解决方案。由FAPESP-Fundacao de Amparo a Pesquisa do Estado de Sao Paulo支持。
英文摘要：
Ball lightning, also known as fire ball, is a luminous globe which occurs in the course of a thunderstorm. Taking as model of fire ball, the two fluid plasma consisting of electrons and one species ions, and considering that the plasma flow is a finite quantity, we can derive the equation of relaxed energy state, maintaining the helicity constant, in the form of triple Beltramiequations for the magnetic field: s curl x curl x curl x B + p curl x curl x B +q curl xB +r B = 0. Where B is the magnetic field s, p, q, and r are constants to be determined through boundary conditions. This equation is coupled with an equation which describes the hydrodynamic vortex. The problem of the formation of an isolated luminous mass in the sky and the moderate persistence of the resulting form combined with observations of ball lightning describing hollow globes, surface coronas and rapid rotation led to theories depicting ball lightning as a vortex. We explore the solutions of this equation using the method of Chandrasekhar-Kendall eigenfunctions and appropriate boundary conditions similar, but more extensive, to the description given by Shukla, Dasgupta and Sakanaka. We will show solutions which might explain the fire ball configurations.Supported by FAPESP-Fundacao de Amparo a Pesquisa do Estado de Sao Paulo.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
