内核地球自转动力学理论的研究进展——Ⅲ液核自转动力学方程

The progress on dynamical theory of Inner core Earth rotation—— Ⅲ The dynamical equation fluid core Earth's rotation

本文是序列文章的第三篇,其内容包括:基于连续介质力学的基本理论,给出了液体外核(FOC)两种形式的角动量方程,对作用在FOC上外力矩进行了详细研究,同时对液核作用在固体内核(SIC)上的压力产生的压力矩进行了讨论,在O(ms)的量级上给出了它们的表达式.本文改正了文献〔1〕在推导过程中的某些错误(例如:(B18)、(B28)、(B29)(、B30)(、B35a)和(B35b)式).本文是对文献〔1〕有关理论的扩展和改进,对进一步研究内核地球自转的动力学理论是非常重要的.

This paper is the third section of a serial articles, The primary contents included： based on the basic theory of the continuous medium mechanics, we have given double-duty equations of the angular momentum of fluid outer core （FOC）, investigated external torque acting on FOC in particular, at the same time, discussed pressure torque acting on SIC by FOC＇s pressure on it, in order of magnitude of O（ms）, have given their expressions. This paper corrects some errors in the deducting process of literature [1] （for example, the formulae（B18）, （B28）, （B29）, （B30）, （B35a）, （B35b））. This paper is an extension and sharpening to theory in literature [1 ], and is very importance to more studying dynamical theory on the inner core Earth＇s rotation.