Balance equations in skew curvilinear coordinate systems

We now return to the balances of Chap. 3 and rewrite them for arbitrary coordinate systems. We start with the balances in regular points and, in this context, with the simplest one, namely the balance of mass, which is a scalar equation. We then move on to the more complex ones for momentum, energy, as well as total angular momentum, and specify them for cylindrical and spherical coordinates. As before we follow both ways and present the balances in index form as well as symbolically. The chapter ends with a discussion of the jump conditions and of global balances in arbitrary coordinates. © 2014 Springer Science+Business Media Dordrecht.