Species conservation cylindrical coordinates

A sound understanding of the physical conservation laws is essential to one s ability to specialize them, solve them, and apply the results successfully. Therefore we begin with a derivation of the laws that govern the conservation of mass, momentum, thermal energy, and chemical species. We approach the derivation from a fluid-mechanical point of view, and the reader may find considerable overlap with other books in viscous fluid mechanics. However, we depart from the traditional presentation in two ways. First, because we are principally concerned with chemically reacting flow, we retain many features that may be negligible in fluid flow alone. Second, because we are often concerned with axisymmetric flows, we cast much of the mathematics in cylindrical coordinates rather than cartesian coordinates. While the later choice adds some complexity, it also serves to highlight some important issues that can be overlooked in cartesian coordinates. 

In cylindrical coordinates, after we expand out the substantial derivative, the species mass conservation equation becomes... 

The species conservation equations in cylindrical and spherical coordinates are shown in Table 2.2-2. In rectangular coordinates the cotieqionding conservation of species equations in molar units ate... 

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See also in sourсe #XX -- [ ]

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