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This chapter sets forth the mathematical models commonly used to describe the equilibrium and
dynamics of fluids. Unless
stated otherwise, all of the analysis is performed using a standard right-handed Cartesian coordinate
). Moreover, the Einstein summation convention is employed (which means that repeated roman subscripts are assumed to be summed from 1 to 3). (See Appendix B.) More information on the fundamental assumptions that underlie conventional fluid mechanics, as
well as the basic equations that describe fluid motion, can be found in Batchelor 2000.