Appendix A

Vectors are denoted using a bold character, such as x for position vector, or in terms of their Cartesian components, e.g., x_{1}, x_{2}, x_{3}, or x_{i}. Tensors are denoted in terms of their Cartesian components using double subscript notation, for example, p_{ij} for the compressive stress tensor.

In general, the mean value of a variable is denoted using subscript “o” (as in the mean pressure, p_{o}), or using the expected value operator denoted as E[ ] or using an overbar (as in the mean square pressure fluctuation, $\overline{{{p}^{\prime}}^{2}}$). The fluctuating part of a variable is indicated ...

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