Aeroacoustics of Low Mach Number Flows

Appendix A

Nomenclature

A.1 Symbol conventions, symbol modifiers, and Fourier transforms

Vectors are denoted using a bold character, such as x for position vector, or in terms of their Cartesian components, e.g., x₁, x₂, x₃, 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 ...