The analytical equation of state for liquid water, proposed by Jeffery and Austin, is discussed and used for calculating of the sound velocity and the parameter BIA in the paper. These acoustic quantities, obtained for the theoretical model, are compared with experimental data. Some corrections to the equation of state, resulting from the comparison, are proposed.
Values of nonlinear parameter B=A and sound velocity are calculated in the theory of real (van der Waals) and semi-ideal gases and compared with experimental data. Both thermic and the caloric equations of state are revisited and used in Taylor series coefficients evaluation. The equations describe the non-adiabaticity of the process of the sound wave propagation.
The method of deriving the evolution equation, based on projecting is applied for the evaluation of the sound velocity and the parameters of nonlinearity for real gases and liquids. The method yields in a coupled system of interacting modes: leftwards and rightwards acoustic and heat modes in the one-dimensional flow problem. The general form of the caloric equation of state allows to get the coefficients of nonlinear equations in the general form. As an example, the sound velocity and the nonlinear parameter B/A for a variety of semi-ideal gases were calculated and the results compared with experimental data.
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