The critical state fluid dynamics of a liquid near the thermodynamic limit of supperheat, the so-called spindoal, is discussed. The critical beahvior of the thermodynamic properties, for example, compressibility, specific heat, and velocity of sound, is deduced from the theory of critical phenomena. This leads to simple relations with characteristic critical exponents. In addition, the transport coefficients, i.e. thermal conductivity and dynamic viscosity, as functions of superheat are investigated and similar correlations can be deduced. The compressible steady-state Couette-flow problem for extremely superheated liquids is solved analytially using generalized hypergeometric functions. The enables the formulation of new conditions for the critical exponents of the transport coefficients and, therefore, a better understanding of the behavior of superheated liquids.
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