On relativistic hydrodynamics: Bernoulli process equations

Abstract

A relativistic covariant description of a Bernoulli process is presented in terms of a set of two fundamental equations: Newton's second law and the first law of thermodynamics. The set is first obtained in the rest frame of the process S, then in a frame S ¯ moving at a constant velocity relative to S. It is shown that the set is covariant under Lorentz transformation, and reduces to the classical equations at the low-speed limit.