1. However, potential flows also have been used to describe compressible flows . 2. In compressible flow , however, the gas density and temperature also become variables. 3. In fact, thermodynamics is typical of compressible flows and degenerates in incompressible flows. 4. Compressible flow is responsible for these changes in pressure, velocity, density, and temperature.5. Inviscid compressible flow over slender bodies is governed by linearized compressible small-disturbance potential equation: 6. There are also gravity currents with large density variations-the so-called low Mach number compressible flows . 7. For an extensive list of compressible flow equations, etc ., refer to NACA Report 1135 ( 1953 ). 8. Analyzing ducts flowing at higher velocities with mach numbers in excess of 0.3 usually require Compressible flow relations. 9. In 1757, Leonhard Euler published the Euler equations, extending Bernoulli's principle to the compressible flow regime. 10. More advanced forms may be applied to compressible flows at higher Mach numbers ( see the derivations of the Bernoulli equation ).
