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The gas flow is along a straight line from gas inlet to exhaust gas exit. The gas flow behavior is compressible. There are numerous applications where a steady, uniform, isentropic flow is a good approximation to the flow in conduits. These include the flow through a jet engine, through the nozzle of a rocket, from a broken gas line, and past ...
In isentropic flow the ratio of total pressure to static pressure is given by: [3] = (+) where: is total pressure is static pressure is the ratio of specific heats. is the freestream Mach number
In hypersonic flow, the pressure coefficient can be accurately calculated for a vehicle using Newton's corpuscular theory of fluid motion, which is inaccurate for low-speed flow and relies on three assumptions: [5] The flow can be modeled as a stream of particles in rectilinear motion; Upon impact with a surface, all normal momentum is lost
For isentropic processes, the Cauchy number may be expressed in terms of Mach number. The isentropic bulk modulus K s = γ p {\displaystyle K_{s}=\gamma p} , where γ {\displaystyle \gamma } is the specific heat capacity ratio and p is the fluid pressure.
In the classical regime, expansions are smooth isentropic processes, while compressions occur through shock waves, which are discontinuities in the flow. If gas-dynamics is inverted, the opposite occurs, namely rarefaction shock waves are physically admissible and compressions occur through smooth isentropic processes. [24]
Expansion waves are divergent because as the flow expands the value of Mach number increases, thereby decreasing the Mach angle. In an isentropic wave, the speed changes from v to v + dv, with deflection dθ. We have oriented the coordinate system orthogonal to the wave.
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In fluid dynamics, an isentropic flow is a fluid flow that is both adiabatic and reversible. That is, no heat is added to the flow, and no energy transformations occur due to friction or dissipative effects. For an isentropic flow of a perfect gas, several relations can be derived to define the pressure, density and temperature along a streamline.