High velocity gas flow in pipes with friction
The following discussion deals with the case of a relative high velocity gas flow through a perfectly insulated adiabatic pipe. The pipe has a constant, but not necessarily circular cross-section.…
Variation in area for isentropic flow
In many engineering devices used in the natural gas industry, the flow of a gas may be either accelerated or decelerated. Different kinds of orifices and nozzles are used to…
Critical flow variables
For compressible flows two regions of different behavior can be recognized depending on the Mach number. If the flow velocity is smaller than the local speed of sound, i.e.
Dynamical similarity of ideal gas flows
The non-linear nature of Euler’s equation may cause serious mathematical difficulties when solving a problem on the flow of ideal gas. Numerical methods may occasionally be applicable, but sometimes experimental…
Small perturbations at the speed of sound
In a great number of engineering problems one is interested in the perturbation of a given flow. The motion of the perturbations relative to the fluid is called the wave…
The Vazsonyi-Crocco equation
Now we shall determine the relationships between the kinematic and thermal variables for an ideal perfect gas flow. We restrict our considerations to the case of steady flow only. Euler's…
The law of conservation of energy for perfect fluid flow
It was previously shown, that the Bernoulli equation expresses the conservation of mechanical energy for the flow of a perfect fluid, provided that the body forces are conservative, and the…
Kelvin’s vortex theorem
As it is known, circulation around any closed curve in the fluid is defined by the Integral An important consequence of Kelvin’s theorem is that if an inviscid barotropic fluid…
Simple applications of the Bernoulli equation
There is a rather large range of problems in fluid mechanics to which the perfect fluid model can be successfully applied, yielding solutions adequate for the petroleum engineer. One such…
