Basics 2 min read
Alternatives to Petroleum
In 2008, the top 15 oil consuming nations used nearly 60 million barrels of oil per day. The United States…
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Kinematics of motion of singular surfaces: the speed of displacement
To determine the speed of displacement of a moving singular surface consider a surface as shown in Fig. 5.3. Let the points on…
Basics 3 min read
Shock surfaces
It is a rather common phenomenon that abrupt changes occur at the bounding surface of a fluid mass. This happens…
Basics 2 min read
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.…
Basics 2 min read
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…
Basics 1 min read
Critical flow variables
For compressible flows two regions of different behavior can be recognized depending on the Mach number. If the flow velocity…
Advanced Concepts 2 min read
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…
Advanced Concepts 1 min read
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…
Advanced Concepts 1 min read
The Vazsonyi-Crocco equation
Now we shall determine the relationships between the kinematic and thermal variables for an ideal perfect gas flow. We restrict…
Basics 1 min read
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…
Basics 1 min read
Kelvin’s vortex theorem
As it is known, circulation around any closed curve in the fluid is defined by the Integral An important consequence…