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2. Dimensional analysis
The laws of similitude for compressible fluids lead to simple relationships only if the gas is ideally perfect: this assumption is retained in the rest of the development.
a perfect gas follows Joule's law: γ, c p = f (T ). An ideal perfect gas is often defined by: γ, c p = Cte.
Under these conditions, the operation of a compressible fluid turbomachine is defined by the following variables:
the machine's geometric dimensions, which are characterized by a reference lengthR ; this is often the wheel's outer radius ;
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the nature of the fluid, characterized by :
the perfect gas constant...
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The Ultimate Scientific and Technical Reference