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A polytropic process is a thermodynamic process that obeys the relation: = where p is the pressure , V is volume , n is the polytropic index , and C is a constant. The polytropic process equation describes expansion and compression processes which include heat transfer.
Neutron stars are well modeled by polytropes with index between n = 0.5 and n = 1. A polytrope with index n = 1.5 is a good model for fully convective star cores [5] [6] (like those of red giants), brown dwarfs, giant gaseous planets (like Jupiter). With this index, the polytropic exponent is 5/3, which is the heat capacity ratio (γ) for ...
The index is the polytropic index that appears in the polytropic equation of state, = + where and are the pressure and density, respectively, and is a constant of proportionality. The standard boundary conditions are θ ( 0 ) = 1 {\displaystyle \theta (0)=1} and θ ′ ( 0 ) = 0 {\displaystyle \theta '(0)=0} .
A polytropic process, in particular, causes changes to the system so that the quantity is constant (where is pressure, is volume, and is the polytropic index, a constant). Note that for specific polytropic indexes, a polytropic process will be equivalent to a constant-property process.
A polytropic process is a thermodynamic process that obeys the relation: P V n = C , {\displaystyle PV^{\,n}=C,} where P is the pressure, V is volume, n is any real number (the "polytropic index"), and C is a constant.
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Q H = W + Q C = heat exchanged with the hot reservoir. η = W / (Q C + Q H) = thermal efficiency of the cycle If the cycle moves in a clockwise sense, then it is a heat engine that outputs work; if the cycle moves in a counterclockwise sense, it is a heat pump that takes in work and moves heat Q H from the cold reservoir to the hot reservoir.
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