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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.
A polytrope with index n = 3 is a good model for the cores of white dwarfs of higher masses, according to the equation of state of relativistic degenerate matter. [7] A polytrope with index n = 3 is usually also used to model main-sequence stars like the Sun, at least in the radiation zone, corresponding to the Eddington standard model of ...
In thermal physics and thermodynamics, the heat capacity ratio, also known as the adiabatic index, the ratio of specific heats, or Laplace's coefficient, is the ratio of the heat capacity at constant pressure (C P) to heat capacity at constant volume (C V).
Thermodynamic diagrams usually show a net of five different lines: isobars = lines of constant pressure; isotherms = lines of constant temperature; dry adiabats = lines of constant potential temperature representing the temperature of a rising parcel of dry air
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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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} .