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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.
The normalized density as a function of scale length for a wide range of polytropic indices. In astrophysics, a polytrope refers to a solution of the Lane–Emden equation in which the pressure depends upon the density in the form = (+) / = + /, where P is pressure, ρ is density and K is a constant of proportionality. [1]
A polytropic process is a thermodynamic process that obeys the relation: ... This equation can be used to accurately characterize processes of certain systems, ...
The table below essentially simplifies the ideal gas equation for a particular process, making the equation easier to solve using numerical methods. A thermodynamic process is defined as a system that moves from state 1 to state 2, where the state number is denoted by a subscript.
Polytropic; Free expansion ... The above definition is the approach used to develop rigorous expressions from equations of ... process of a simple compressible ...
For a simple substance, during an adiabatic process in which the volume increases, the internal energy of the working substance must decrease. The mathematical equation for an ideal gas undergoing a reversible (i.e., no entropy generation) adiabatic process can be represented by the polytropic process equation [3]
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An isochoric process however operates at a constant-volume, thus no work can be produced. Many other thermodynamic processes will result in a change in volume. A polytropic process , in particular, causes changes to the system so that the quantity p V n {\displaystyle pV^{n}} is constant (where p {\displaystyle p} is pressure, V {\displaystyle ...