In Polytropic process the product of Pressure and Volume (PV) power 'n' is constant where, 'n' is polytropic index
the value of polytropic exponent "n" in reversible process will vary from 1 to adiabatic constant "gamma"
The polytropic index in thermodynamics is a measure of how a gas behaves during a polytropic process, where pressure and volume change. It indicates the relationship between pressure and volume changes in the process. The value of the polytropic index affects the efficiency and work done in the process. A higher polytropic index means more work is done, while a lower index means less work is done.
An example problem of a polytropic process is when a gas undergoes compression or expansion while its pressure and volume change, following a specific mathematical relationship known as a polytropic equation.
The value of the polytropic exponent 'n' in a reversible polytropic process typically varies between 0 and ∞. However, common values for n are between 0 (isobaric process) and 1 (isothermal process) for ideal gases.
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A polytropic process is a process where ( P ) ( V )^n is maintained throughout the process; commonly a compression or an expansion. The n is called the polytropic exponent and is often between 1.0 and k , the specific heat ratio. For a reversible, polytropic, and nonflow process : WB = [ ( P2 ) ( V2 ) - ( P1 ) ( V1 ) ] / [ 1 - n ] or WB = [ 1 / 1 - n ][ ( P1 ) ( V1 ] [ ( P2 / P1 )^B - 1 ] B = ( n - 1 ) / ( n ) For a reversible, polytropic, and steady flow process : WSF = [ n / 1 - n ] [ ( P1 ) ( V1 )] [ ( P2 / P1 )^B - 1 ] B = ( n - 1 ) / ( n )
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Polytropic work refers to the work done in a process where the relationship between pressure and volume follows a specific power-law equation (P*V^n = constant). It is commonly encountered in compressible flow systems and is expressed as the area under the curve on a P-V diagram for a polytropic process.
Thermodynamic polytropic processes are processes that can be described using the polytropic equation ( PV^n = C ), where ( P ) is pressure, ( V ) is volume, ( N ) is the polytropic exponent, and ( C ) is a constant. These processes can encompass a range of behaviors, from isobaric to isothermal to adiabatic processes, depending on the value of the polytropic exponent.
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