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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 )
What else can I help you with?
What is constant in a polytropic process?
In Polytropic process the product of Pressure and Volume (PV) power 'n' is constant where, 'n' is polytropic index
What is the significance of the polytropic index in thermodynamics and how does it affect the behavior of a polytropic process?
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.
What is an example problem of a polytropic process?
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 polytropic exponent 'n' in the reversible polytropic process usually varies between?
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.
What is a polytropic work?
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.
What is constant in a polytropic process?
In Polytropic process the product of Pressure and Volume (PV) power 'n' is constant where, 'n' is polytropic index
What is the value of polytropic exponent n in reversible polytropic process?
the value of polytropic exponent "n" in reversible process will vary from 1 to adiabatic constant "gamma"
What is the significance of the polytropic index in thermodynamics and how does it affect the behavior of a polytropic process?
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.
What is an example problem of a polytropic process?
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 polytropic exponent 'n' in the reversible polytropic process usually varies between?
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.
What is a polytropic work?
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.
What are the thermodynamic polytropic processes?
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.
Derivation of polytropic equation of state?
See wikipedia article on polytropic processes.
What is net heat change in polytropic process?
In a polytropic process, the net heat change depends on the specific conditions of the process (e.g., if it is adiabatic or not, reversible or irreversible). In general, the net heat change can be calculated by comparing the heat added or removed during the process with the work done by the system.
Which process will lead to larger work output isothermal process or polytropic process with n1.25?
The process equation for this is PV up to the nth power which equals C. The polytrophic process is 1.25 which is the n in the equation.
What is hyperbolic process in thermodynamic process?
At engineering level technically both process are same except there definition both process give hyperbolic curve in P-V diagram and straight line in T-S diagram. and even in polytropic process PV^n=constant if n=1 then it is not hyperbolic process it is isothermal process even though the definition says pv=c is hyperbolic process.
What is the difference between isothermal and hyperbolic process?
At engineering level technically both process are same except there definition both process give hyperbolic curve in P-V diagram and straight line in T-S diagram. and even in polytropic process PV^n=constant if n=1 then it is not hyperbolic process it is isothermal process even though the definition says pv=c is hyperbolic process.
