Helium gas from a storage tank at 1000 kPa and 310 K is flowing out through a convergent nozzle of exit area 3 cm2 to another tank.When the mass flow rate is 0.15 kg s−1, determine the
pressure in the second tank.
Solution Equations used:
2: Mach Number:
3:Pressure:
4: Isentropic Relations:
Isentropic relations are thermodynamic relationships that describe how a fluid behaves during an isentropic process. An isentropic process is a reversible adiabatic process where entropy remains constant.
Isentropic relations are important for analyzing the flow of compressible fluids, like gases, especially when there is no heat transfer or friction. They help predict how pressure, temperature, and density change in a flowing fluid without external heat sources or viscous effects.
The term “isentropic” comes from the Greek words isos, meaning equal, and entropia, meaning entropy. Entropy is a measure of disorder or randomness in a closed system.
In real-world applications, the isentropic process is an approximation because it’s not possible to completely isolate a system. However, the concept is useful for simplifying the analysis and calculation of various thermodynamic processes.