Problem Statement:
A perfect gas flows isentropically through a nozzle. If the ratio of the nozzle exit to the throat is 3.0, and the exit Mach number is also 3.0, find the specific heats ratio of the gas.
Equation:01
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.
Equation 2:Mach Number
Mach number is calculated by finding the ratio of speed of an object to the speed of sound in the surrounding medium. Mach number is unitless (dimensionless quantity). The formula for calculating Mach number is M = v/c , where M is Mach number, v is the velocity of object (in meters per second, feet per second, etc.)
Calculator Developed By: Pawan Indalkar.
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