Natural gas flows through a 0075 m diameter pipeline which h

Natural gas flows through a 0.075 m diameter pipeline, which has a length of 750 m. The How is steady and the natural gas has a specific heat ratio (gamma) of 1.3. The flow can be assumed isothermal with a temperature of 15 degree. The Mach number and static pressure at the inlet are 0.09 and 900 kPa. respectively. If the friction factor for the flow is 0.002. and the exit Mach number is 0.2435. please calculate the exit static pressure [kPa].

Solution

This can derived by using equation pressure difference =p-coefficient of friction -length - v²/2d here density and velocity to be derived by putting formula Mach number M=V/a and p/p_{1=(1+y-1/2 M²)^-1/y-1}.