Problem (2): (i) Determine an appropriate seal type for the following applications: 1- a high speed, 100 mm diameter, rotating shaft for a gas turbine engine to limit the escape of air between the shaft and the stationary housing; 2- to completely seal the back face of a rotodynamic pump rotating at 2970 rpm; 3- to seal the faces of two mating flanges; 4-reciprocating shaft with low speed; 5-reciprocating shaft with high speed. (ii) Determine the flow rate of air through a labyrinth seal on a 150 mm diameter shaft. The labyrinth consists of 8 fins, height 4.5 mm, pitch 7 mm, radial clearance 0.5 mm and tip width 0.35 mm. The absolute pressures upstream and downstream of the seal are 2 bar and 1.01 bar respectively. The temperature of air upstream of the seal is 323 K. Take the gas constant R as 287 J/kg per Kelvin.