EXERCISES

1. Water is flowing through a pipe having inlet and exit diameter of 25cm and 12cm respectively. If the velocity of water at inlet section is 5m/s, find the velocity head at exit and also rate of discharge.
2. Water flows at a rate 50Lts/s through a taper pipe of 80m length having diameters of 50 cm at upper end and 20 cm at the lower end. The pipe has a slope 1 in 30. Find the pressure at the lower end, if the pressure at higher level is 2 bar.
3. Brine is to be drained from the bottom of a large tank through a pipe. The drawn pipe ends at a point 10m below the surface of the brine in the tank. Considering a streamline starting at the surface of the brine in the tank and passing through the center of the drain line to the point of discharge, calculate the velocity of flow along the streamline at the point of discharge from the pipe.
4. In open circuit wind tunnel draws from atmosphere through a contoured nozzle. In the test section, where the flow is straight and nearly uniform, a static pressure tap is drilled into tunnel wall. A manometer connected to the tap shows that static pressure within the tunnel is 45mm. of water below atmospheric. Assume that air is incompressible and at 25⁰ C, pressure of 100kPa (absolute). Calculate the velocity of water in the wind tunnel section. Take density of water as 999kg/m³ , and characteristic gas constant as 287J/kg K.
5. or a smooth inclined pipe of uniform diameter of 280mm, a pressure of 80kPa was observed at the inlet section. The velocity and pressure at the exit section was found to be 1.5 m/s and 30kPa respectively. If the inlet and exit section of the pipe are at an elevation at 8m and 14m respectively, find the head loss between two sections and direction of flow.