Momentum Transport Assignment - 2024 PDF

MOMENTUM TRANSPORT ASSIGNMENT Due 2/04/2024 1. Fluid is flowing at steady state through a reducing pipe bend, as shown in Fig. 1. Turbulent flow will be assumed with frictional forces as negligible. The volumetric flow rate...

MOMENTUM TRANSPORT ASSIGNMENT Due 2/04/2024 1. Fluid is flowing at steady state through a reducing pipe bend, as shown in Fig. 1. Turbulent flow will be assumed with frictional forces as negligible. The volumetric flow rate of the liquid and the pressure P2 at point 2 are known as are the pipe diameters at both ends. Derive the equations to calculate the forces on the bend. Assume that the density p is constant. Fig. 1 Flow through a reducing bend 2. A siphon works by capitalizing on Bernoulli’s equation, where the flow is driven by the difference in potential energies between the inlet and outlet. Assuming that the flow is frictionless in the siphon below: (a) Calculate the rate of discharge (m3/s) at the outlet (b) Calculate the pressure head at B if the pipe has a uniform diameter of 0.31 m Fig. 2 3. A converging pipe bend changes the direction of the pipeline in a horizontal plane by 45° in the clockwise direction as shown in Fig.3. The pipeline diameter reduces from 300 mm to 200 mm in the flow direction. The pressure reading and the velocity at the smaller diameter are recorded as 140.00 kPa and 3.20 m/s, respectively. i) Calculate the volumetric flow rate using the Continuity Equation. ii) Prove that the pressure difference between the two pipe ends is 2.85% using Bernoulli's principle. iii) Determine the magnitude and the direction of force on the bend due to the moving water. Fig. 3