A cast iron pipe with 20 cm diameter and 15 mm wall thickness is carrying water from a reservoir. At the end of the pipe a valve is installed to regulate the flow. The following data are available: e = 0.15 mm (absolute roughness), L = 1500 m (length of pipe), Q = 40 /sec (design flow), K = 2.1 x 109 N/m2 (bulk modulus of water), E = 2.1 x 1011 N/m (modulus of elasticity of cast iron), = 0.25 (poisson s ratio), = 1000 kg/m3 T = 15 C. %3D Find AP, AH, fe , and fi due to the water hammer produced for the following cases: b) Assuming elastic pipe when t. = 10 seconds, and to = 1.5 seconds, if: 3. the pipe has expansion joints. c) Draw the time history of the pressure wave for the case (b-3) at: 1. a point just to the left of the valve, and 2. a distance x = 0.35 L from the reservoir. d) Find the total pressure for all the cases in (b-3). Valve Ho : 13 m A cast iron pipe with 20 cm diameter and 15 mm wall thickness is carrying water from a reservoir. At the end of the pipe a valve is installed to regulate the flow. The following data are available: e = 0.15 mm (absolute roughness), L = 1500 m (length of pipe), Q = 40 /sec (design flow), K = 2.1 x 109 N/m2 (bulk modulus of water), E = 2.1 x 1011 N/m (modulus of elasticity of cast iron), = 0.25 (poisson s ratio), = 1000 kg/m3 T = 15 C. %3D Find AP, AH, fe , and fi due to the water hammer produced for the following cases: b) Assuming elastic pipe when t. = 10 seconds, and to = 1.5 seconds, if: 3. the pipe has expansion joints. c) Draw the time history of the pressure wave for the case (b-3) at: 1. a point just to the left of the valve, and 2. a distance x = 0.35 L from the reservoir. d) Find the total pressure for all the cases in (b-3). Valve Ho : 13 m A cast iron pipe with 20 cm diameter and 15 mm wall thickness is carrying water from a reservoir. At the end of the pipe a valve is installed to regulate the flow. The following data are available: e = 0.15 mm (absolute roughness), L = 1500 m (length of pipe), Q = 40 /sec (design flow), K = 2.1 x 109 N/m2 (bulk modulus of water), E = 2.1 x 1011 N/m (modulus of elasticity of cast iron), = 0.25 (poisson s ratio), = 1000 kg/m3 T = 15 C. %3D Find AP, AH, fe , and fi due to the water hammer produced for the following cases: b) Assuming elastic pipe when t. = 10 seconds, and to = 1.5 seconds, if: 3. the pipe has expansion joints. c) Draw the time history of the pressure wave for the case (b-3) at: 1. a point just to the left of the valve, and 2. a distance x = 0.35 L from the reservoir. d) Find the total pressure for all the cases in (b-3). Valve Ho : 13 m