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//Example 8-6 Head Loss and Pressure Rise during Gradual Expansion
D_1 = 6 //initial diameter of pipe [cm]
D_2 = 9 //increased diameter of pipe [cm]
V_1 = 7 //velocity of water before expansion section [m/s]
P_1 = 150 //pressure of water before expansion section [kPa]
theta = 10 //expansion section angle [degrees]
g = 9.81 //gravitational acceleration [m/s^2]
alpha_1 = 1.06 //kinetic energy correction factor
alpha_2 = 1.06
rho = 1000 //density of water [kg/m^3]