When a fluid flows through a constriction in a pipe,

Show and expalin all steps in solution.Iso-butane at initial temperature of 10C is flowing with the entry velocity of 5 ft/s inside the pipe of 2 inch diameter. At the exit the diameter of the pipe is enlarged to 5 inches. The height change from the initial to final stage is 2 ft. Local gravity is 32.0 ft/s2. The initial pressure is 1.5 bar.  Make a Temperature-Volume  plot showing all pressures, temperatures and stages. What is mass flow rate in lbm/s? Use NIST to find the density at the inlet. What is the exit velocity of the stream in ft/s if the temperature of the iso-butane is the same, but pressure drops to 1.45 bar?  What is internal energy change?  Was heat added or removed from the pipe?

q; = K(P; − P;) - qj q; = K(P; - P;) where qi and q; are fluid flow at nodes i and j, respectively; P; and P; are fluid pressure at nodes i and j, respectively; and K is K = πD4 128μL where D is the diameter of the piper, μ is the viscosity, and L is the length of the pipe. The fluid flow is considered positive away from the node. The viscosity of the fluid is 9×10+ Pa's. a. Write the element matrix equation for the flow in the pipe element. b. The net flow rates into nodes 1 and 2 are 10 and 15 m³/s, respectively. The pressures at the nodes 6, 7, and 8 are all zero. The net flow rate into the nodes 3, 4, and 5 are all zero. What is the outflow rate for elements 4, 6, and 7? Q1 2 1 3 (4) 4 10 5 6 7 Elem 1 2 3 4 5 6 7 D(mm) 40 40 50 25 40 25 25 L(m) 1 1 4 2 3 3 8

In flow separation, wake is defined as the region of flow trailing the body where the effects of the body on velocity are felt. True or false A pitot tube is used to measure only pressure head in a pipe flow. True or false The depth for nonuniform flow conditions is called normal depth. True or false Nozzles are flow devices used to accelerate a fluid stream by increasing the cross-sectional area of the flow. True or False For Poiseuille flow in a channel, the velocity profile is circular. True or false