6-4 (1) 0.04 m Air flows through a Venturi channel of rectangular cross- section as shown. The constant width of the channel is 0.06 m, and the height at the exit is 0.04 m. Compressibility and viscous effects are negligible. (a) Determine the flow rate when water is drawn up 0.10 m in a small tube attached to the static pressure tap at the throat where the channel height is 0.02 m. (b) Determine the channel height, h2, at section (2) where, for the same flow rate as in part (a), the water is drawn up to 0.05 m. (c) Determine the pressure needed at section (1) to produce this flow. 0.10 m b = width = 0.06 m 10.02m Water (2) ₂ Air 0.05 m Q Free jet 0.04 m

Problem 5. A horizontal rough pipe with surface roughness of 1.5 × 104 m is used to transport pressurized air at a flow rate of 7 × 102 m³/s. The design guidance requires that the pressure drop must be no more than 4.2 kPa per 50 m length of the pipe. Determine the minimum diameter of the pipe

Water is being pumped the through one inch diameter piping arrangement to a higher elevation (5 meters up). Assume incompressible fluid conditions and some heat losses to the surroundings. At the inlet water pressure is 1 bar, temperature 15C, and volumetric flow rate is 0.02 m3/s. At the exit pressure is 2.2 bar, temperature is 10C and velocity of the stream is 40 m/s. Determine: a.Density of the inlet stream using NIST tables.  b.Mass flow rate [kg/s] c.Determine h2 from known p2 and T2 using NIST tables d.Find heat rate removed from Q=m(h1-h2) Use Energy Balance Equation with enthalpy difference and in the units of kW to find pumping power in kW. NOTE: The heat is removed from the system, so it should be negative in your equation! show all steps please

Tank 1 Tank 2 g Question 1 Consider the flow of water (p= 10³ kg/m³, u = 10³ Pa-s) from tank 1 to tank 2. A centrifugal pump is installed in this piping system with length L = 300 m and diameter D = 40 cm cast-iron pipe. The water surface of tank 1 is 15 m higher than the water surface of tank 2. You may neglect minor losses but not major losses. The gravity cannot be neglected. Assume steady-state and no friction in the tanks. (a) Simplify the equation of the system curve Ap vs Q. Do not place numerical data. (b) Plot the system curve Ap vs Q (0 ≤Q≤2 m³/s). (c) Find the volumetric flow rate when the pump is not operating. (d) Find the power supplied to the water and to the pump if n = 0.9 and 1 m³/s. (e) Consider a pump: Ap = 106 105 Q², where Ap in Pa and Q in m³/s. Find the operating point. What is the minimum and maximum volumetric flow rate that this pump can deliver?