Problem 3: Control Volumes When a water jet strikes a stationary inclined plate, it breaks into two jets at 2 and 3 with equal velocity Vjet but unequal volumetric flow rates (aQ at 2 and (1 - a) Q at 3, where 0 ≤ a ≤ 1). The reason is that, for frictionless flow, a fluid cannot exert a tangential force on the plate (i.e., Ft = 0). (1) Find a as a function of the plate angle 0. (2) Find the magnitude of the force Fr required to hold the plate stationary for 0 = π/4, V₁ = 3 m/s, when the mass rate flowing out of the nozzle is of m = 0.5 kg/s. αρ, ν (2) P, Q, A, V Fn F₁ = 0 (1-α) Q, V Figure 3: Water jet hitting a stationary inclined plate.

Q1. Converging duct at steady one dimensional flow, Inlet section: p = 2.35 kg-m³, A = 0.59 m², v = 41 m-s1, Exit section: p = 1.96 kg-m, A = 0.09 m². Find exit velocity. Q2. Gas turbine engine, m°, Section 1: A =0.46 m?, v = 259 m-s1, T = 303 K, p= 72 kPa Section 2: A =0.41 m?, v = 251 m-s1, T = 305 K, p= 70 kPa m°p = 0.247 m°1, find m°? Q3: Diverging channel, Section 1: A =0.73 m?, v = 7.7 m-s1, p = 1.23 kg-m3 Section 2: A =1.24 m?, v = 2.7 m-s1, p = 1.41 kg-m3 1. Determine the flow is compressible or not? 2. Determine the flow is steady or not? Q4: Air in rigid tank at volume = 0.73 m³, p = 485 kPa, T = 40 C°. A hole in the tank has 89 mm?, velocity of air from it = 355 m-s1. Determine the rate of change of density?

Water from a large reservoir drives a turbine, and exits as a free jet from a pipe of diameter D. The jet is deflected by a vane, and the horizontal force required to hold the vane is F directed to the left. Given: h = 40m, D = 0.15m, 0 = 30°, F, = 1500N, and Pw = 1000 kg/m³. Assume velocity magnitude at exit of vane is equal to that at entrance. If all losses are negligible, calculate: (a) The power developed by the turbine in kW. (b) The pressure difference across the turbine, and express it as a head (m). h Figure 1: Problem 2, A sketch (not-to-scale) Equations used must be labeled appropriately: conservation of mass, principle of linear momentum, principle of angular momentum, or first law of thermodynamics. Control volumes must be drown and clearly defined. List all assumptions.

Q6: Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in Figure, the pressure is Pi = 1.75 x 10* Pa and the pipe diameter is 6.0 cm. At another point y = 0.25 m higher, the pressure is P2 = 1.20 x 10* Pa and the pipe diameter is 3.0 cm. Find the speed of flow (a) in the lower section and (b) in the upper section. (c) Find the volume flow rate through the pipe. P2 من ۲

Q.4 A horizontal - shaft centrifugal pump lifts water at 65°C. The suction nozzle is one meter below pump centerline. The pressure at this point equals 200 kPa gauge and velocity is 3 m/s. Steam tables show saturation pressure at 65°C is 25 kPa, and specific volume of the saturated liquid is 0.001020 m/kg. The pump Net Positive Suction Head (NPSH) in meters is

pls replyy Gasoline (SG-0.7) flows down an inclined pipe whose upper and lower sections are 90 mm (section 1) and 60 mm (section 2) in diameter respectively. The pressure and velocity in section 1 are 280 kPa and 2.3 m/s respectively. If the difference in elevation between the 2 sections is 2.5m, find the pressure at point 2.

Water with a density of 1 g/cm³ flows through a horizontal pipe. The pipe cross-section tapers from 80 cm² to 40 cm² at a reducer. The static pressure before the reducer is 4 bar and the flow velocity is 4 m/s. The flow is incompressible and frictionless (inviscid). What static pressure is measured after the reducer?

Air flows through a compressor under steady flow conditions. At suction V1=0.75m3/kg, v1=30m/s At discharge: V2=0.25m3/kg, v2=40m/s.. Determine the diameter ratio of the discharge pipe to that of the suction pipe. (Ans. 1:2)

Example (1-1): Find the force exerted by a 5 cm diameter water jet directed against a flat plate held normal to the exit of stream. The velocity of the jet is 35 m/s. Example (1-2): A 2.5 cm diameter water jet exerts a force of 90 kN in the direction of flow on a flat plate which is held inclined at an angle of 30° with the axis of stream. Find the rate of flow.

Air fl ows through a variable-area duct. At section 1, A1 =20 cm2, p1 = 300 kPa, ρ1 = 1.75 kg/m3, and V1= 122.5 m/s.At section 2, the area is exactly the same, but the density ismuch lower: ρ2 = 0.266 kg/m3 and T2 = 281 K. There is notransfer of work or heat. Assume one-dimensional steady flow.(a) How can you reconcile these differences? (b) Find the massflow at section 2. Calculate (c) V2, (d ) p2, and (e) s2 - s1.[Hint: This problem requires the continuity equation.]