Water (p = 998 kg/m³), flows through an elbow that is attached to the wall at section 1, where the velocity is v₁ = 3.0 m/s. The diameter of the pipe at section 1 is d₁ = 8.0 cm. Water exits as a free jet at station 2, where the diameter is d2 =2.0 cm. (1)

Towards the inside of a cylindrical tank with diameter: D = 24 m, water flows through a tube 1 with a velocity v1 = 20 m / s and exits through tubes 2 and 3 with velocities v2 = 8 m / s and v3 = 10 m / s respectively. At 4 there is a vent valve open to the air from the atmosphere. (a) What is the speed with which the level rises of water in the tank? (b) what is the average velocity of the air flow at valve 4? assuming air is incompressible. Assume the following pipe diameters: D1 = 3 m, D2 = 2 m, D3 = 2.5 m, D4 = 2 m, consider that the density of water is: ρw = 103 kg / m3 , and the density of air is: ρa = 1.2 kg / m3

3. A pipe with varying cross-sectional areas is set up vertically as shown in the drawing. Water enters the pipe from the top wider end at a speed of 300 cm/s. Calculate (a) the mass flow rate of water (the amount of mass entering/exiting the piper every second) and (b) the water pressure at the bottom narrower end section of the piper. (Density of water is p = 1000 kg/m2 1.00 g/cm')) P 1.20x10 Pa 10.0 cm h=4.00 m 2.50 cm2 P= ?

= = Air flows radially outward between the two parallel circular plates shown in the figure below. The pressure at the outer radius, Ro 5 cm, is atmospheric. Find the pressure at the inner radius R¿ 0.5 cm, if the air density is constant, the air flow is inviscid, the volume flow rate is 4.0 L/s, and the plate spacing is h = 0.125 cm. h Po= Patm = 101.3 kPa T = 20°C 777 R₁ Ra

If the pressure head, velocity head and the potential head at a point in a fluid flow inside a pipeline are 2.1 m 1.9 m and the 4 m respectively, the Total head at that point is Om 6.1 m 8 m 4 m

A jet impinges on a splitter block. The incoming jet is horizontal and has a flow rate of Q1 = 8000 cm3/s and a cross-sectional area of A1 = 40 cm2. The block splits the jet in to two smaller jets. One is deflected upward by 45o, and has a flow rate of Q2 = 6000 cm3/s and a cross-sectional area of A2 = 30 cm2. The other jet is deflected downward by 45o, and has a flow rate of Q3 = 2000 cm3/s and a cross-sectional area of A3 = 10 cm2. You may assume that the pressure everywhere is equal to atmospheric pressure, and the density of the fluid is 1000 kg/m3. A)Find the horizontal momentum flux in, φ˙x,in B)Find the horizontal momentum flux out, φ˙x,out C)Find the horizontal force that the fluid exerts on the block FR,x

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?