Derive a formula for the momentum force acting on a stream tube due to velocity variation.
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[Hydraulics]
Derive a formula for the momentum force acting on a stream tube due to velocity variation.
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- Hello i have an example with an answer , please show the solution since only the answer was shown in this example. And i need its solution to review properly. Thank you 1.Question : An existing pump is used to pump water with the following data at BEP: D = 2.15 in, N = 1784 rpm, ρ = 998 kg/m3, Q = 18 gpm, H = 4.2 ft. A larger pump is to be designed based from the existing one to be used for pumping slurry (ρ = 1220 kg/m3) such that its best efficiency point occurs as close as possible to a volume flow rate of 48 gpm and at a net head of 15 ft. Calculate the new pump diameter in inches. Round off your final answer to 3 decimal placesAnswer: 2.554You only know one point on a pump curve, where a water pump produces 20 m of hydraulic head at flow rate of 3.67 L/s, and you want to use this to pump water from a lower tank to an upper tank located 15 m higher. Both tanks are open to the atmosphere. Briefly explain your reasoning, in 1‐2 sentences, for each of the following. a) Should this pump be placed next to the lower tank or the higher one? b) Given the data point you have from the pump curve, will the flow rate be higher or lower than 3.67 L/s if the water is pumped exactly 15 m uphill?Explain with the aid of diagram the action of the hydraulic press The following data pertains to a hydraulic press: The diameters of the plunger and ram are 50 mm and 0.5 m respectively. The ram is 1.75 m below the plunger and the mass density of the liquid in the hydraulic press is 820 kg/m³. The mass of the plunger and the ram are 6 kg and 400 kg respectively. The plunger is forced vertically down by a lever with a mechanical advantage of 6 to 1 onto which a force of 800 N is applied. The ram moves upwards when the plunger moves downwards. Determine the maximum lifting force exerted by the ram.
- The original design of a hydraulic turbine has data as follows: flow rate of 1 cumex, effective head of 50 m, and runner diameter of 1.5 m. If the same turbine design is to be used in another application where the available flow is 2.5 cumex and effective head is 75 m, what would be the runner diameter (in meters) for this new application?(20) Question 2 A hydraulic motor is directly coupled to the drum of a belt conveyor. The drum diameter is 0.75 m, the conveyor belt moves at a speed of 3 m/s and the motor must transfer a torque of 995 Nm to the drum. Assume the pressure drop across the motor is 22 MPa and that the motor has an overall and mechanical efficiency of 0.92 and 0.96 respectively. Determine the displacement volume of the motor, the flow rate required in litres per second and the hydraulic power supplied to the motor.The wind turbine gives the following data: Blade length, l = 39 m, Wind speed, V= 12.4 m/s, Air density, ρ = 1.23 kg/m3 , Power Coefficient, Cp = 0.39, Calculate the power available in the wind.
- Water flows through a rubber hose 2 cm in diameter at a velocity of 4 m/s. (a) What must be the diameter of the nozzle in order that the water emerge at 16 m/s? (b) What is the rate of flow in cu.m per minute?What will be the diameter (in mm) of a waterjet, the pressure inside which is 0.00221 N/cm2 greater than the outside pressure? (Take surface tension as 0.075 N/m)A manufacturer of small water pumps lists the performance data for a family of its pumps as a parabolic curve fit, Havailable = H0 − aV.2 , where H0 is the pump’s shutoff head and a is a coefficient. Both H0 and a are listed in a table for the pump family, along with the pump’s free delivery. The pump head is given in units of feet of water column, and capacity is given in units of gallons per minute. (a) What are the units of coefficient a? (b) Generate an expression for the pump’s ree delivery V.max in terms of H0 and a. (c) Suppose one of the manufacturer’s pumps is used to pump water from one large reservoir to another at a igher elevation. The free surfaces of both reservoirs are exposed to atmospheric pressure. The system curve simplifies to Hrequired = (z2 − z1) + bV.2 Calculate the operating point of the pump (V. operating and Hoperating) in terms of H0, a, b, and elevation difference z2 − z1.
- A certain centrifugal pump was tested and its performance curves can be approximated as follows: H = 340 - 1.2(Q2), in feet BP = (0.0521Q3) + (1.25Q2) + (11.042Q) + 134.5, in horsepower where Q is in ft3/s. If two of this pump is connected in series to deliver water to a system whose head requirement is 615 ft, what will be the operating discharge rate in ft3/s of either pumps?A fan manufacturer rates his fans at 152 mm water gage static pressure for 10 m² of air per second at 21°C, 1,200 rpm and static efficiency of 69%. At what speed, in RPM, would these fans operate to develop 130 mm water gage when the temperature is 316°C?Prototype of a mixed flow mini heart support pump at n1= 11000 rpmthe manometric pressure height is 100 mmHg, the flow rate of the blood-like liquid it pumps is 5.5 l/min and the efficiency is 9%. The relative density of this liquid is 1.06. It can be assumed that yields have not changed.a) find the power of the pump at this speed (n1).b) if the speed of this pump is reduced to n2 = 8000 rpm, what is the flow rate, manometric pressure height and power?