Concept explainers
Air is flowing through a venturi meter whose diameter is 2.6 in at the entrance part (location 1) and 1.8 in at the throat (location 2). The gage pressure is measured 239 to be 12.2 psia at the entrance and 11.8 psia at the throat. Neglecting frictional effects, show that the volume how rate can be expressed as
The volume flow rate.
The flow rate of the air.
Answer to Problem 57EP
The volume flow rate can be expressed as
The flow rate of the air is
Explanation of Solution
Given information:
The inlet diameter of the venturimeter is
The figure below shows the different points of venturimeter.
Figure-(1)
Write the expression for Bernoulli's equation between the points
Here, the pressure at point
The point
Substitute
Write the expression for continuity equation at point
Here, the flow rate is
Write the expression for continuity equation at point
Here, the flow rate is
Write the expression for area of the inlet.
Here, the inlet diameter of the venturimeter is
Write the expression for area of the throat.
Here, the throat diameter of the venturimeter is
Calculation:
Substitute
Substitute
Substitute
Substitute
Conclusion:
The volume flow rate can be expressed as
The flow rate of the air is
Want to see more full solutions like this?
Chapter 5 Solutions
EBK FLUID MECHANICS: FUNDAMENTALS AND A
- A mercury manometer is attached to a vertical pipeline that transmits water, and the velocity is monitored using a pitot tube. Calculate the velocity of the water in the pipe if the variation in the manometer column is 15 cm. Mercury = 13560 kg/m3, water = 1000 kg/m3. ZI - Z2 2 |arrow_forwardA pump is discharging 12 liters/sec of water through 10 cm diameter pipe. When the pressure on the discharge side of the pump is 700 kPa, what pressure can be expected in the discharge pipe at a point 540 m distant from the pump and 45 m higher in elevation. Use n = 0.015.arrow_forwardThis is a fluid machine question. The pump draws water from a reservoir 4 m below the pump centerline. The length of pipe from the reservoir to the pump is 150 m and from the pump to the nozzle is 1500 m. The pipe diameters before and after the pump are 450 mm and 600 mm respectively. The pressure in the reservoir is 95 kPa and the vapor pressure of the fluid is 3.5 kPa. Use f=0.02. The pump is to operate such that the discharge will be the maximum possible. Determine the maximum rate at which water may be pumped from the reservoir?arrow_forward
- Air flows steadily at low speed through a horizontal nozzle (by definition a device for accelerating a flow), discharging to atmosphere. The area at the nozzle inlet is 0.1 m2. At the nozzle exit, the area is 0.02 m2. Determine the gage pressure required at the nozzle inlet to produce an outlet speed of 50 m/sarrow_forwardWater from a reservoir is pumped over a hill through a 450 mm diameter and an absolute pressure of 1.0 kg/cm2 is maintained at the summit. Water discharge is 30 m above the reservoir. The quantity pumped is 0.5 m3/s. Frictional losses in the discharge and suction pipe, and pump is equivalent to 1.5 m. The speed of pump is 800 rpm. Determine the following: a.Water power of the pump b.New value of discharge if the speed of the pump is increased to 1000 rpm c.New value of head if the speed of the pump is increased to 1000 rpm d.New value of power if the speed of the pump is increased to 1000 rpm Please solving using the methodology (Given, requires, schematic diagram, solution and discussion)arrow_forwardA pump has a 100 mm diameter suction pipe and a 75 mm discharge pipe. The capacity is 15 L/s of water. A water-mercury manometer is installed in the inlet which reflects a vacuum pressure of 198mm of Hg. The mereury level on the suction side is 100 mm below the pipe centerline. The pressure gauge 200 mm above the pump inlet recorded a pressure of 0.95 bar. The measured input power was 3.2 kW. Find the head added by the pump. Select the correct response(s): 13.14 m 24.13 m 11.13 m 27.14 marrow_forward
- Q#2 Air is flowing through a venture-meter whose diameter is 2.6 in at the entrance part (location 1) and 1.8 in at the throat (location 2). The gage pressure is measured to be 12.2 psia at the entrance and 11.8 psia at the throat. Neglecting frictional effects, show that the volume flow rate can be expressed as 2(P - P2) v = Ar p(1 – AIA}) and determine the flow rate of air. Take the air density to be 0.075 lbm/ft3. 12.2 psia 11.8 psia Air 2.6 in 1.8 inarrow_forwardFor the system shown below, calculate (a) the volume flow rate of water from the nozzle and (b) the pressure at point answer should be a. 58.1 Kpa b. 0.0213 m^3 / sarrow_forwardA pump has a 100 mm diameter suction pipe and a 75 mm discharge pipe. The capacity is 15 L/s of water. A water-mercury manometer is installed in the inlet which reflects a vacuum pressure of 198mm of Hg. The mercury level on the suction side is 100 mm below the pipe centerline. The pressure gauge 200 mm above the pump inlet recorded a pressure of 0.95 bar. The measured input power was 3.2 kW. Find the pressure at the suction. Select the correct response(s) -24 kPa -28 kPa -26 kPaarrow_forward
- A pump has a 100 mm diameter suction pipe and a 75 mm discharge pipe. The capacity is 15 L/s of water. A water-mercury manometer is installed in the inlet which reflects a vacuum pressure of 198mm of Hg. The mercury level on the suction side is 100 mm below the pipe centerline. The pressure gauge 200 mm above the pump inlet recorded a pressure of 0.95 bar. The measured input power was 3.2 kW. Find the pressure at the suction.arrow_forwardThe figure below shows a turbine with an inlet pipe and a draft tube. If the efficiency of the turbine is only 80 percent and the discharge of the water is 1000 litres per second. Calculate: (a) the power developed by the turbine: (b) The reading of the gauge G:arrow_forwardWater flows through an orifice at the vertical side of a closed cylindrical tank. The water level inside the tank remains constant at 3m and the pressure at the top of the tank is 30KPa. If the jet strikes the ground horizontally by 4.5m and below the vena contracta by 1m, determine the coefficient of velocity.arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY