Concept explainers
(a)
The rate of discharge through the slit.
Answer to Problem 94P
The rate of discharge through the slit is
Explanation of Solution
Given information:
The length of the slit is
Write the expression for velocity based on parabolic profile.
Here, the first constant is
Write the expression for flow rate of water.
Here, the elemental area is
Write the expression of elemental area.
Here, the width of the rectangular slit is
Write the expression of elemental flow rate of water.
Here, the elemental area is
Write the expression of the force acting on the element.
Here, the density of the fluid is
Calculation:
At the starting of the jet.
Substitute
At the end of the jet.
Substitute
Substitute
Substitute
Substitute
Substitute
Integrate Equation (VII) on both sides the change in length is
Conclusion:
The rate of discharge through the slit is
(b)
The vertical force acting on the pipe due to discharge process.
Answer to Problem 94P
The vertical force acting on the pipe due to discharge process is
Explanation of Solution
Calculation:
Substitute
Integrate equation (VIII) on both sides the change in length of the element is
Conclusion:
The vertical force acting on the pipe due to discharge process is
Want to see more full solutions like this?
Chapter 6 Solutions
EBK FLUID MECHANICS: FUNDAMENTALS AND A
- A water jet has a diameter of 75mm and ahs a velocity of 15m/s. What is the horsepower exerted by the jet. ANSWER: 10hparrow_forward7:23 M When the level in the tark is 10 m above the centerlire of the outlet, how fst is the level in the tank falling? WouH 10 m (3) Weaeofferedsomepipes madeof arnew kindof plastic. Totest their roughress, we pump water throgha 0.0762 m pipe made of this material atanaverage velocity of 12.19 m/s The dbserved Faning friction factor is 0.0032. Estimate the absolute rougnessof this pdastic. (4) What pressure drop is required in order to pump water at 20°C through a pipe 25 am in diameter and lengh 1234 m at arte of 1.97 m2 sec? The pipe is harizrtal and contains four stadrdradius 90° elbows and two 45° elbows. (A standard-radius 90° elbow isroughly equivalert to the resistance offered by apipeof length 32 diameters a 45° elbow, 15 diameters) (5) Cansider the steedy-state flow of animompressible Newtonian fluid througha hrizartal tube f irner radius Radlength L, sshown belpw: Findthe velocity distribution in the liquid Neglect end effects. Page|2 End I Recommended Share Extract Pages…arrow_forwardThe pump is used to transfer fluid from one location to another of different height. At inlet and outlet atmospheric conditions are present. The pipe diameter increases after the pump outlet. Determine all the surviving terms of energy equation after simplification. FUM kinetic energy, potential energy, pipe losses none pipe losses, potential energy, pressure increase pressure increase, pipe losses, potential energy kinetic energy, pressure increase, pipe losses OOOarrow_forward
- A calibration test of a 2.5cm circular sharp edged orifice in the vertical side of the large tank showed a discahrge of 590 N of water collected in 81 seconds, when under a constant head of 4.70 m. In addition, measuremnt of the trajectory of the jet gave the following data: A point on the jet has the coordinates in cm (235, -30), with the orifice located at the origin of the rectangular coordinate system. Find the value of Cd.CHOICES a.0.989 b.0.98 c.0.629 d.0.636arrow_forwardA calibration test of a 2.5cm circular sharp edged orifice in the vertical side of the large tank showed a discahrge of 590 N of water collected in 81 seconds, when under a constant head of 4.70 m. In addition, measuremnt of the trajectory of the jet gave the following data: A point on the jet has the coordinates in cm (235, -30), with the orifice located at the origin of the rectangular coordinate system. Find the value of Cc a. 0.989 b. 0.98 c. 0.629 d. 0.636arrow_forwardA calibration test of a 2.5cm circular sharp edged orifice in the vertical side of the large tank showed a discahrge of 590 N of water collected in 81 seconds, when under a constant head of 4.70 m. In addition, measuremnt of the trajectory of the jet gave the following data: A point on the jet has the coordinates in cm (235, -30), with the orifice located at the origin of the rectangular coordinate system. Find the value of Cd. Show your illustration if required in the problem. a.0.989 b.0.98 c.0.636 d.0.629arrow_forward
- A calibration test of a 2.5cm circular sharp edged orifice in the vertical side of the large tank showed a discahrge of 590 N of water collected in 81 seconds, when under a constant head of 4.70 m. In addition, measuremnt of the trajectory of the jet gave the following data: A point on the jet has the coordinates in cm (235, -30), with the orifice located at the origin of the rectangular coordinate system. Find the value of Cd. a.0.636 b.0.98 c.0.629 d.0.989arrow_forward6-58 Water is flowing into and discharging from a pipe U- section as shown in Fig. P6-58. At flange (1), the total absolute pressure is 200 kPa, and 30 kg/s flows into the pipe. At flange (2), the total pressure is 150 kPa. At location (3), 8 kg/s of water discharges to the atmosphere, which is at 100 kPa. Determine the total x- and z-forces at the two flanges connecting the pipe. Discuss the significance of gravity force for this problem. Take the momentum-flux correction factor to be 1.03. 8 kg/s -3 cm 22 kg/s + - f10 cm 30 kg/s 5 cmarrow_forward8-2 For this weird nozzle, what force would have to be applied through the bolts in the flange to hold the nozzle in place? Assume irrotational flow. Water is flowing, and the nozzle itself weighs 200 N. Apipe = 0.10 m² -40 cm- Vjet= 30 m/s Ajet = 0.01 m² V₁= 30 m/s A₁ = 0.01 m²arrow_forward
- A cylinder with a mass 0.222 kg is sliding downwards through a vertically positioned pipe. A thin oil layer exists between the cylinder and the pipe's internal surface. Centerline of the cylinder and the pipe overlap. (yoil =8044.2 N /m3 ; voil=6-106 m²/s). Find the change in the speed of cylinder in the pipe with respect to its unit displacement and the shear stress that acts upon the oil layer. A A L = 128 mm V W 73.8 mm 74 mm 0.1 mm Figure 1arrow_forwardQ4) Water at 10°C flows from a large reservoir to a smaller one through a 5-cm-diameter cast iron piping system, as shown in Fig. Determine the clevation z, for a flow rate of 6 L/s. Note that Properties The density and dynamic viscosity of water at 10 e are p= 999.7 kg/m and p- 1.307 x10 kg/m s. Sharp-edged entrance, K = 05 Standard elbow, flanged K = 03 D-5 cm Gale valve. fully open K= 02- Control volume boundary CS CarnscamI TET s Exit. K - 1.06arrow_forwardThevelocity components in thex and y directions are given by u = Ary3 – x²y, v = xy? -÷y*. The value of 1 for a possible flow field involving an incompressible fluid isarrow_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