Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 6, Problem 105P
To determine
The reaction force in horizontal direction required to hold the hose.
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6-22 A 90° elbaw is used to direct water flow at a rate of
25 kgis in a horizontal pipe upward. The diameter of the
entire elbow is 10 cm. The elbow discharges water into the
atmosphere, and thus the pressure at the exit is the local
atmospheric pressure. The elevation difference between the
centers of the exit and the inlet of the elbow is 35 cm. The
weight of the elbow and the water in it is considered to be
negligible. Determine (a) the gage pressure at the center of
the inlet of the elbow and (b) the anchoring force needed to
hold the elbow in place. Take the momentum-flux correction
factor to be 1.03.
35 cm
Water
25 kg/s
An open reservoir on ground level is used to store
water to be pumped up to an overhead tank (also
open) 200 ft ave ground. Calculate the work done
by the pump (in J/kg) to give an exit velocity of 40
m/s. Ignore friction and use alpha = 1.00.
Evaluate the pressure term Evaluate he kinetic
energy term Evaluate the potential energy term
Hence calculate the work done by the pump What
minimum power of pump (in KW) would be
needed to provide a mass flowrate of 0.27 kg/s
Training
1. Determine the power delivered by the pump in kW
2. Determine the pressure head at
point 2 in meters.
3. Determine the pressure head at point 1 in meters
Thanks
Chapter 6 Solutions
Fluid Mechanics: Fundamentals and Applications
Ch. 6 - Express Newton’s second law of motion for rotating...Ch. 6 - Express Newton’s first, second, and third laws.Ch. 6 - Is momentum a vector? If so, in what direction...Ch. 6 - Express the conservation of momentum principle....Ch. 6 - How do surface forces arise in the momentum...Ch. 6 - Explain the importance of the Reynolds transport...Ch. 6 - What is the importance of the momentum-flux...Ch. 6 - Write the momentum equation for steady...Ch. 6 - In the application of the momentum equation,...Ch. 6 - Two firefighters are fighting a fire with...
Ch. 6 - A rocket in space (no friction or resistance to...Ch. 6 - Describe in terms of momentum and airflow how a...Ch. 6 - Does it take more, equal, or less power for a...Ch. 6 - In a given location, would a helicopter require...Ch. 6 - Describe body forces and surface forces, and...Ch. 6 - A constant-velocity horizontal water jet from a...Ch. 6 - A horizontal water jet of constant velocity V from...Ch. 6 - A horizontal water jet from a nozzle of constant...Ch. 6 - A 2.5-cm-diameter horizontal water jet with a...Ch. 6 - A 90 elbow in a horizontal pipe is used to direct...Ch. 6 - Repeat Prob. 6-20 for the case of another...Ch. 6 - A horizontal water jet impinges against a vertical...Ch. 6 - Water enters a 7-cm-diameter pipe steadily with a...Ch. 6 - A reducing elbow in a horizontal pipe is used to...Ch. 6 - Repeat Prob. 6-24 for the case of = 125°.Ch. 6 - A 100-ft3/s water jet is moving in the positive...Ch. 6 - Reconsider Prob. 6-26E. Using appropriate...Ch. 6 - Commercially available large wind turbines have...Ch. 6 - A fan with 24-in-diameter blades moves 2000 cfm...Ch. 6 - A 3-in-diameter horizontal jet of water, with...Ch. 6 - Firefighters are holding a nozzle at the end of a...Ch. 6 - A 5-cm-diameter horizontal jet of water with a...Ch. 6 - Prob. 33PCh. 6 - A 3-in-diameter horizontal water jet having a...Ch. 6 - An unloaded helicopter of mass 12,000 kg hovers at...Ch. 6 - Prob. 36PCh. 6 - Water is flowing through a 10-cm-diameter water...Ch. 6 - Water flowing in a horizontal 25-cm-diameter pipe...Ch. 6 - Prob. 39PCh. 6 - Water enters a centrifugal pump axially at...Ch. 6 - An incompressible fluid of density and viscosity ...Ch. 6 - Consider the curved duct of Prob. 6-41, except...Ch. 6 - As a follow-up to Prob. 6-41, it turns out that...Ch. 6 - Prob. 44PCh. 6 - The weight of a water tank open to the atmosphere...Ch. 6 - A sluice gate, which controls flow rate in a...Ch. 6 - A room is to be ventilated using a centrifugal...Ch. 6 - How is the angular momentum equation obtained from...Ch. 6 - Prob. 49CPCh. 6 - Prob. 50CPCh. 6 - Prob. 51CPCh. 6 - A large lawn sprinkler with two identical arms is...Ch. 6 - Prob. 53EPCh. 6 - The impeller of a centrifugal pump has inner and...Ch. 6 - Water is flowing through a 15-cm-diameter pipe...Ch. 6 - Prob. 56PCh. 6 - Repeat Prob. 6-56 for a water flow rate of 60 L/s.Ch. 6 - Prob. 58PCh. 6 - Water enters the impeller of a centrifugal pump...Ch. 6 - A lawn sprinkler with three identical antis is...Ch. 6 - Prob. 62PCh. 6 - The impeller of a centrifugal blower has a radius...Ch. 6 - An 8-cm-diameter horizontal water jet having a...Ch. 6 - Water flowing steadily at a rate of 0.16 m3/s is...Ch. 6 - Repeat Prob. 6-66 by taking into consideration the...Ch. 6 - A 16-cm diameter horizontal water jet with a speed...Ch. 6 - Water enters vertically and steadily at a rate of...Ch. 6 - Repeal Prob. 6-69 for the case of unequal anus-the...Ch. 6 - Prob. 71PCh. 6 - Prob. 72PCh. 6 - A spacecraft cruising in space at a constant...Ch. 6 - A 60-kg ice skater is standing on ice with ice...Ch. 6 - A 5-cm-diameter horizontal jet of water, with...Ch. 6 - Water is flowing into and discharging from a pipe...Ch. 6 - Indiana Jones needs So ascend a 10-m-high...Ch. 6 - Prob. 79EPCh. 6 - A walnut with a mass of 50 g requires a force of...Ch. 6 - Prob. 81PCh. 6 - Prob. 82PCh. 6 - A horizontal water jet of constant velocity V...Ch. 6 - Show that the force exerted by a liquid jet on a...Ch. 6 - Prob. 85PCh. 6 - Prob. 86PCh. 6 - Water enters a mixed flow pump axially at a rate...Ch. 6 - Prob. 88PCh. 6 - Water enters a two-armed lawn sprinkler along the...Ch. 6 - Prob. 91PCh. 6 - Prob. 92PCh. 6 - Prob. 93PCh. 6 - Prob. 94PCh. 6 - A water jet strikes a moving plate at velocity...Ch. 6 - Water flows at mass flow rate m through a 90°...Ch. 6 - Prob. 97PCh. 6 - Water shoots out of a Iar2e tank sitting a cart...Ch. 6 - Prob. 99PCh. 6 - Prob. 100PCh. 6 - Prob. 101PCh. 6 - Consider water flow through a horizontal, short...Ch. 6 - Consider water flow through a horizontal. short...Ch. 6 - Prob. 104PCh. 6 - Prob. 105PCh. 6 - Prob. 106PCh. 6 - The velocity of wind at a wind turbine is measured...Ch. 6 - The ve1ocity of wind at a wind turbine is measured...Ch. 6 - Prob. 109PCh. 6 - Prob. 110PCh. 6 - Prob. 111PCh. 6 - Consider the impeller of a centrifugal pump with a...Ch. 6 - Prob. 113PCh. 6 - Prob. 114P
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- The pipe elbow below discharges water at rate of SN/100 (m3/s) into the atmosphere at section 2. The total volume of the passage between sections 1 and 2 is equal to 0.2 m3 and the total mass of the elbow material between sections 1 and 2 is equal to 10 x SN (kg). Neglect any friction losses. Calculate the horizontal and vertical forces acting on the elbow. Also, calculate the resultant force and angle of force on the elbow. ****SN=21arrow_forwardThe figure shows a portion of a fire protection system in which a pump draws water at 60°F(v=1.21 x10-5 m² from a reservoir and delivers it to a point B at the flow rate of 1500 gal/min. Calculate the required height of the the water level in the tank in order to maintain 5.0 Psig pressure at point Aarrow_forwardA jet of 50mm diameter impinges on a curved vane and is deflected through an angle of 175 degree. The vane moves in the same direction as that of jet with a velocity of 35m/s. if the rate of flow is 170 L/s, determine the component of force on the vane in the direction of motion. How much would be the power developed by the vane and what would be the water efficiency? Neglect friction.arrow_forward
- The inlet and outlet diameters of a centrifugal impeller are 0.2m and 0.4m resp.the van angle at outlet 45 degree the pump speed is 1000 rpm.the normal velocity of radial flow through the impeller is constant at 3m/s.the entry of the water is at radial direction determine the van angle at inlet the absolute velocity at outlet and the net head produced by the pump 12:04 PM /arrow_forwarda water pump is to be used in a water supply system as shown in the figure. The pressure at point 1 is 70 kPaa and the pressure at point 2 is 101 kPaa. The velocity in the 60-mm pipe is 2 m/s. Find the pump power. Neglect friction, and assume no change of internal energy of the water and no heat transfer between point 1 and 2. Take the density of water at standard condition.arrow_forwardA horizontal water jet with a flow rate of V. and crosssectional area of A drives a covered cart of mass mc along a level and nearly frictionless path. The jet enters a hole at the rear of the cart and all water that enters the cart is retained, increasing the system mass. The relative velocity between the jet of constant velocity VJ and the cart of variable velocity V is VJ − V. If the cart is initially empty and stationary when the jet action is initiated, develop a relation (integral form is acceptable) for cart velocity versus time.arrow_forward
- The opening at point C is inclined at 45 degrees. Find the maximum height that the water can reach, measured from the datum line. Also, calculate the range.arrow_forwardWater (p = 1000 kg m3'H= 10-3 R) flows in a horizontal constant-area pipe; the pipe cross ms 1. section area of 0.1 m?. At the pipe inlet, a pump is installed and at the outlet, the pressure is atmospheric. Determine the pump power when the pipe length is 10 meter and a. When the velocity is 0.01 m/s b. When the velocity is 0.1 m/s and the pipe is smooth When the velocity is 0.1 m/s and the pipe equivalent roughness is 0.1 mm (you may use Moody chart here) d. When the pipe is smooth and vertical and the velocity is 0.1 m/s С.arrow_forwardwater enters the mixer through pipe A at a flow rate of 200 L/s, while oilenters through pipe B at 45 L/s. A homogeneous mixture of oil globules in water isformed and leaves though pipe C with a diameter of 0.25 m. Find the averagevelocity and density of the mixture leaving through pipe C. The oil has density of 800kg/m3..arrow_forward
- A reducing elbow is used to deflect water flow at a rate of 14 kg/s in a horizontal pipe upward 30°. The elbow discharges water into the atmosphere. The difference between the centers of the outlet and the inlet is 30 cm. The weight of elevation the elbow and the water in it is considered to be negligible. Determine the anchoring force (F) needed to hold the elbow in Rx place. Given that other force F acts on the elbow which is equal 500 N A=7 cm 2. A-113 cm 30 cmarrow_forwardWater enters a centrifugal pump axially at atmospheric pressure at a rate of 0.09 m3/s and at a velocity of 5 m/s, and leaves in the normal direction along the pump casing, as shown in Determine the force acting on the shaft (which is also the force acting on the bearing of the shaft) in the axial direction.arrow_forwardA water jet of an area of 0.03 m² impinges normal on a fixed plate. If a force of 1 kN is produced as a result of the impact, the velocity of the jet would bearrow_forward
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