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
Water with a density of 1.94 slug/ft³ is in a cart. Water is ejected from the cart with a
velocity of 45 ft/s and a flow rate of 200 gal/min. It leaves at an angle of 60°. Assume
the water inside the cart is motionless.
a. Sketch the control volume
b. Find the force F required to keep the cart in place
45 ft/s
60°
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
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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 section 1 and 2 is equal to 0.2 m3 and the total mass of the elbow material between section 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=3+6+7+3+2= 21arrow_forwardThe 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_forwardA jet of water with a velocity of 30 m/s impinges on a series of smooth vanes, moving with a velocity of 12 m/s, at an angle of 30° to the direction of motion of vanes. The vane angle at outlet is 18°. Find i. the vane angle at inlet so that the water enters without shock ii. the absolute velocity of the water at exit, and iii. the work done on the vanes per unit weight of water per sec entering the vanes.arrow_forward
- The pipe elbow below discharges water at rate of SN/100 (m3/s) into the atmosphere at section 2 (where SN is the sum of your student number). The total volume of the passage between section 1 and 2 is equal to 0.2 m3 and the total mass of the elbow material between section 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_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_forwardWater enters the impeller of a centrifugal pump radially at a rate of 45 cfm (cubic feet per minute) when the shaft is rotating at 500 rpm. The tangential component of absolute velocity of water at the exit of the 2-ft outer diameter impeller is 110 ft/s. Determine the torque applied to the impeller and the minimum power input to the pumparrow_forward
- A 20 mm diameter pipe forks, one branch being 10 mm in diameter and the other 15 mm in diameter. If the velocity in the 10 mm pipe is 0.3 m/s and that in the 15 mm pipe is 0.6 m/s, caleulate the velocity in m/s and the rate of flow in m/s in the 20 mm diameter pipe.arrow_forwardCalculate (a) the mass flow rate through the system and (b) the force that is required to hold the vertical pipe configuration, as shown below, in place. The fluid in the pipe rises into the side branch tube to a height of 0.9 m. Assume that the weights of the vertical pipe configuration and the side branch attachment are negligible, the water between the jet between the orifice plate and the vena contracta weights 18N. The vena contracta is the position where all the streamline becomes parallel. 个 250 mm 0.9 m 225 mm 200 mm dia orifice 75 mm 150 mm dia, vena contractaarrow_forwardCalculate the resultant force required in kN to hold a 90° elbow in place when attached to DN 150 Schedule 40 pipes carrying water at 0.1768 m3/s and 1 050 kPa. Neglect energy lost in the elbow. Do not include direction for the final answer! NB: Assume a water density of 1000 kg/m3 and use appropriate appendix to obtain necessary data. Hint: Draw a diagram showing the pipe system with the bent at the bottom right corner, water flowing from left to right then up to help you analyse the problem. Sign Conversion: North (+) and West (+)arrow_forward
- Water (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_forwardA 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_forward
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