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 88P
To determine
The maximum power generated by the radial turbine.
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A 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,
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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.
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Water 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 pump
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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- i need the answer quicklyarrow_forwardWater with density 1000 kg/s enters a lawn sprinkler which is rotating at 500 RPM through its base at the steady rate of 1 L/s as shown. The exit area of each of the two nozzles is 30 mm^2 and the flow leaving each nozzle is in the tangential direction. The radius, r, from the axis of rotation to the centerline of each nozzle is 157 mm. The absolute velocity out of each nozzle in m/s is: Select one: a. 25.11 Nozzle exit area = 30 mm² Control volume b. 8.45 c. 83.33 Flow out Flow out Tshaftarrow_forwardWater with density 1000 kg/s enters a lawn sprinkler which is rotating at 500 RPM through its base at the steady rate of 1 L/s as shown. The exit area of each of the two nozzles is 30 mm^2 and the flow leaving each nozzle is in the tangential direction. The radius, r, from the axis of rotation to the centerline of each nozzle is 157 mm. The exit "relative" velocity out of each nozzle in m/s is: Select one: a. 83.33 Nozzle exit area = 30 mm² Control volume b. 16.67 c. 33.33 Flow out Flow out Ishaftarrow_forward
- An inward flow reaction turbine has external and internal diameters as 1.095 m and 0.553 m respectively. The turbine is running at 210 R. P. M. The velocity of flow through the runner remains constant and is equal to 2.0 m/s. The width of the turbine at inlet is 241 mm. The guide blades make an angle of 10.5oto the tangent of the wheel. If the discharge of the turbine at the outlet is radial determine the following:i) Draw the inlet and outlet velocity diagramsii) The absolute velocity of the water at the inlet of the runner.iii) The velocity of whirl at inletiv) The relative velocity at inletv) The runner blade anglesvi) Width of the runner at outletvii)The hydraulic efficiency of the turbinearrow_forwardPlease show all working outarrow_forwardA jet issued of water at the rate of 200 L/s and a velocity of 36 m/s strikes a blade moving in the same direction at 15 m/s. The deflection angle of the blade is 120°. Neglecting friction, determine: (a) the x- and y-components of the force exerted by the jet on the blade in N.; (b) the work done by the jet on the blade, in joules.arrow_forward
- Consider an inward flow reaction turbine in which velocity of flow at inlet is 3.8m/s. The 1m diameter wheel rotates at 240rpm and absolute velocity makes an angle of 16° with wheel tangent. Determine (1) velocity of whirl at inlet, (2) absolute velocity of water at inlet, (3) vane angle at inlet, and (4) relative velocity of water at entrance. Show the schematic diagram and complete solution with units.arrow_forwardA centrifugal pump of 1.5 m diameter runs at 210 rpm and pumps 1800 lit/sec. The angle which the vane makes, at exit, with the tangent to the impeller is 25°. Assuming radial entry and velocity of flow throughout as 2.5 m/sec, determine the power required to drive the pump. If manometric efficiency of the pump is 65%, whirl velocity at inlet:arrow_forward5. A nozzle connected to a long pipe is ejecting water of jet dia =d cm at a speed V m/s. Starting from the governing equation for momentum balance, derive a relation for thrust generated by the nozzle. The nozzle is at rest. Consider momentum correction factor for accounting for non-uniform flow at the nozzle exit. Pump pipe nozzle Tdarrow_forward
- 2. A horizontal jet of water having a velocity of 25 m/s, diameter=2 cm strikes an inclined straight blade moving in the direction opposite to the direction of jet with a velocity of 10 m/s. If the inclination of the blade is 15° with the horizontal, the force developed on the blade per kg of water per second in the direction of the flow will be: а. 196 b. 217 с. 274 d. 292 e. None of them.arrow_forwardThe internal and external diameter of the impeller of a centrifugal pump are 200 mm and 400 mm respectively. The pump is running at 1200 r.p.m. The vane angles of the impeller at inlet and outlet are 20° and 30° respectively. The water enters the impeller radially and velocity of flow is constant. Determine the work done by the impeller per unit weight of water.arrow_forwardI need the answer as soon as possiblearrow_forward
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