Fox and McDonald's Introduction to Fluid Mechanics
Fox and McDonald's Introduction to Fluid Mechanics
9th Edition
ISBN: 9781118912652
Author: Philip J. Pritchard, John W. Mitchell
Publisher: WILEY
bartleby

Concept explainers

bartleby

Videos

Textbook Question
100%
Chapter 10, Problem 1P

The geometry of a centrifugal water pump is r1 = 10 cm, r2 = 20 cm, b1 = b2 = 4 cm, β1 = 30°, β2 = 15°, and it runs at speed 1600 rpm. Estimate the discharge required for axial entry, the power generated in the water in watts, and the head produced.

Expert Solution & Answer
Check Mark
To determine

The discharge required for axial entry, the power generated in the water in watts, and the head produced.

Explanation of Solution

Given:

Inlet impeller radius is r1=10cm.

Outlet impeller radius is r2=20cm.

Inlet blade angle is β1=30°.

Outlet blade angle is β2=15°.

Speed of the centrifugal water pump is N=1600rpm.

Inlet tangential velocity is Vt1=0

Impeller inlet width b1=4cm.

Impeller outlet width b2=4cm.

Calculation:

Calculate the angular speed of centrifugal water pump (ω).

  ω=2πN60=1600revmin×2πradrev×rev60s=167.46rad/s

Calculate the runner speed at inlet (U1).

  U1=ωr1=167.46radsec×10cm(1m100cm)=16.746m/sec

Calculate the runner speed at outlet (U2).

  U2=ωr2=167.46×20cm(1m100cm)=33.492m/s

Draw inlet and outlet velocity diagram as shown in Figure (1).

Fox and McDonald's Introduction to Fluid Mechanics, Chapter 10, Problem 1P

From Figure (1).

  cosβ=UVtVrbsinβ=VnVrbtanβ=VnUVt

At inlet, Vt1=0.

Calculate Vn1.

  tanβ=VnUVtVn1=U1tanβ1Vn1=16.74m/s×tan30°Vn1=9.66m/s

Using continuity equation calculate the discharge required at the entry (Q).

  Q=2πr1b1Vn=2×π×[10cm(1m100cm)]×[4cm(1m100cm)]×(9.66m/s)=0.2427m3/s

Thus, the discharge required at the entry (Q) is 0.2427m3/s_.

At Outlet,

Calculate tangential velocity at outlet (Vt2).

  Vt2=U2Q2πr2b2cot(β2)=33.492m/s0.2427m3/s2×3.14×[20cm×(1m100cm)]×4cm(1m100cm)cot(15°)=15.466m/s

Calculate the theoretical power generated in the water (W˙m).

  W˙m=(U2Vt2U1Vt1)m˙=(U2Vt2)ρQ=[(33.492m/s×15.466m/s)×1000kg/m3×0.2427m3/s]=125715.51W

Thus, the power generated in the water (W˙m) is 125715.51W_.

Calculate the theoretical head (H).

  H=1g(U2Vt2U1Vt1)H=1g(U2Vt2)=19.81m/s2×(33.492m/s×15.466m/s)=52.08m

Thus, the theoretical head (H) is 52.08m_.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
A centrifugal pump delivers 0.071 m3/s of water against a head of 7.6-m at 1450 rpm and requires 6.7 kW. If the speed is reduced to 1200 rpm calculate the head, assuming the same efficiency.
A plant has installed a single suction centrifugal pump with a discharge of 68 m3/hr under 60 m head and running at 1200 rpm. It is proposed to install another pump with double suction but of the same type to operate at 37.22 m head and deliver 90 m3/hr. Determine the speed of the new pump. and what should be the new impeller diameter if the diameter of the original pump is 140mm?
A centrifugal pump discharging 10 lps against 25 m of head and operating with an efficiency of 60% requires 4.1 kW at 1000 rpm. What is the theoretical discharge if the speed is increased to 1500 rpm assuming the efficiency remains constant? What is the theoretical head and kW at 1500 rpm?.

Chapter 10 Solutions

Fox and McDonald's Introduction to Fluid Mechanics

Ch. 10 - In passing through this blade system, the absolute...Ch. 10 - A centrifugal pump runs at 1750 rpm while pumping...Ch. 10 - A centrifugal water pump designed to operate at...Ch. 10 - Kerosene is pumped by a centrifugal pump. When the...Ch. 10 - In the water pump of Problem 10.8, the pump casing...Ch. 10 - Use data from Appendix C to choose points from the...Ch. 10 - Data from tests of a water suction pump operated...Ch. 10 - A centrifugal pump impeller having r1 = 50 mm, r2...Ch. 10 - A centrifugal pump impeller having dimensions and...Ch. 10 - An axial-flow fan operates in sea-level air at...Ch. 10 - Data measured during tests of a centrifugal pump...Ch. 10 - A small centrifugal pump, when tested at N = 2875...Ch. 10 - If the impeller of Problem 10.20 rotates between...Ch. 10 - At the outlet of a pump impeller of diameter 0.6 m...Ch. 10 - Typical performance curves for a centrifugal pump,...Ch. 10 - A pump with D = 500 mm delivers Q = 0.725 m3/s of...Ch. 10 - At its best efficiency point ( = 0.87), a...Ch. 10 - Using the performance curves in Appendix C, select...Ch. 10 - A pumping system must be specified for a lift...Ch. 10 - A centrifugal water pump operates at 1750 rpm; the...Ch. 10 - A set of eight 30-kW motor-pump units is used to...Ch. 10 - A blower has a rotor with 12-in. outside diameter...Ch. 10 - A centrifugal water pump has an impeller with an...Ch. 10 - Appendix C contains area bound curves for pump...Ch. 10 - Use data from Appendix C to verify the similarity...Ch. 10 - A centrifugal water pump has an impeller with...Ch. 10 - Catalog data for a centrifugal water pump at...Ch. 10 - A 1/3 scale model of a centrifugal water pump...Ch. 10 - Sometimes the variation of water viscosity with...Ch. 10 - A large deep fryer at a snack-food plant contains...Ch. 10 - Data from tests of a pump, with a...Ch. 10 - A four-stage boiler feed pump has suction and...Ch. 10 - A centrifugal pump operating at N = 2265 rpm lifts...Ch. 10 - A centrifugal pump is installed in a piping system...Ch. 10 - Part of the water supply for the South Rim of...Ch. 10 - Consider the flow system shown in Problem 8.94....Ch. 10 - Afire nozzle is supplied through 300 ft of...Ch. 10 - Performance data for a centrifugal fan of 3-ft...Ch. 10 - The performance data of Problem 10.57 are for a...Ch. 10 - Experimental test data for an aircraft engine fuel...Ch. 10 - Preliminary calculations for a hydroelectric power...Ch. 10 - Conditions at the inlet to the nozzle of a Pelton...Ch. 10 - A Francis turbine is to operate under a head of 46...Ch. 10 - A Kaplan (propeller with variable-pitch blades)...Ch. 10 - Francis turbine Units 19, 20, and 21, installed at...Ch. 10 - Measured data for performance of the reaction...Ch. 10 - For a flow rate of 12 L/s and turbine speed of 65...Ch. 10 - The velocity of the water jet driving this impulse...Ch. 10 - An impulse turbine is to develop 15 MW from a...Ch. 10 - An impulse turbine under a net head of 33 ft was...Ch. 10 - The absolute velocities and directions of the jets...Ch. 10 - A fanboat in the Florida Everglades is powered by...Ch. 10 - A jet-propelled aircraft traveling at 225 m/s...Ch. 10 - When an air jet of 1-in.-diameter strikes a series...Ch. 10 - The volume flow rate through the propeller of an...Ch. 10 - A typical American multi blade farm windmill has D...Ch. 10 - An airplane flies at 200 km/h through still air of...Ch. 10 - This ducted propeller unit drives a ship through...Ch. 10 - A model of an American multi blade farm windmill...Ch. 10 - A large Darrieus vertical axis wind turbine was...Ch. 10 - Show that this ducted propeller system when moving...Ch. 10 - This ducted propeller unit (now operating as a...Ch. 10 - What is the maximum power that can be expected...Ch. 10 - If an ideal windmill is operating at best...Ch. 10 - A prototype air compressor with a compression...Ch. 10 - Prob. 89PCh. 10 - We have seen many examples in Chapter 7 of...

Additional Engineering Textbook Solutions

Find more solutions based on key concepts
Knowledge Booster
Mechanical Engineering
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
    • SEE MORE QUESTIONS
    Recommended textbooks for you
  • Elements Of Electromagnetics
    Mechanical Engineering
    ISBN:9780190698614
    Author:Sadiku, Matthew N. O.
    Publisher:Oxford University Press
    Mechanics of Materials (10th Edition)
    Mechanical Engineering
    ISBN:9780134319650
    Author:Russell C. Hibbeler
    Publisher:PEARSON
    Thermodynamics: An Engineering Approach
    Mechanical Engineering
    ISBN:9781259822674
    Author:Yunus A. Cengel Dr., Michael A. Boles
    Publisher:McGraw-Hill Education
  • Control Systems Engineering
    Mechanical Engineering
    ISBN:9781118170519
    Author:Norman S. Nise
    Publisher:WILEY
    Mechanics of Materials (MindTap Course List)
    Mechanical Engineering
    ISBN:9781337093347
    Author:Barry J. Goodno, James M. Gere
    Publisher:Cengage Learning
    Engineering Mechanics: Statics
    Mechanical Engineering
    ISBN:9781118807330
    Author:James L. Meriam, L. G. Kraige, J. N. Bolton
    Publisher:WILEY
  • Elements Of Electromagnetics
    Mechanical Engineering
    ISBN:9780190698614
    Author:Sadiku, Matthew N. O.
    Publisher:Oxford University Press
    Mechanics of Materials (10th Edition)
    Mechanical Engineering
    ISBN:9780134319650
    Author:Russell C. Hibbeler
    Publisher:PEARSON
    Thermodynamics: An Engineering Approach
    Mechanical Engineering
    ISBN:9781259822674
    Author:Yunus A. Cengel Dr., Michael A. Boles
    Publisher:McGraw-Hill Education
    Control Systems Engineering
    Mechanical Engineering
    ISBN:9781118170519
    Author:Norman S. Nise
    Publisher:WILEY
    Mechanics of Materials (MindTap Course List)
    Mechanical Engineering
    ISBN:9781337093347
    Author:Barry J. Goodno, James M. Gere
    Publisher:Cengage Learning
    Engineering Mechanics: Statics
    Mechanical Engineering
    ISBN:9781118807330
    Author:James L. Meriam, L. G. Kraige, J. N. Bolton
    Publisher:WILEY
    Fluid Mechanics - Viscosity and Shear Strain Rate in 9 Minutes!; Author: Less Boring Lectures;https://www.youtube.com/watch?v=_0aaRDAdPTY;License: Standard youtube license