Fox and McDonald's Introduction to Fluid Mechanics
9th Edition
ISBN: 9781118912652
Author: Philip J. Pritchard, John W. Mitchell
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 7, Problem 66P
The pressure rise, Δp, of a liquid flowing steadily through a centrifugal pump depends on pump diameter D, angular speed of the rotor ω, volume flow rate Q, and density ρ. The table gives data for the prototype and for a geometrically similar model pump. For conditions corresponding to dynamic similarity between the model and prototype pumps, calculate the missing values in the table.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
In Prob. it would be difficult to solve for Ω because of itappears in all three of the dimensionless pump coefficients.Suppose that, in Prob. 5.61, Ω is unknown but D = 12 cmand Q = 25 m 3 /h. The fluid is gasoline at 20 ° C. Rescale thecoefficients, , to make a plot ofdimensionless power versus dimensionless rotation speed.Enter this plot to find the maximum rotation speed Ωforwhich the power will not exceed 300 W.
For studying of a dam in the laboratory, a model overflow has been built in the scale of , to
36
Prototype. The flowrate of the flow in the model is 0.15 . The required time for moving of
water between two points in the model is 1 minute. Calculate:
i.
The volume flowrate in the prototype.
ii.
The required time for moving of water between the points in the prototype.
Q: Consider a drag force is F is exerted on a sliver by the pressurized air as it moves through the nozzle for air jet spinning as shown in Fig attached. Physical factor influence the drag force F on the sliver is the diameter of the nozzle D: also the velocity of the sliver V. The fluid properties involved are the density p and the viscosity of the air jet p. Derive an expression for the drag on the sliver by the jet of air applying Buckingham Pi theorem.
Chapter 7 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
Ch. 7 - The slope of the free surface of a steady wave in...Ch. 7 - One-dimensional unsteady flow in a thin liquid...Ch. 7 - In atmospheric studies the motion of the earths...Ch. 7 - Fluid fills the space between two parallel plates....Ch. 7 - By using order of magnitude analysis, the...Ch. 7 - Consider a disk of radius R rotating in an...Ch. 7 - An unsteady, two-dimensional, compressible,...Ch. 7 - Experiments show that the pressure drop for flow...Ch. 7 - At very low speeds, the drag on an object is...Ch. 7 - We saw in Chapter 3 that the buoyant force, FB, on...
Ch. 7 - Assume that the velocity acquired by a body...Ch. 7 - Derive by dimensional analysis an expression for...Ch. 7 - The speed of shallow water waves in the ocean...Ch. 7 - The speed, V, of a free-surface wave in shallow...Ch. 7 - The boundary-layer thickness, , on a smooth flat...Ch. 7 - The speed, V, of a free-surface gravity wave in...Ch. 7 - Derive an expression for the velocity of very...Ch. 7 - Derive an expression for the axial thrust exerted...Ch. 7 - Derive an expression for drag force on a smooth...Ch. 7 - The energy released during an explosion, E, is a...Ch. 7 - Measurements of the liquid height upstream from an...Ch. 7 - The load-carrying capacity, W, of a journal...Ch. 7 - Derive an expression for the drag force on a...Ch. 7 - A circular disk of diameter d and of negligible...Ch. 7 - Two cylinders are concentric, the outer one fixed...Ch. 7 - The time, t, for oil to drain out of a viscosity...Ch. 7 - You are asked to find a set of dimensionless...Ch. 7 - A continuous belt moving vertically through a bath...Ch. 7 - Derive an expression for the frictional torque...Ch. 7 - Tests on the established flow of six different...Ch. 7 - The power, P, required to drive a fan is believed...Ch. 7 - The sketch shows an air jet discharging...Ch. 7 - The diameter, d, of bubbles produced by a...Ch. 7 - Choked-flow nozzles are often used to meter the...Ch. 7 - A large tank of liquid under pressure is drained...Ch. 7 - Spin plays an important role in the flight...Ch. 7 - The power loss, P, in a journal bearing depends on...Ch. 7 - The thrust of a marine propeller is to be measured...Ch. 7 - The rate dT/dt at which the temperature T at the...Ch. 7 - When a valve is closed suddenly in a pipe with...Ch. 7 - An airship is to operate at 20 m/s in air at...Ch. 7 - An airplane wing of 3 m chord length moves through...Ch. 7 - A flat plate 1.5 m long and 0.3 m wide is towed at...Ch. 7 - This 1:12 pump model using water at 15C simulates...Ch. 7 - An ocean-going vessel is to be powered by a...Ch. 7 - On a cruise ship, passengers complain about the...Ch. 7 - A 1:3 scale model of a torpedo is tested in a wind...Ch. 7 - A flow rate of 0:18 m3/s of water at 20C...Ch. 7 - A force of 9 N is required to tow a 1:50 ship...Ch. 7 - An airplane wing, with chord length of 1.5 m and...Ch. 7 - A water pump with impeller diameter of 24 in. is...Ch. 7 - A model hydrofoil is to be tested at 1:20 scale....Ch. 7 - A ship 120 m long moves through freshwater at 15C...Ch. 7 - A 1:30 scale model of a cavitating overflow...Ch. 7 - In some speed ranges, vortices are shed from the...Ch. 7 - A 1:8 scale model of a tractor-trailer rig is...Ch. 7 - On a cruise ship, passengers complain about the...Ch. 7 - When a sphere of 0.25 mm diameter and specific...Ch. 7 - The flow about a 150 mm artillery projectile which...Ch. 7 - Your favorite professor likes mountain climbing,...Ch. 7 - A 1:50-scale model of a submarine is to be tested...Ch. 7 - Consider water flow around a circular cylinder, of...Ch. 7 - A 1:10 scale model of a tractor-trailer rig is...Ch. 7 - The power, P, required to drive a fan is assumed...Ch. 7 - Over a certain range of air speeds, V, the lift,...Ch. 7 - The pressure rise, p, of a liquid flowing steadily...Ch. 7 - An axial-flow pump is required to deliver 0.75...Ch. 7 - A model propeller 1 m in diameter is tested in a...Ch. 7 - Consider Problem 7.38. Experience shows that for...Ch. 7 - Closed-circuit wind tunnels can produce higher...Ch. 7 - A 1:16 model of a bus is tested in a wind tunnel...Ch. 7 - The propagation speed of small-amplitude surface...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
Four forces are exerted on the eyebolt as shown. If the net effect on the bolt is a direct pull of 600 lb in th...
Engineering Mechanics: Statics
Determine the normal stress in each member of the truss structure. All joints are ball joint, and the material ...
Introduction To Finite Element Analysis And Design
A Btu-meter is a device that measures water flow rate and the temperature difference between the water entering...
Heating Ventilating and Air Conditioning: Analysis and Design
The 60 mm-diameter steel shaft is subjected to the torques shown. Determine the angle of twist of end A with re...
Mechanics of Materials
6.1 A 150 Ib block rests on a horizontal floor. The coefficient of friction between the block and the floor is ...
Applied Statics and Strength of Materials (6th Edition)
If the box has x components of velocity and acceleration of vx = 3 m/s and ax = 1.5 m/s2 at x = 5 m, determine ...
Engineering Mechanics: Dynamics (14th Edition)
Knowledge Booster
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
- (a) A model low speed centrifugal compressor (a “blower") runs at 430 rpm and delivers 10 m/s of air against a pressure head of 60 mm of water. If the pump efficiency is estimated to be 80%, how much power is required to drive the compressor? (b) A geometrically similar compressor is made with a diameter 1.8 times the size of the model and is required to work against a pressure head of 80 mm of water. Determine the operating speed and the power needed to drive the compressor assuming dynamically similar condi- tions apply.arrow_forwardThe power input P to a centrifugal pump is assumed to be a function of the volume flow Q, impeller diameter D, rotational rate Ohm, the density rho, and viscosity mu of the fluid. Rewrite this as a dimensionless relationshiparrow_forwardAn incompressible fluid oscillates harmonically (V = Vosinut, where Vis the velocity) with a frequency of 9 rad/s in a 6-in.-diameter pipe. A 1/5 scale model is to be used to determine the pressure difference per unit length, Ap, (at any instant) along the pipe. Assume that Api= f(D, Vo, w, t, u, p) where D is the pipe diameter, w the frequency, t the time, the u fluid viscosity, and p the fluid density. If the same fluid is used in the model and the prototype, at what frequency should the model operate? Wm i rad/sarrow_forward
- Assume that the wall shear stress, Tw, created when a fluid flows through a pipe (see Figure a) depends on the pipe diameter, D, the flowrate, Q, the fluid density, p, and the kinematic viscosity, v. Some model tests run in a laboratory using water in a 0.2-ft-diameter pipe yield the Tw vs. Q data shown in Figure b. Perform a dimensional analysis and use model data to predict the wall shear stress in a 0.3-ft- diameter pipe through which water flows at the rate of 1.5 ft3/s. 0.7 Diameter = D 0.6 2 0.5 0.4 Model data (a) 0.3 0.2 0.1 0.5 1.5 Flowrate, Q, ft/s (b) Tw Ib/ft2 Wall shear stress, T,, Ib/ft? n * m N -arrow_forwardIn this question, assume the "additional displacement" is in the positive u direction. A mass weighing 16 lbs stretches a spring 8 inches. The mass is in a medium that exerts a viscous resistance of 1 lbs when the mass has a velocity of 2 ft/sec. Suppose the object is displaced an additional 5 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. u(t) =arrow_forwardF₂ Figure 1: Problem 6.arrow_forward
- A student team is to design a submarine for a design competition. The overall length of the prototype submarine is 4.85 m. The prototype submarine is expected to moves through freshwater in the lake at 0.440 m/s. The student team builds a one-fifth scale model to test in their university's wind tunnel. Calculate the wind tunnel air speed in order to achieve similarity with the prototype submarine. For water at T= 15 °C and atmospheric pressure, the density is p = 999.1 kg/m³ and the dynamic viscosity is µ = 1.138 x 10³ kg/m-s. For air in the wind tunnel at T= 25 °C and atmospheric pressure, the density is p= 1.184 kg/m³ and the dynamic viscosity is µ = 1.849 x 10-$ kg/m's.arrow_forwardA prototype ocean platform piling is expected to encountercurrents of 150 cm/s and waves of 12-s period and 3-mheight. If a one-fifteenth-scale model is tested in a wavethe channel, what current speed, wave period, and wave heightshould be encountered by the model?arrow_forwardQ2: The power input P to a centrifugal pump is assumed to be a function of the volume flow , impeller diameter D, rotational rate 2, and the density p and viscosity u of the fluid. Rewrite these variables as a dimensionless relationship. Hint: Take 2, p, and D as repeating variables.arrow_forward
- You are doing a problem that requires Reynold's Transport Theorem with Conservation of Mass. You carefully write the equation and then on the second line you write: 0 = v3 A3 - Svị dA1 + f vzdA2 What statements in the question or assumptions you make would lead you to this simplification? Mark all that apply. The flow is steady. Newtonian Fluid Incompressible fluid. Inviscid fluid. Inlets have uniform flow. Exits have uniform flow. Velocity is only in the x-direction.arrow_forwardSAE 30 oil at 60 °F is pumped through a 4-ft-diameter pipeline at a rate of 6750 gal/min. A model of this pipeline is to be designed using a 1-in.-diameter pipe and water at 60 °F as the working fluid. To maintain Reynolds number similarity between these two systems, what fluid velocity will be required in the model? Vm= i ft/sarrow_forward(b) The kinematic viscosity of a fluid used for model is one third of the kinematic viscosity of the fluid used for prototype. During testing of the model, if viscosity and gravity forces are predominant, find the scale ration, velocity ratio and discharge rationarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- 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
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