Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 6, Problem 51CP
To determine
The unsteady angular momentum equation in the
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A piston moves with constant velocity U0 in a cylinder having radius R. A liquid having density leaves the open end with conical velocity proÖle V~ = V0(1-r/R)^k.Figure for problem 1.(a) If the exhaust port is closed, find the value of V0 in terms of U0. Be sure to define an appropriate control volume for solving this problem.(b) If V0 = U0, find the volume áow rate leaving through the exhaust port (in terms of U0 and R)
3. Water flows radially outward through a space between 2 disks of diameter D=
200 mm at a mass flow rate of 365 g/s. The perimeter of the disks is open to the
atmosphere and the spacing between them is 0.75 mm. Find the static pressure
between the disks at radius, r= 50 mm.
%3D
A jet of water strikes a splitter and splits into two streams of equal velocity but unequal thickness. All jets have a width w (into the paper). Friction forces of the water stream on the splitter are negligible. Ignore the weight of the splitter.
a) Use the integral mass conservation equation to find an equation for the thickness t of angled exit stream, t = f (h, a)
b) Apply the momentum equation in the vertical direction to find an equation 0 = f(a).Hint: the net vertical force on the splitter is zero
c) Find an equation Fx = f(p, V, w,h,a,0) for the horizontal force on the splitter
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
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 single-stage axial flow pump with outer radius r2 = 0.240 m and inner radius r1=0.120 m is given. At a radius of r =0.090 m, absolute flow flows in from the axial direction just before the impeller inlet and relative flow flows out in the axial direction just after the impeller outlet. Assuming a flow rate Q = 0.265 m^3/s, a water density p = 1.000 x 103 kg/m^3, a rotation speed n = 2.4 x 10^3 rpm, and a gravitational acceleration g = 9.81 m/s^2, and assuming that the theoretical head Hth = W/g (W: specific work) derived from Euler's law is constant at all impeller radii, answer the following questions. (1) Looking at the following image, find all values of the velocity triangle just before the impeller inlet and just after the impeller outlet at radius r =0.09 m. impeller Figure 37.1 A propeller of an axial flow pump a₁ w1 U₁ Outlet guide vane B₁ Impeller α₂ Vw2 U₂=U₂=Uarrow_forwardA single-stage axial flow pump with outer radius r2 =0.240 m and inner radius r1=0.120 m is given. At a radius of r =0.090 m, absolute flow flows in from the axial direction just before the impeller inlet and relative flow flows out in the axial direction just after the impeller outlet. Assuming a flow rate Q = 0.265 m^3/s, a water density p = 1.000 x 103 kg/m^3, a rotation speed n=2.4 x 10^3 rpm, and a gravitational acceleration g = 9.81 m/s^2, and assuming that the theoretical head Hth = W/g (W: specific work) derived from Euler's law is constant at all impeller radii, answer the following questions. (1) Assuming that the flow is uniform, find the axial velocity. (2) Find the velocity triangles just before the impeller inlet and just after the impeller outlet at a radius of r =0.09 m.arrow_forwardA single-stage axial flow pump with outer radius r2 =0.240 m and inner radius r1=0.120 m is given. At a radius of r =0.090 m, absolute flow flows in from the axial direction just before the impeller inlet and relative flow flows out in the axial direction just after the impeller outlet. Assuming a flow rate Q = 0.265 m^3/s, a water density p= 1.000 x 103 kg/m^3, a rotation speed n = 2.4 x 10^3 rpm, and a gravitational acceleration g = 9.81 m/s^2, and assuming that the theoretical head Hth = W/g (W: specific work) derived from Euler's law is constant at all impeller radii, answer the following questions. (1) Assuming that the flow is uniform, find the axial velocity. (2) Find the velocity triangles just before the impeller inlet and just after the impeller outlet at a radius of r =0.09 m. (3) From Euler's law, find the theoretical head Hth [m]. (4) Find the power P [W] required to rotate the impeller (drive the pump).arrow_forward
- (E) A uniform stream of fluid with speed U at infinity flows two-dimensionally and irrota- tionally towards a circular cylinder of radius a. The surface of the cylinder is porous and fluid is drawn inwards with normal velocity 2U inwards at the surface. The circulation about the cylinder is zero. 1. Find a real velocity potential for the flow. 2. Find a complex velocity potential for the flow. 3. Find any stagnation points in the flow 4. Find a streamfunction for the flow. 5. Sketch the streamlines of the flow, distinguishing quantitatively between the fluid entering the cylinder and the fluid passing the cylinder.arrow_forwardplease answer A pump impeller rotating at 1400 rpm has an outside radius of 21 cm, the vane outlet angle β2 is 158° and the radial velocity at the outlet Cr2 is 4 m/s. Assuming radial flow at inlet, draw the theoretical outlet velocity diagram and calculate the various velocities and angles.( A)What is the theoretical head Ho, in meters, assuming that the circulatory flow coefficient η∞ = 1.,(B)In the preceding example; assume a deviation of 10° applied to β2 due to circulation after the modern theory. The flow is 30 lit/s. After drawing/illustrating the velocity diagram, find the theoretical head Ho, in meters, assuming radial flow at inlet, neglecting the deviation in inlet velocity diagram. (c)Assuming that the mechanical efficiency ηmech = 0.95, the hydraulic (or manometric) efficiency ηman = 0.8, find the required break horsepower to drive the pump.arrow_forwardA fluid moves in a steady flow manner between two sections in a flow line. At section 1: A1= 10ft^2, U1=100 fpm, v1= 4 ft^3/lbm. At section 2: A2= 2ft^2, p2= 0.20 lbm/ft^3, U2=120 fpm. Calculate (a) the mass flow rate, and the (b) change of mass stored in system ∆m.arrow_forward
- 5. 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_forward2. A source of volume flow rate 2 m2/s is located at origin and another source of volume flow rate 4 m2/s is located at (3, 0). Find out the velocity components at (2, 2). Ans: u = - 0.048 m/s, v 0.334 m/sarrow_forwardA fluid moves in a steady flow manner between two sections ina flow line. At section 1: A1=1 ft2, v1=100fpm, specific volume1= 4ft3/lb. At section 2: A2=2ft2, p = 0.20lb/ft3. Calculate the mass flow rate and speed at section 2.arrow_forward
- A pump impeller rotating at 1400 rpm has an outside radius of 21 cm, the vane outlet angle β2 is 158° and the radial velocity at the outlet Cr2 is 4 m/s. Assuming radial flow at inlet, draw the theoretical outlet velocity diagram and calculate the various velocities and angles(d)calculate the water horsepower.arrow_forward! MIN 1/1 米 4:22 PM O O 81% Find a relation between nozzle discharge velocity V2 and tank free surface height h as in figure below. Assume steady frictionless flow. HGL - II Open jet:arrow_forwardExample (1-1): Find the force exerted by a 5 cm diameter water jet directed against a flat plate held normal to the exit of stream. The velocity of the jet is 35 m/s. Example (1-2): A 2.5 cm diameter water jet exerts a force of 90 kN in the direction of flow on a flat plate which is held inclined at an angle of 30° with the axis of stream. Find the rate of flow.arrow_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 Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering 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
Introduction to Kinematics; Author: LearnChemE;https://www.youtube.com/watch?v=bV0XPz-mg2s;License: Standard youtube license