Fluid Mechanics, 8 Ed
8th Edition
ISBN: 9789385965494
Author: Frank White
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 4, Problem 4.5FEEP
To determine
The convective acceleration in x direction for a given velocity distribution.
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A crate is hung by three ropes attached to a steel ring at A
such that the top surface is parallel to the xy plane. Point A
is located at a height of h = 121.92 cm above the top of the
crate directly over the geometric center of the top surface.
Use the given dimensions from the table below to perform
the following calculations:
a.) Determine the position vector FAD that describes rope
AD.
b.) Compute the unit vector cд that points from point C to
point A.
c.) If rope AB carries a tension force of magnitude FT = 760
→>
N, determine the force vector FT that expresses how this
force acts on point A.
Express each vector in Cartesian components to three
significant figures.
2013 Michael Swanbom
Cc 10
BY NC SA
↑Z
b
x
B
A
D
a
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale. Be sure to align
your cartesian unit vectors with the coordinate axes shown in
the figure.
Variable Value
→>
a
101.6 cm
b
124.46 cm
с
38.71 cm
a. r AD =
b. uca
=…
3. The shaft below is made of steel (G = 80GPa). It has a diameter of 25mm and is fixed and
supported at the two ends of the shaft, A and D.
(i) Is this a statically indeterminate problem? Why?
(ii) Can you draw the torque load diagram without first resolving the reaction torques at A
or D?
(iii) Determine the reaction torque at A and D.
(iv) Draw the torque load diagram.
(v) Determine the angle of twist at section AB.
B
90 N·m
0.6 m
0.75 m
0.9 m
90 N-m
3- A horizontal Venturi meter with d1 = 20 cm, and d₂ = 10 cm, is used to measure the flow rate of
oil of sp.gr. 0.8, the discharge through venture meter is 60 lit/s. find the reading of (oil-Hg)
differential Take Cd = 0.98.
Chapter 4 Solutions
Fluid Mechanics, 8 Ed
Ch. 4 - Prob. 4.1PCh. 4 - Flow through the converging nozzle in Fig. P4.2...Ch. 4 - Prob. 4.3PCh. 4 - Prob. 4.4PCh. 4 - Prob. 4.5PCh. 4 - Prob. 4.6PCh. 4 - Prob. 4.7PCh. 4 - P4.8 When a valve is opened, fluid flows in...Ch. 4 - An idealized incompressible flow has the proposed...Ch. 4 - A two-dimensional, incompressible flow has the...
Ch. 4 - Prob. 4.11PCh. 4 - Prob. 4.12PCh. 4 - Prob. 4.13PCh. 4 - Prob. 4.14PCh. 4 - What is the most general form of a purely radial...Ch. 4 - Prob. 4.16PCh. 4 - An excellent approximation for the two-dimensional...Ch. 4 - Prob. 4.18PCh. 4 - A proposed incompressible plane flow in polar...Ch. 4 - Prob. 4.20PCh. 4 - Prob. 4.21PCh. 4 - Prob. 4.22PCh. 4 - Prob. 4.23PCh. 4 - Prob. 4.24PCh. 4 - An incompressible flow in polar coordinates is...Ch. 4 - Prob. 4.26PCh. 4 - Prob. 4.27PCh. 4 - P4.28 For the velocity distribution of Prob. 4.10,...Ch. 4 - Prob. 4.29PCh. 4 - Prob. 4.30PCh. 4 - Prob. 4.31PCh. 4 - Prob. 4.32PCh. 4 - Prob. 4.33PCh. 4 - Prob. 4.34PCh. 4 - P4.35 From the Navier-Stokes equations for...Ch. 4 - A constant-thickness film of viscous liquid flows...Ch. 4 - Prob. 4.37PCh. 4 - Prob. 4.38PCh. 4 - Reconsider the angular momentum balance of Fig....Ch. 4 - Prob. 4.40PCh. 4 - Prob. 4.41PCh. 4 - Prob. 4.42PCh. 4 - Prob. 4.43PCh. 4 - Prob. 4.44PCh. 4 - Prob. 4.45PCh. 4 - Prob. 4.46PCh. 4 - Prob. 4.47PCh. 4 - Consider the following two-dimensional...Ch. 4 - Prob. 4.49PCh. 4 - Prob. 4.50PCh. 4 - Prob. 4.51PCh. 4 - Prob. 4.52PCh. 4 - Prob. 4.53PCh. 4 - P4.54 An incompressible stream function is...Ch. 4 - Prob. 4.55PCh. 4 - Prob. 4.56PCh. 4 - A two-dimensional incompressible flow field is...Ch. 4 - P4.58 Show that the incompressible velocity...Ch. 4 - Prob. 4.59PCh. 4 - Prob. 4.60PCh. 4 - An incompressible stream function is given by...Ch. 4 - Prob. 4.62PCh. 4 - Prob. 4.63PCh. 4 - Prob. 4.64PCh. 4 - Prob. 4.65PCh. 4 - Prob. 4.66PCh. 4 - A stream function for a plane, irrotational, polar...Ch. 4 - Prob. 4.68PCh. 4 - A steady, two-dimensional flow has the following...Ch. 4 - A CFD model of steady two-dimensional...Ch. 4 - Consider the following two-dimensional function...Ch. 4 - Prob. 4.72PCh. 4 - Prob. 4.73PCh. 4 - Prob. 4.74PCh. 4 - Given the following steady axisymmetric stream...Ch. 4 - Prob. 4.76PCh. 4 - Prob. 4.77PCh. 4 - Prob. 4.78PCh. 4 - Prob. 4.79PCh. 4 - Oil, of density and viscosity , drains steadily...Ch. 4 - Prob. 4.81PCh. 4 - Prob. 4.82PCh. 4 - P4.83 The flow pattern in bearing Lubrication can...Ch. 4 - Consider a viscous film of liquid draining...Ch. 4 - Prob. 4.85PCh. 4 - Prob. 4.86PCh. 4 - Prob. 4.87PCh. 4 - The viscous oil in Fig. P4.88 is set into steady...Ch. 4 - Oil flows steadily between two fixed plates that...Ch. 4 - Prob. 4.90PCh. 4 - Prob. 4.91PCh. 4 - Prob. 4.92PCh. 4 - Prob. 4.93PCh. 4 - Prob. 4.94PCh. 4 - Two immiscible liquids of equal thickness h are...Ch. 4 - Prob. 4.96PCh. 4 - Prob. 4.97PCh. 4 - Prob. 4.98PCh. 4 - For the pressure-gradient flow in a circular tube...Ch. 4 - W4.1 The total acceleration of a fluid particle is...Ch. 4 - Is it true that the continuity relation, Eq....Ch. 4 - Prob. 4.3WPCh. 4 - Prob. 4.4WPCh. 4 - W4.5 State the conditions (there are more than...Ch. 4 - Prob. 4.6WPCh. 4 - W4.7 What is the difference between the stream...Ch. 4 - Under what conditions do both the stream function...Ch. 4 - Prob. 4.9WPCh. 4 - Consider an irrotational, incompressible,...Ch. 4 - Prob. 4.1FEEPCh. 4 - Prob. 4.2FEEPCh. 4 - Prob. 4.3FEEPCh. 4 - Given the steady, incompressible velocity...Ch. 4 - Prob. 4.5FEEPCh. 4 - Prob. 4.6FEEPCh. 4 - C4.1 In a certain medical application, water at...Ch. 4 - Prob. 4.2CP
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- 4- A horizontal Venturi meter is used to measure the flow rate of water through the piping system of 20 cm I.D, where the diameter of throat in the meter is d₂ = 10 cm. The pressure at inlet is 17.658 N/cm2 gauge and the vacuum pressure of 35 cm Hg at throat. Find the discharge of water. Take Cd 0.98.arrow_forwardH.W: 1-A Pitot tube is inserted in the pipe of 30 cm I.D. The static pressure head is 10 cm Hg vacuum, and the stagnation pressure at center of the pipe is 0.981 N/cm2 gauge. Calculate the discharge of water through the pipe if u/umax = 0.85. Take Cp = 0.98.arrow_forward2- A Pitot tube is used to measure the air flow rate in a circular duct 60 cm I.D. The flowing air temperature is 65.5°C. The Pitot tube is placed at the center of the duct and the reading R on the manometer is 10.7 mm of water. A static pressure measurement obtained at the Pitot tube position is 205 mm of water above atmospheric. Take Cp = 0.98, = 2.03 x 10-5 Pa.s Calculate the velocity at the center and the average velocity. Calculate the volumetric flow rate of the flowing air in the duct.arrow_forward
- 4. The following assembly is made of an Aluminium rod (E = 500 MPa). The diameter of the rods is 25mm and 50mm. The ends of the rod are fixed at A and C. A 400 mm 1400 kN B 800 mm (i) Is this a statically indeterminate problem? Why? (ii) Can you draw the axial load diagram without first resolving the reaction forces at A and C? (iii) Determine the reaction forces at A and C. (iv) Draw the axial load diagram. (v) Determine the deformation at section BC.arrow_forwardSolve this problem and show all of the work. Show how the moments are calculated and draw a diagramarrow_forwardProblem: Textbook Problem 10.52 and 10.53. Determine the moment of inertia of the area about the x- axis and the y-axis. 3 in. 3 in. 6 in. 2 in. 4 in. xarrow_forward
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