Fox and McDonald's Introduction to Fluid Mechanics
9th Edition
ISBN: 9781118912652
Author: Philip J. Pritchard, John W. Mitchell
Publisher: WILEY
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Chapter 6, Problem 24P
Tomodel the velocity distribution in the curved inlet section of a water channel, the radius of curvature of the streamlines is expressed as R = LR0/2y. As an approximation, assume the water speed along each streamline is V = 10 m/s. Find an expression for and plot the pressure distribution from y = 0 to the tunnel wall at y = L/2, if the centerline gage pressure is 50 kPa, L = 75 mm, and R0 = 0.2 m. Find the value of V for which the wall static pressure becomes 35 kPa.
P6.24
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Find the head loss due to friction in pipe
of diameter 30 cm and length 50 m
through which water is flowing at velocity
3 m/sec. Use Darcy's formula. Take
kinematic viscosity as 0.01 stokes.
An incompressible frictionless flow field is given by
V = (Ax + By)i + (Bx – Ay)j
where A
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= 3 st, and x and y are in meters. The fluid is water and gravitational
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acceleration = 9.81 m/s? in the y-direction.
(a) Determine the magnitude and direction of the acceleration vector
(b) Determine the pressure gradients in both x- and y-directions at (x, y) = (2, 2)
Hint: use Euler's Equation to determine pressure gradients.
Chapter 6 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
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