Fox and McDonald's Introduction to Fluid Mechanics

9th Edition

ISBN: 9781118912652

Author: Philip J. Pritchard, John W. Mitchell

Publisher: WILEY

See similar textbooks

Concept explainers

Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid stat…

Videos

Textbook Question

Chapter 5, Problem 66P

Consider a steady, laminar, fully developed, incompressible flow between two infinite plates, as shown. The flow is due to the motion of the left plate as well a pressure gradient that is applied in the y direction. Given the conditions that V → ≠ V → ( z ) , w = 0 , and that gravity points in the negative y direction, prove that u = 0 and that the pressure gradient in the y direction must be constant.

Chapter 5, Problem 66P, Consider a steady, laminar, fully developed, incompressible flow between two infinite plates, as

P5.66

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 5, Problem 65P

Chapter 5, Problem 67P

Students have asked these similar questions

A two dimensional, steady, incompressible and potential flow field of water (ρ=1000 kg/m3) is given with velocity components u and v. If the velocity component, u is given as u=2xy m/s with the magnitude of maximum pressure in the field as 52108 Pa. a) At x=+1 m and y=+2 m point, what is the magnitude of the velocity component v (in m/s)? (Please use 2 decimal digits in your answer) b) At x=+1 m and y=+2 m point, what is the magnitude of dynamic pressure (in Pa)? (Please do not use any decimal digit in your answer) c) At x=+1 m and y=+2 m point, what is the magnitude of static pressure (in Pa)? (Please do not use any decimal digit in your answer)

Water flows in a channel with uniform curvature R. The channel has height h=6mm and width w=215mm (normal to the drawing plane) as shown in Fig Q3. The curved part of the channel has a length of l=100mm in the x-direction. You can assume that the channel height is very small compared to the curvature radius.Neglect effects of gravity. Fig Q3: Geometry of curved channel, drawing not to scale. The curvature of the channel is not shown, as too small to be drawn accurately at this scale. Work to 4 significant digits. Enter all values using base units or their combinations, i.e. m, m/s, Pa, N. Do not use multiples as e.g. mm, kPa. You can use values with exponents, such as 0.12e3. a) Determine the pressure gradient in the streamtube next to the lower wall in Pa/m and determine the pressure difference across the streamtube next to the lower wall in Pa. b) Determine the overall force for this velocity profile in N.

An incompressible fluid flows through a pipe of length L = 1.00 m and conical section, which connects a cylindrical pipe of radius R = 0.45 m on the left with another cylindrical pipe of radius r = 0.25 m , on the right, as shown in the figure. If the steady flow velocity in the cylindrical pipe of radius R is v= 1.50 m/s, what is the velocity vx of the fluid at a position x= 0.40 m of the conical section, measured from the left end of it? Choose the correct answer: a) 1.9 m/s ≤ vx < 2.1 m/s b) 2.3 m/s ≤ vx < 2.5 m/s c) 1.7 m/s ≤ vx < 1.9 m/s d) 1.5 m/s ≤ vx < 1.7 m/s e) 2.5 m/s ≤ vx < 2.7 m/s f) 2.1 m/s ≤ vx < 2.3 m/s

Chapter 5 Solutions

Fox and McDonald's Introduction to Fluid Mechanics

Ch. 5 - Which of the following sets of equations represent...Ch. 5 - Which of the following sets of equations represent...Ch. 5 - In an incompressible three-dimensional flow field,...Ch. 5 - In a two-dimensional incompressible flow field,...Ch. 5 - The three components of velocity in a velocity...Ch. 5 - The x component of velocity in a steady,...Ch. 5 - The y component of velocity in a steady...Ch. 5 - The velocity components for an incompressible...Ch. 5 - The radial component of velocity in an...Ch. 5 - A crude approximation for the x component of...

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.