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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Textbook Question
Chapter 8, Problem 49P
In a food industry plant, two immiscible fluids are pumped through a tube such that fluid 1(μ1 = 0.5 N·s/m2) forms an inner core r = D/4 and fluid 2(μ2 = 5 N·s/m2) forms an outer annulus. The tube has D = 5 mm diameter and length L = 5 m. Derive and plot the velocity distribution if the applied pressure difference, Δp, is 5 MPa.
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R₂ = 20 mm
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Ri. A
Ro
A liquid flows through the space between a small rod and a pipe, as shown in diagram below.
The outer radius of the pipe is R₁, the inner radius of the rod is R₁, and the ratio λ
pressure difference per unit length (Ap/L) of 2000 Pa/m is applied to drive the fluid flow. The
liquid has a viscosity of μ = 0.02 Pa's.
Q = π
If the equation of volumetric flow rate (Q) of the liquid, is given as
ApR" ApR" (Ri
8μ L 8μ L
+
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R
R₁ = AR₁ = 10 mm
+
Ro
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(A) What should be the value of "n", for the equation above to be dimensionally consistent? Use
dimensional analysis.
n
(1-2²)² ApR"
8μ L
In
==.
(B) Calculate the value of volumetric flow rate in cubic meter per second when r = (Ro+
R₁)/2, and Ro = 20mm, R₁ = 10mm. Report your result with three significant figures.
Air at 30C and atmospheric pressure flows with a velocity of 6.5 m/s through a 7.5 cmdiameter pipe shown in Figure Q 1(a). The average wall roughness of the pipe is 0.002mmand the value of μ/ρ is 1.6x10-5 m2/s at 30C. Where μ is the coefficient of dynamic viscosityof air and ρ is the density of air. Determine the friction head loss across 30m length of thepipe.
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Chapter 8 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
Ch. 8 - Consider incompressible flow in a circular...Ch. 8 - What is the maximum flow rate of air that may...Ch. 8 - For flow in circular tubes, transition to...Ch. 8 - An incompressible fluid flows between two infinite...Ch. 8 - Oil is confined in a 4-in.-diameter cylinder by a...Ch. 8 - Viscous oil flows steadily between parallel...Ch. 8 - Calculate for the flow in this two-dimensional...Ch. 8 - The velocity profile in a two-dimensional open...Ch. 8 - A large mass is supported by a piston of diameter...Ch. 8 - A hydraulic jack supports a load of 9000 kg. The...
Ch. 8 - The basic component of a pressure gage tester...Ch. 8 - When a horizontal laminar flow occurs between two...Ch. 8 - In a laminar flow of water of 0:007 m3/s between...Ch. 8 - Consider the simple power-law model for a...Ch. 8 - A sealed journal bearing is formed from concentric...Ch. 8 - Using the profile of Problem 8.15, show that the...Ch. 8 - In a laminar flow between parallel plates spaced...Ch. 8 - A fluid of specific gravity 0.90 flows at a...Ch. 8 - Two immiscible fluids are contained between...Ch. 8 - The record-read head for a computer disk-drive...Ch. 8 - Consider steady, incompressible, and fully...Ch. 8 - In a flow of air between parallel plates spaced...Ch. 8 - Consider fully developed flow between parallel...Ch. 8 - Free-surface waves begin to form on a laminar...Ch. 8 - A viscous-shear pump is made from a stationary...Ch. 8 - The efficiency of the viscous-shear pump of Fig....Ch. 8 - An inventor proposes to make a viscous timer by...Ch. 8 - A continuous belt, passing upward through a...Ch. 8 - A wet paint film of uniform thickness, , is...Ch. 8 - Consider first water and then SAE 10W lubricating...Ch. 8 - Using Eq. 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