FUNDAMENTALS OF FLUID MECHANICS
8th Edition
ISBN: 9781119571490
Author: GERHART
Publisher: WILEY
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Chapter 9.2, Problem 16P
To determine
The water velocity at
The water velocity at
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Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank
A into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min (see Figure Q1). The liquid inside each
tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of
6 L/min. The diluted solution flows out of the system from tank A at 4 L/min and from tank B at 2 L/min. If,
initially, tank A contains pure water and tank B contains 20 kg of salt.
A
6 L/min
0.2 kg/L
x(t)
100 L
4 L/min
x(0) = 0 kg
3 L/min
B
y(t)
100 L
y(0) = 20 kg
2 L/min
1 L/min
Figure Q1 - Mixing problem for interconnected tanks
Determine the mass of salt in each tank at time t > 0:
Analytically (hand calculations)
Chapter 9 Solutions
FUNDAMENTALS OF FLUID MECHANICS
Ch. 9.1 - Prob. 1PCh. 9.1 - Assume that water flowing past the equilateral...Ch. 9.1 - Repeat Problem 9.1 if the object is a cone (made...Ch. 9.1 - Prob. 4PCh. 9.1 - Prob. 5PCh. 9.1 - Prob. 6PCh. 9.1 - Prob. 8PCh. 9.1 - Typical values of the Reynolds number for various...Ch. 9.1 - Prob. 11PCh. 9.1 - Consider the following cases. (a) A small...
Ch. 9.2 - Water flows past a flat plate that is oriented...Ch. 9.2 - A viscous fluid flows past a flat plate such that...Ch. 9.2 - Prob. 15PCh. 9.2 - Prob. 16PCh. 9.2 - Prob. 17PCh. 9.2 - Prob. 18PCh. 9.2 - Air enters a square duct through a 1-ft opening as...Ch. 9.2 - A smooth, flat plate of length and width b = 4 m...Ch. 9.2 - An atmospheric boundary layer is formed when the...Ch. 9.2 - Prob. 22PCh. 9.2 - Prob. 23PCh. 9.2 - Prob. 25PCh. 9.2 - Prob. 26PCh. 9.2 - Prob. 27PCh. 9.2 - Prob. 28PCh. 9.2 - Prob. 29PCh. 9.2 - Prob. 30PCh. 9.2 - A laminar boundary layer velocity profile is...Ch. 9.2 - Prob. 32PCh. 9.2 - Prob. 33PCh. 9.3 - Should a canoe paddle be made rough to get a...Ch. 9.3 - Prob. 35PCh. 9.3 - Prob. 36PCh. 9.3 - Prob. 37PCh. 9.3 - Prob. 38PCh. 9.3 - Prob. 39PCh. 9.3 - Prob. 40PCh. 9.3 - Prob. 41PCh. 9.3 - Prob. 42PCh. 9.3 - Prob. 43PCh. 9.3 - Prob. 44PCh. 9.3 - Prob. 45PCh. 9.3 - Prob. 46PCh. 9.3 - Prob. 47PCh. 9.3 - Prob. 48PCh. 9.3 - Prob. 49PCh. 9.3 - Prob. 50PCh. 9.3 - Prob. 51PCh. 9.3 - Prob. 52PCh. 9.3 - Prob. 53PCh. 9.3 - Prob. 54PCh. 9.3 - Prob. 55PCh. 9.3 - Prob. 56PCh. 9.3 - A 38.1-mm-diameter, 0.0245-N table tennis ball is...Ch. 9.3 - Prob. 58PCh. 9.3 - Prob. 59PCh. 9.3 - Prob. 60PCh. 9.3 - Prob. 61PCh. 9.3 - Prob. 62PCh. 9.3 - Prob. 63PCh. 9.3 - Prob. 64PCh. 9.3 - Prob. 65PCh. 9.3 - Prob. 66PCh. 9.3 - During a flash flood, water rushes over a road as...Ch. 9.3 - Prob. 68PCh. 9.3 - Prob. 69PCh. 9.3 - Prob. 70PCh. 9.3 - Prob. 71PCh. 9.3 - Prob. 72PCh. 9.3 - Phil’s Pizza Parlor decides to place a thin,...Ch. 9.3 - Prob. 74PCh. 9.3 - Prob. 75PCh. 9.3 - Estimate the energy required for an average person...Ch. 9.3 - a vertical wind tunnel can be used for skydiving...Ch. 9.3 - Compare the rise velocity of an -in.-diameter air...Ch. 9.3 - A 50-lb box shaped like a 1-ft cube falls from the...Ch. 9.3 - A 500-N cube of specific gravity SG = 1.8 falls...Ch. 9.3 - The helium-filled balloon shown in Fig P9.81 is to...Ch. 9.3 - A 0.30-m-diameter cork ball (SG = 0.21) is tied to...Ch. 9.3 - A shortwave radio antenna is constructed from...Ch. 9.3 - Prob. 84PCh. 9.3 - Prob. 85PCh. 9.3 - Prob. 86PCh. 9.3 - Prob. 87PCh. 9.3 - Prob. 88PCh. 9.3 - A smooth orange ball weighs lb (at sea level) and...Ch. 9.3 - Prob. 90PCh. 9.3 - A marine location marker is a smoke-producing...Ch. 9.3 - Prob. 92PCh. 9.3 - An airplane flies at 150 km/hr. (a) The airplane...Ch. 9.3 - Prob. 94PCh. 9.3 - Prob. 96PCh. 9.3 - Prob. 97PCh. 9.3 - Prob. 98PCh. 9.3 - Prob. 99PCh. 9.4 - Prob. 100PCh. 9.4 - Prob. 101PCh. 9.4 - Prob. 102PCh. 9.4 - Prob. 103PCh. 9.4 - Prob. 104PCh. 9.4 - Prob. 105PCh. 9.4 - Prob. 106PCh. 9.4 - Prob. 107PCh. 9.4 - Prob. 108PCh. 9.4 - Prob. 109PCh. 9.4 - Prob. 111PCh. 9.4 - Prob. 112PCh. 9.4 - Prob. 113PCh. 9.4 - Prob. 114PCh. 9.4 - Prob. 115PCh. 9.4 - Prob. 116PCh. 9.4 - Prob. 117PCh. 9.4 - Prob. 118PCh. 9.4 - Prob. 119PCh. 9.4 - Prob. 120PCh. 9.4 - Prob. 121PCh. 9.4 - Prob. 122PCh. 9.4 - (See The Wide World of Fluids article “Why...Ch. 9.5 - Prob. 1LLPCh. 9.5 - Prob. 2LLPCh. 9.5 - We have seen in this chapter that streamlining an...
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