Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 10, Problem 66P
In an irrotational region of flow, we wtite the velocitv
* ¦"
From Chap. 9. we also vmte the components of the vorticitv vector in cylindrical coordinates as £r 7 -W- -p- >it --- -zr ^^ i- 7 *; l^s) 7 "d1 - Substitute the velocity components into the vorticitv cc-rnpc-nente tc- show that all three components of the voracity vector are indeed zero in an irtotatlona] reaic-n of flow.
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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
1 L/min
B
y(t)
100 L
y(0) = 20 kg
2 L/min
Figure Q1 - Mixing problem for interconnected tanks
Determine the mass of salt in each tank at time t≥ 0:
Analytically (hand calculations)
Using MATLAB Numerical Functions (ode45)
Creating Simulink Model
Plot all solutions on the same graph for the first 15 min. The graph must be fully formatted by code.
ased on the corresponding mass flow rates (and NOT the original volumetric flow rates) determine:
a) The mass flow rate of the mixed air (i.e., the combination of the two flows) leaving the chamber in kg/s.
b) The temperature of the mixed air leaving the chamber.
Please use PyscPro software for solving this question.
Notes:
For part (a), you will first need to find the density or specific volume for each state (density = 1/specific volume).
The units the 'v' and 'a' are intended as subscripts:
· kgv = kg_v = kgv = kilogram(s) [vapour]
kga = kg_a =kga = kilogram(s) [air]
The answers to this question s wasn't properly given, I need expert handwritten solutions
Chapter 10 Solutions
Fluid Mechanics: Fundamentals and Applications
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Ch. 10 - Prob. 50CPCh. 10 - Consider the flow field produced by a hair dayer...Ch. 10 - In an irrotational region of flow, the velocity...Ch. 10 -
Ch. 10 - Prob. 54CPCh. 10 - Prob. 55PCh. 10 - Prob. 56PCh. 10 - Consider the following steady, two-dimensional,...Ch. 10 - Prob. 58PCh. 10 - Consider the following steady, two-dimensional,...Ch. 10 - Prob. 60PCh. 10 - Consider a steady, two-dimensional,...Ch. 10 -
Ch. 10 - Prob. 63PCh. 10 - Prob. 64PCh. 10 - Prob. 65PCh. 10 - In an irrotational region of flow, we wtite the...Ch. 10 - Prob. 67PCh. 10 - Prob. 68PCh. 10 - Water at atmospheric pressure and temperature...Ch. 10 - The stream function for steady, incompressible,...Ch. 10 -
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