Statics and Mechanics of Materials
2nd Edition
ISBN: 9780073398167
Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David Mazurek
Publisher: McGraw-Hill Education
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Chapter 4.1, Problem 26P
Eight identical
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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.
5. Estimate the friction pressure gradient in a 10.15 cm bore unheated horizontal
pipe for the following conditions:
Fluid-propylene
Pressure 8.175 bar
Temperature-7°C
Mass flow of liquid-2.42 kg/s. Density of liquid-530 kg/m³
Mass flow of vapour-0.605 kg/s. Density of vapour-1.48 kg/m³
Describe the following HVAC systems.
a) All-air systems
b) All-water systems
c) Air-water systems
Graphically represent each system with a sketch.
Chapter 4 Solutions
Statics and Mechanics of Materials
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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.arrow_forwardased 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]arrow_forwardThe answers to this question s wasn't properly given, I need expert handwritten solutionsarrow_forward
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