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MECH 370 Lab 2 Experiment (Time Response Of A First-Order Fluid System) update fall 2026 Concordia University

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MECH 370 Lab 2 Experiment (Time Response Of A First-Order Fluid System) update fall 2026 Concordia University Lab 2: Time Response Of A First-Order Fluid System Lab Section EI – X Winter 2025 Professor Christopher Yee Wong Concordia University Montreal, QC, Canada CONTENTS CONTENTS 2 NOMENCLATURE 3 LIST OF FIGURES 3 OBJECTIVE 4 INTRODUCTION 4 PROCEDURE 6 RESULTS 9 EXPERIMENTAL RESULTS 19 SAMPLE CALCULATIONS 19 DISCUSSION 20 CONCLUSION 20 REFERENCES 21 NOMENCLATURE LIST OF FIGURES Figure 1: Wire setup for experiment [1] Figure 2: Oscilloscope CH1 settings [1] Figure 3: Full experiment graph with cursor placement [1] Figure 4: Full experiment graph with second cursor placement [1] Figure 5: Experiment 1 pressure drop Figure 6: Experiment 1 time constant pressure Figure 7: Experiment 2 pressure drop Figure 8: Experiment 2 time constant pressure Figure 9: Experiment 3 pressure drop Figure 10: Experiment 3-time constant pressure Figure 11: Simscape Pressure vs Time Plot for Experiments 1, 2 and 3 Figure 12: Simulink Pressure vs Time Plot for Experiment 1 Figure 13: Simulink Pressure vs Time Plot for Experiment 2 Figure 14: Simulink Pressure vs Time Plot for Experiment 3 OBJECTIVE The objective of this lab is to compare experimental values of a first order system’s time response versus the simulated values [1]. INTRODUCTION A first order system is a system that can be mathematically expressed using a single derivative on the left-hand side of the equation. The right-hand side of the equation should consist of numbers or variables that are not derived. This format allows for a simpler approach to solve more complex systems. This experiment uses a fluid system that is already in the first order and thus can be used to solve various variables with ease [1]. The system used in this experiment is a rigid tank with an initial pressure and a valve to release air [1]. Such a system can be expressed as a first order differential equation of mass with respect to time and is formulated as seen below:

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MECH 370 Lab 2 Experiment (Time Response Of A First-Order
Fluid System) update fall 2026 Concordia University

Lab 2:
Time Response Of A First-Order Fluid System




Lab Section EI – X
Winter 2025
Professor Christopher Yee Wong
Concordia University
Montreal, QC, Canada




1

,CONTENTS
CONTENTS ........................................................................................... 2
NOMENCLATURE .................................................................................... 3
LIST OF FIGURES .................................................................................... 3
OBJECTIVE .......................................................................................... 4
INTRODUCTION ..................................................................................... 4
PROCEDURE ......................................................................................... 6
RESULTS ............................................................................................. 9
EXPERIMENTAL RESULTS......................................................................... 19
SAMPLE CALCULATIONS ......................................................................... 19
DISCUSSION........................................................................................ 20
CONCLUSION ...................................................................................... 20
REFERENCES....................................................................................... 21




2

, NOMENCLATURE
M = mass (kg)
t = time (s)
ρ = density (kg/m3)
q = volume flow rate (m3/s)
V = volume (m3)
γ = specific heat ratio
cf = fluid capacitance (m5/N)
D = effective diameter (m)
μ = viscocity ((N*s)/m2)
L = effective length (m)
p = pressure (N/m2)
P0 = initial pressure (N/m2)
Pa = atmospheric pressure (N/m2)
Rf = fluid resistance ((N*s)/m5)
τ = time constant (s)



LIST OF FIGURES
Figure 1: Wire setup for experiment [1]
Figure 2: Oscilloscope CH1 settings [1]
Figure 3: Full experiment graph with cursor placement [1]
Figure 4: Full experiment graph with second cursor placement [1]
Figure 5: Experiment 1 pressure drop
Figure 6: Experiment 1 time constant pressure
Figure 7: Experiment 2 pressure drop
Figure 8: Experiment 2 time constant pressure
Figure 9: Experiment 3 pressure drop
Figure 10: Experiment 3-time constant pressure
Figure 11: Simscape Pressure vs Time Plot for Experiments 1, 2 and 3

Figure 12: Simulink Pressure vs Time Plot for Experiment 1

Figure 13: Simulink Pressure vs Time Plot for Experiment 2

Figure 14: Simulink Pressure vs Time Plot for Experiment 3




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