1. The "coupled tank" problem is described as a set of two differentlal equations as follows: A1. (dh/dt) = F1- F2 Az. (dhz/dt) = F2 - Fø Where; A is the area of the tank, h is the height of the fluid, and Fis the rate of flow. a. Write a simulation program to solve the following b. Describe how you would run the simulation for a case such as : A =1.0, Az=2.0, Fo=0.02, F1=.01, Fz=.01 , and varying Initital values for (h1o, hzo) such as: (0,0), (2,0), (0,1.5), (1,0), (0,1). c. Analyze your results and discuss them?
1. The "coupled tank" problem is described as a set of two differentlal equations as follows: A1. (dh/dt) = F1- F2 Az. (dhz/dt) = F2 - Fø Where; A is the area of the tank, h is the height of the fluid, and Fis the rate of flow. a. Write a simulation program to solve the following b. Describe how you would run the simulation for a case such as : A =1.0, Az=2.0, Fo=0.02, F1=.01, Fz=.01 , and varying Initital values for (h1o, hzo) such as: (0,0), (2,0), (0,1.5), (1,0), (0,1). c. Analyze your results and discuss them?
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question
1
![1. The "coupled tank" problem is described as a set of two differential equations as
follows:
A1.(dhy/dt) = F1- F2
Az. (dha/dt) = F2 - Fo
Where; A is the area of the tank, h is the height of the fluid, and Fis the rate of flow.
a. Write a simulation program to solve the following
b. Describe how you would run the simulation for a case such as : A1 =1.0, Az=2.0,
Fo=0.02, F1=.01, F2=.01 , and varying initial values for (hjo, hao) such as: (0,0), (2,0),
(0,1.5), (1,0), (0,1).
c. Analyze your results and discuss them?
F1
hị
A1
F2
hz
Az
Fo](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feaa6cfc7-9f0a-4e04-a275-7c1a3bb75049%2Fff228ff3-950e-497d-bf79-42cbc5e3a7b4%2F4dm2qc9_processed.png&w=3840&q=75)
Transcribed Image Text:1. The "coupled tank" problem is described as a set of two differential equations as
follows:
A1.(dhy/dt) = F1- F2
Az. (dha/dt) = F2 - Fo
Where; A is the area of the tank, h is the height of the fluid, and Fis the rate of flow.
a. Write a simulation program to solve the following
b. Describe how you would run the simulation for a case such as : A1 =1.0, Az=2.0,
Fo=0.02, F1=.01, F2=.01 , and varying initial values for (hjo, hao) such as: (0,0), (2,0),
(0,1.5), (1,0), (0,1).
c. Analyze your results and discuss them?
F1
hị
A1
F2
hz
Az
Fo
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