I'm sorry for not being clear. I want to find a function for the waterflow out from the tank depending on the height of the tank. I've already measured the flow out from two different heights. I was wondering if I should try to find a mathematical expression for it based on these two values, or...
Homework Statement
http://imgur.com/rhaQabj
radius of watertank = 5.5cm
Homework Equations
https://en.wikipedia.org/wiki/Bernoulli's_principle
https://en.wikipedia.org/wiki/Darcy%E2%80%93Weisbach_equation
The Attempt at a Solution
I've tried to put up to equations on the form...
Homework Statement
http://imgur.com/DSBFIeO
I want to find the flowrate through this pipe based on the pipe's diameter, height of the pipe and the pressure difference. I tried to use Bernoulli, but since the diameter on either end is the same, the terms cancel out. I guess Bernoulli's equation...
So if we have all the pipe lengths and internal diameter of the pipes we can calculate flow depending on the height? It would be really nice if a good approxiamation would be that if two valves are opened, it would be twice as much flow than if just one are opened, but that would be to much of a...
Thank you, that makes sense! The fluid in the tanks are just water though. Do you think the viscosity will have an effect on the system? In this experiment I'm going to make a PID-regulator and looking at when the system is stationary with just one of the valves are open. Then we are going to...
Homework Statement
I'm going to regulate a tank using a PID-controller. I want to simulate this in MATLAB though and met a problem while calculating the mathematical model.
The problem is the following: The three valves are either fully open or fully closed. The diameter in the pipes are all...
Let \{ [a_j, b_j]\}_{j\in J} be a set of (possibly infinitely many closed intervals in R whose intersection cannot be expressed as a disjoint union of subsets of R. Prove that \bigcup\limits_{j \in J} {\{ [{a_j},{b_j}]\} } is a closed interval in R.
I don't understand how to attack this...