piping system simulation 2

[amorrison]

For my personal education I would like to develop the math system (differential equations?) to simulate a simple home water supply system.

System Description

Well or tank supply (various water levels)
>pump c/w pump curve
>bladder expansion tank (PV relationship)
>piping friction losses
>water tap discharge at different flow rates

A active variable plot during system operation would be nice.
Any recommendations on where to start? Thanks.

 

[CRG]

Establish:
* Level of detail
* Accuracy you want
* List your assumptions
* Load cases you want to look at

Sketch typical system of interest and label nodes


Roll up your sleeves and go to work

 

[CARF]

Also define what should be the output of your model.
And do you want a steady state or dynamic model?

Matlab / Simulink is good software to solve differential equations and make dynamic simulations.

http://www.mathworks.com/

Cheers,
C.

 

[Cooky]

I have developed a small program that calculates pressure drop in pipes.

http://mysite.wanadoo-members.co.uk/pressure_drop2

Feel free to use part of my program if you wish.

Good luck and happy learning!!

 

[amorrison]

<CARF> I would like the model to be dynamic.

<General> As this is a learning exercise I would like to create/setup the differential equations myself
so a paper or textbook describing this would be an asset.

 

[CARF]

amorrison,

There a several good books on the mathworks site i.e.

Computational Methods for Process Simulation
W. Fred Ramirez

This book presents a time-domain approach to modern process control and is written for students and professionals in chemical, control and instrumentation, and process control engineering.

http://www.mathworks.com/support/books/book1678.html?category=0&language=1

What you typically need to do is to set-up the dynamic mass and energy balance of the tank-pump-pipe system.

Some of the (steady stae) equations you are looking for can be downloaded from my website:

http://www.carf-engineering.com

Hope this helps,
CARF