I am currently trying to create a theoretical model (simulator) to describe the altitude that a water rocket can reach for a University project.

I am in the process of trying to mathematically describe the transient flow of water through the bottle with an initial pressure and, of course, describing the gravitational work done on the water.

If anyone knows where i can find a similar model/ equations that i can program into MatLab to compare to my experimental results it would be a massive help!

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A water rocket is a type of model rocket using water as its reaction mass. The pressure vessel (the engine of the rocket) is constructed from thin plastic or other non metallic materials (usually a used plastic soft drink bottle) weighing 1,500 grams or less. The water is forced out by compressed air. It is an example of Newton's third law of motion.

The largest, most sophisticated and ground breaking group supporting you, the serious water rocket flyer! Whether you are a beginner or an expert, the WRA2 has something for everyone.

A water rocket is a type of model rocket using water as its reaction mass. The pressure vessel (the engine of the rocket) is constructed from thin plastic or other non metallic materials (usually a used plastic soft drink bottle) weighing 1,500 grams or less. The water is forced out by compressed air. It is an example of Newton's third law of motion.

## Numerical Analysis

- anachronist
- WRA2 Member
**Posts:**216**Joined:**Sun May 07, 2017 2:18 pm

### Re: Numerical Analysis

You wouldn't be the first.

I wrote a series of articles about this, as well as created a spreadsheet that performs the numerical analysis. You can find the links on this page: http://www.nablu.com/p/water-rocketry.html

If you use any of it, I would appreciate attribution in your project report. This took me several months of work to put together.

I tried to keep the math at the algebraic level. If you want something that goes into differentiation and integration, see this and related articles: https://www.et.byu.edu/~wheeler/benchtop/thrust.php

I wrote a series of articles about this, as well as created a spreadsheet that performs the numerical analysis. You can find the links on this page: http://www.nablu.com/p/water-rocketry.html

If you use any of it, I would appreciate attribution in your project report. This took me several months of work to put together.

I tried to keep the math at the algebraic level. If you want something that goes into differentiation and integration, see this and related articles: https://www.et.byu.edu/~wheeler/benchtop/thrust.php