Horizontal water rocket thrust calculations - HELP

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Discussion Overview

The discussion centers around the calculations and considerations necessary for designing a horizontal water rocket capable of accelerating a 90kg body at a rate of 2 m/s² for one second. Participants explore the required thrust, nozzle sizes, pressures, and configurations for effective propulsion using water bottle rockets.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant calculates that a force of 190N is needed based on the desired acceleration and mass.
  • Another participant suggests using the formula F=MA to confirm the required force for the rocket's acceleration.
  • There is a discussion about whether a horizontal water rocket can develop sufficient thrust and the importance of achieving a reactionary force.
  • Some participants propose angling the jets downwards to facilitate backward thrust, which may require recalculating the necessary force considering vector components.
  • One participant mentions the need to configure the vessel to ensure all water is expelled, suggesting the use of a 90-degree bend in the nozzle.
  • Another participant shares resources, including a PDF with relevant equations and suggests using software like Excel or MATLAB for simulations of different configurations.
  • There is mention of adding soap or foaming additives to the water to potentially increase thrust.

Areas of Agreement / Disagreement

Participants express various ideas and approaches, but there is no consensus on the specific calculations, configurations, or methods to achieve the desired thrust for the horizontal water rocket. Multiple competing views and suggestions remain present throughout the discussion.

Contextual Notes

Participants have not fully resolved the mathematical steps involved in calculating the necessary pressures, nozzle sizes, and volumes required for the rocket design. There are also dependencies on specific configurations and assumptions about the behavior of water under different conditions.

markmywords
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Horizontal water rocket thrust calculations - HELP!

Hi All,

I want to accelerate a 90kg body at a rate of 2 m/s2 for a period of 1 second using thrust developed from a number of water bottle rocket jets. Based on the drag coeff calculated I believe I need to develop 190N of force.

A water bottle rocket uses a quantity of water as the working fluid which is propelled through a nozzle by a volume of pressurized air.

Where do I begin? Ideally I would like to use 3 or 4 separate rockets. How do I calculate the pressures, nozzle sizes, water volume, vessel volume/sizes required?

I have taken a look at http://www.sciencebits.com/RocketEqs but afraid my physics a bit rusty. Need some help negotiating these equations!

Many thanks

markmywords
 
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im not sure, if you use F=MA, then the force you need is the acceleration that you want 90 times 2m/s, this should give you the force that you need to apply to the rocket to get a 90KG rocket to fly at 2m/s.
 


markmywords said:
A water bottle rocket uses a quantity of water as the working fluid which is propelled through a nozzle by a volume of pressurized air.
Have you tried this in the horizontal?
 


No I haven't tried a horizontal bottle rocket but if it develops thrust and I can achieve a reactionary force (pushing against something) then I see no reason why it won't work.

Thinking about angling the jets downwards to achieve backward thrust (forward movement) - so my force required needs to be recalculated taking into account the vector??
 


markmywords said:
No I haven't tried a horizontal bottle rocket but if it develops thrust and I can achieve a reactionary force (pushing against something) then I see no reason why it won't work.

Thinking about angling the jets downwards to achieve backward thrust (forward movement) - so my force required needs to be recalculated taking into account the vector??

With normal bottles you will definitely have to angle them down. Otherwise much of the water will stay in the bottle. But you could keep the bottles vertical, and attach a 90° bent pipe to them.
 


AT, yes realize that I need to configure the vessel so that compressed air forces out all the water and a 90deg bend good idea. I need to work out what pressure, nozzle size, volumes required?
 


markmywords said:
AT, yes realize that I need to configure the vessel so that compressed air forces out all the water and a 90deg bend good idea. I need to work out what pressure, nozzle size, volumes required?

http://en.wikipedia.org/wiki/Robert_Truax

I bought a few book from this man before he died, if you search for his publications, you can get a wealth of information from his books. They pertain to steam (hot water rockets) but the information might help you in some way.
If you have trouble finding anything, let me know and I will find the publication numbers.

Ron
 


Check out the second page of this PDF, I have nothing to do with the creation of it.

It contains some relavent equations for the burn time and escape velocity of water from the nozzle. I would suggest creating an excel spreadsheet or using MATLAB to experiment with different nozzle sizes and bottle pressures to provide the thrust that you need.

Note also that the thrust depends upon the mass of the fluid exiting, some people add soap or foaming additives to the solution to give more thrust.

You may also want to simulate the effects of using different amounts of water. Here's the link, good luck.

http://sophclinic.pbworks.com/f/rocket_equations.pdf
 

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