Impeller Sizing

For the sake of this discussion, we will only consider centrifugal pumps – but if you are doing rockets and not using hydrogen, that is a good assumption. The pump on a rocket is broken up into 3 main parts: the inducer, the impeller, and the volute. The inducer is a low pressure rise pump that ┬álimits cavitation in the impeller; it is only necessary for high specific speed pumps, which is most of rocketry. The impeller is the main pumping element and is effectively a paddle wheel that takes slow moving fluid from the core and ejects it at high speed from its sides. The volute takes the high speed fluid and slows it down, converting the high speed to high pressure. All told, they make up a rocket pump, but we will just go over the basic sizing of the impeller and not worry about fun things like velocity triangles today.

All of the basics of a standard rocket pump from SP-125.
All of the basics of a standard rocket pump from SP-125.
A specific petrol impeller I did for some people from aRocket.
A specific petrol impeller I did for some people from aRocket.

Once you have done all of the basic sizing that we talked about last week, you have the basic properties of the pump system but no sizes. If you want to do a detailed pump sizing, I would recommend NASA SP-125 and SP-8109 as it is a bit more complicated than a blog post. But, today, let’s get you the two biggest pieces of information you need: outlet diameter and outlet height. These are useful to determine the mass and manufacturability of the pump, as outlet height is usually the smallest geometry and diameter of the impeller and, thus, the volute determines most of the mass properties for a pump.

The process for exit diameter is iterative and consists of the following equations (everything in ft, GPM, ft/s, and RPM):

Head_Coefficient = gravity * Head_Rise / (Tip_Velocity)^2

Specific_Diameter = Tip_Diameter * Head_Rise^0.25 / Flowrate^0.5

Tip_Diameter = Tip_Velocity / (pi * RPM)

Then use the plot below.

Head Coefficient as a function of Specific Speed and Specific Diameter (from SP 8109).
Head Coefficient as a function of Specific Speed and Specific Diameter (from SP 8109).

So now iterate on that for a bit, and we have the outlet diameter.

To find the exit height the equation is:

Exit_Height (in) = Flow_Rate(GPM) / (3.12 * pi * exit_diameter(in) * exit_radial_velocity(ft/s) * contraction_factor)

where the contraction factor is usually estimated as 0.9 and the radial velocity can be estimated by:

exit_radial_velocity = flow coefficient * tip_velocity

Flow coefficient is usually between 0.01 and 0.15 and can be found on the plow below.

Flow Coefficient plot from NASA SP-8109.
Flow Coefficient plot from NASA SP-8109.

I hope this has all been useful in determining how to size a impeller; obviously the final design is more complicated with flow angles, but these basics should point you in the correct direction.

25 thoughts on “Impeller Sizing”

  1. Unquestionably believe that which you stated.
    Your favorite reason seemed to be on the web the simplest thing
    to be aware of. I say to you, I certainly get annoyed while people think about
    worries that they just don’t know about. You managed to hit the nail upon the top and defined out the whole thing without having side-effects , people can take a
    signal. Will probably be back to get more. Thanks

  2. you’re in reality a good webmaster. The web site loading pace is incredible.

    It kind of feels that you are doing any distinctive trick.
    Also, The contents are masterwork. you have done a great
    job in this topic!

  3. Hello just wanted to give you a brief heads up and let you know
    a few of the pictures aren’t loading properly. I’m not
    sure why but I think its a linking issue. I’ve tried it in two different
    internet browsers and both show the same
    outcome.

  4. We’re a group of volunteers and starting a brand new
    scheme in our community. Your site provided us with helpful information to work on. You
    have performed an impressive job and our whole neighborhood
    will probably be thankful to you.

  5. Please let me know if you’re looking for a article writer for your weblog.
    You have some really good articles and I think I would
    be a good asset. If you ever want to take some of the load off, I’d love to write some articles for your blog in exchange
    for a link back to mine. Please send me an e-mail if interested.
    Many thanks!

  6. Hi! I’m at work browsing your blog from my new iphone 3gs!
    Just wanted to say I love reading your blog and look forward
    to all your posts! Keep up the great work!

Comments are closed.