Can You Calculate Reynolds Number with Limited Data on a Scaled Missile Model?

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Discussion Overview

The discussion revolves around calculating the Reynolds number for a missile launched from a submarine, specifically using limited data from a scaled model. Participants explore the implications of using a 1:10 scale model and the necessary parameters for the calculation, including temperature, velocity, and dimensions.

Discussion Character

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

Main Points Raised

  • One participant inquires whether it is possible to calculate the Reynolds number with the given data and seeks guidance on where to find relevant information.
  • Another participant provides the formula for Reynolds number and suggests that viscosity can be derived from the water temperature, indicating that a characteristic length can be chosen based on the problem context.
  • A different participant expresses confusion regarding the application of Reynolds number to a "horseshoe" shaped design and questions how to scale the model's speed and length appropriately.
  • One response asserts that the scale is already accounted for in the 1:10 model and references a source on similitude, suggesting that a characteristic length may not be necessary.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the necessity of a characteristic length for the Reynolds number calculation, with differing views on how to approach the scaling of the model and the implications of the design shape.

Contextual Notes

There are unresolved questions regarding the appropriate characteristic length to use, the impact of mass on Reynolds number, and the method for testing the model at different speeds.

eddierolling
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hi

i have to find out the reynolds number for a missile launched from a sub.

i only have the temperature of the water, the dimensions of the missile and the velovity of a model of the of the actual missile at a scale of 1:10

i havn't given any quantities because i don't want a solution.

i need to know if i can solve Reynolds number from the information given in the question and if so where to find the information i need so i can study it for my self.

any help anyone can give will be greatly appriciated.

thanks
 
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Recall that Reynolds number is
[tex]Re = \frac{Vl}{\nu}[/tex]
Where l is a rather arbitrary characteristic length. From the temperature of the water, you can calculate the viscosity, and you say that you're given the velocity of the missile.

That only leaves the length. Remember this is problem dependent and doesn't necessarily have to be the standard diameter that's used for pipe flow. Use a characteristic length that you think makes sense.
 
I'm confused about this as well. I have a very odd "horseshoe" shaped design. I would like to calculate the drag under the ocean surface at a speed of 20 knots. I have a 1:10 scale model, but no good way of testing it at speed. Do I test it in water at the appropriate temperature going at only 2 knots and then scale the Reynolds number equation by multiplying the length by 10? How does mass affect the Reynolds number? I've watched Ascher Shapiro's videos at length and I still don't get it!
 
No, your scale is already there, 1:10. You don't need a characteristic length because you have the scale change. See
http://en.wikipedia.org/wiki/Similitude_(model )

For more information
 
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