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

In summary: Reynolds number for a missile launched from a sub, you can use the formula Re = Vl/nu, where V is the velocity of the missile, l is the characteristic length (which can vary depending on the problem), and nu is the viscosity of the water (which can be calculated from the water temperature). With the given information of water temperature, missile dimensions, and velocity of a 1:10 scale model, you can solve for the Reynolds number. Additionally, you can refer to Ascher Shapiro's videos for more understanding on how to calculate the Reynolds number. Remember that the scale of 1:10 is already accounted for, so you do not need to scale the length again.
  • #1
eddierolling
5
0
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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  • #2
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.
 
  • #3
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!
 
  • #4
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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FAQ: Can You Calculate Reynolds Number with Limited Data on a Scaled Missile Model?

What is the Reynolds number?

The Reynolds number is a dimensionless number used in fluid mechanics to predict the type of flow (laminar or turbulent) of a fluid in a given situation.

How is the Reynolds number calculated?

The Reynolds number is calculated by multiplying the fluid's density, velocity, and characteristic length of the flow, and then dividing that product by the fluid's dynamic viscosity. The formula is Re = ρ * v * L / μ, where ρ is the density, v is the velocity, L is the characteristic length, and μ is the dynamic viscosity.

What is the significance of the Reynolds number?

The Reynolds number helps determine the type of flow of a fluid in a given situation. A low Reynolds number indicates laminar flow, where the fluid moves in smooth, parallel layers. A high Reynolds number indicates turbulent flow, where the fluid moves in irregular, chaotic patterns.

What is the ideal Reynolds number for laminar flow?

The ideal Reynolds number for laminar flow is less than 2300. This means that the fluid will flow in smooth, streamlined layers with minimal mixing and disruption.

What is the ideal Reynolds number for turbulent flow?

The ideal Reynolds number for turbulent flow is greater than 4000. This means that the fluid will flow in chaotic, irregular patterns with high levels of mixing and disruption.

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