Drag Force at very very high Renolds Number ?

In summary: It's just that the coefficient is more difficult to determine at higher Reynolds numbers. In summary, there isn't a general equation for drag at any value of Reynolds number. The expression for drag force between Re1 and Re10^5 is 0.5kpAv^2, but this may not be accurate for higher Reynolds numbers. The accuracy of the calculation depends on the details of the system and the desired level of accuracy.
  • #1
sunnyguha
5
0
What is the expression for Drag Force at very very High Renolds Number flow (>10^6)
as we know the expression
for drag force between Re1 and Re10^5 = 0.5kpAv^2
but this isn't valid aft 10^5 ..
so ...
 
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  • #2
There isn't any general equation for drag at any value of Reynolds number to be honest. Even the equation you quoted depends on a a coefficient that varies wildly for different environments and geometries.

Let me instead pose this question: what exactly is the situation that you are in? What are the details of the system? How high do you consider "very very high," because 10^6 is actually pretty low for quite a few situations.
 
  • #3
as in let's take an example for a sphere of radius 0.1 m moking with the speed of 100 m/sec
Renolds = pv/viscosity which gives 10^7

so what wud be the drag force calculating expression for this situation
 
  • #4
It depends on how accurate you want to be. You could use the old formula for a ballpark estimate, or you could go through the long, complicated process of finding pressure drag including the separated regions and viscous drag. It all depends on what you want.
 
  • #5
sunnyguha said:
for drag force between Re1 and Re10^5 = 0.5kpAv^2
but this isn't valid aft 10^5 ..
so ...

Since when is this not valid for Re > 10^5?

As long as you know your drag coefficient this equation is completely valid.
 

1. What is drag force at very very high Reynolds number?

Drag force at very very high Reynolds number is the force exerted by a fluid on an object moving through it at a high speed. It is caused by the friction between the fluid and the surface of the object, and it is proportional to the square of the fluid velocity and the surface area of the object.

2. How is drag force calculated at very very high Reynolds number?

Drag force at very very high Reynolds number can be calculated using the drag equation, which takes into account the fluid density, fluid velocity, and the shape and size of the object. It can also be calculated using experimental data or computational fluid dynamics simulations.

3. What factors affect the drag force at very very high Reynolds number?

The drag force at very very high Reynolds number is affected by the density and viscosity of the fluid, the shape and size of the object, and the speed of the object. Other factors such as surface roughness, turbulence, and compressibility of the fluid may also play a role.

4. How does the drag force change as the Reynolds number increases?

As the Reynolds number increases, the drag force also increases. This is because at high Reynolds numbers, the fluid flow becomes more turbulent and chaotic, resulting in higher friction and pressure forces on the object, thus increasing the drag force.

5. How does drag force at very very high Reynolds number affect the motion of an object?

Drag force at very very high Reynolds number can significantly affect the motion of an object. It can cause the object to slow down or even come to a complete stop if the drag force is greater than the propulsive force. It can also cause the object to change direction or experience turbulence, which can impact its stability and control.

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