What causes pressure in form drag?

[JTC]

Consider a ball flying through the air.

When there is turbulence, and the flow separates, say on a SMOOTH ball, then in the rear, there is circulation in the wide wake. There is pressure on the front, but no pressure on the rear due to the fact that the fluid is "busy" circulating around. So there is form drag.

When there is NO turbulence (or little) and the flow does not separate as early, say on a golf ball, then there is LESS circulation in the rear in the smaller wake.

So my question is: What gives rise to the pressure in the rear, when there is an "annealed" or "healed" flow (when the dimples on the golf ball make the wake smaller).

Where is the higher pressure coming from in the rear to match the pressure at the front end?

(I am not asking about the dimples on golf balls. I am only asking why the pressure goes up in the rear. Yes, I know there is a smaller wake but that does not explain why the pressure goes up.)

 

[BvU]

https://www.scientificamerican.com/article/how-do-dimples-in-golf-ba/

 

[JTC]

https://www.scientificamerican.com/article/how-do-dimples-in-golf-ba/

BvU, I am sorry, I think you might have misunderstood. The question is NOT about the dimples.

I just want to know... when there is less circulation in the rear, why does the pressure go up?

 

[JTC]

https://www.scientificamerican.com/article/how-do-dimples-in-golf-ba/

In other words... Why is there lower pressure in the circulation? I would guess Bernoulli's equation in in the slower flow, but Bernoulli should not apply
do to the viscous nature.

And why is the pressure higher without the circulation?

The article falls flat right where I want the answer.

 

[Lord Jestocost]

Maybe, this might be of help: [PDF]chapter 3 flow past a sphere ii: stokes' law, the bernoulli equation ...

 

[BvU]

Bernoulli should not apply due to the viscous nature.

are you saying Bernoulli does not apply to air ?

 

[JTC]

are you saying Bernoulli does not apply to air ?

Well, this is where all the confusion for me is.

I would think that no, it does not. But if one is studying effects induced by viscosity, then Bernoulli cannot be used to justify something. I think.

 

[BvU]

Bernoulli definitely applies (see story about truck and car being pushed towards each other), but not the full extent since there is energy loss.

When I read the Jestocott link or this link, the emphasis is on the size of the wake. But you stll need the pressure in the wake to be lower in order to get that effect of bigger wake $\Leftrightarrow$ more drag.

 

[Lord Jestocost]

https://farside.ph.utexas.edu/teaching/336L/Fluid/node116.html