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What Makes a Diabolo Pellet A Diabolo Pellet? Who Sets the Parameters and Criteria Defining a Diabolo Pellet?

Sorry, I have not been on this forum for some time so did not see this thread.
To me a diabolo pellet is simply one with full bore head, followed by a waist, and then by a flared shape at the back which provides a degree of stability and is the reason the aerodynamic centre is behind the centre of gravity for most diabolo pellets. Thus, diabolo pellets use a mixture of aerodynamic and gyroscopic stabilization and belong to a group of projectiles which are aero/gyro stabilized. I would say the term diabolo came about simply because of the shape of the pellet.

As for pellets being drag stabilized again, perhaps the drag stabilized proponents can answer this. The base drag on a pellet provides the majority of the drag of a pellet and thus the claim that it stabilizes the pellet by pulling it backwards. The base drag on a slug also provides the majority of the drag on a slug, yet that for some reason is not drag stabilized, so why is that? The drag is supposed to pull the centre of pressure back behind the centre of gravity, but for some reason does not on a slug but does on a pellet.

What the drag stabilized proponents do not seem to realise is that stability and the position of the aerodynamic centre is all about moments about the centre of gravity, not forces. You could have an infinite force acting on a projectile, but if it acted through the centre of gravity it would provide no stabilization at all. The drag force from the base of a pellet may be the largest force, but it acts through the centre of gravity and thus produces no stabilizing moments, and has no effect on the position of the aerodynamic centre. Even when the pellet is at yaw, the base pressure is still the same for small angles, so the vast majority of the drag force is still acting straight through the centre of gravity basically doing nothing for the stability. We demonstrated this many years ago in one of the wind tunnels at RARDE in the UK. A series of flared base projectile models was tested for drag and stability, with ever-increasing holes in the flare until we ended up with four fins. The base drag was considerably reduced with each increase in size of the holes, but the stability remained the same and thus could not have been due to the base drag. The holes of course made no difference to the side forces which were what was really producing the stabilizing moments about the centre of gravity.

If you really want a drag stabilized pellet, you will have to attach the flare to the front of the pellet with a ball joint to allow the flare to move and thus allow the flare drag to provide the moment arm about the centre of gravity when the pellet yaws. Alternatively, you could attach a parachute to the back of the pellet with a piece of string, which would have the same effect as the ball joint on a flare. I do not think you would want either of those on your pellets.

A flare is the shape it is to produce side forces at the back of the projectile, which have a long moment arm to the centre of gravity. Thus, small side forces, produced when the projectile is at a small yaw angle, produce large stabilizing moments. The increase in drag normally associated with flares is a by product, and is a major reason flares are not used more on projectiles, hence the reason for the wind tunnel tests mentioned above. If we wanted to have a high drag projectile, which we did for some purposes, then we would use a flare as they are cheaper and easier to make than low drag fins.

Just noticed it is gone 1 o'clock here, time I was in bed.
@Miles_M At the center of this discussion is the projectile on the right.
IMG_2176.webp

Advertised as the projectile pictured here
IMG_2194.webp

The lack of a flared skirt before the shot on the actual pellet makes me question whether this can be considered a diabolo pellet with an ever so slightly contoured waist. The projectile pictured on the tin above is obviously a diabolo pellet as are the two on the left side of the first photo.

What are your thoughts here? Is the skirt on this 110 grain AEA pellet capable of flaring out enough after being shot from a .357 big-bore air rifle to create drag?
 
In the photographs, there is definitely a small flare visible at the rear of the pellet. This increase in pellet diameter will produce a positive force when the pellet yaws in the direction of the yaw, which will produce a stabilizing moment as it is behind the centre of gravity. This is because any body moving through the air at a yaw angle will produce a positive force when the cross-section of the body increases. So the flares at the back of pellets produces a stabilizing moment and try to reduce the yaw angle. The nose of the body will also produce a positive force, but this is in front of the centre of gravity and thus will be a destabilizing moment and will try to increase the yaw angle. The only exception to this is when the front of the body is completely flat with sharp edges. In this case, because the air cannot turn around the sharp edges, the flow will break away from the body side and reattach further back creating a stabilizing moment. This effect was sometimes used for experimental projectiles for short ranges as it was simpler and cheaper than fins or flares. Where the cross-section of the body decreases, there will be a negative force, i.e. in the opposite direction to the yaw angle. This is why boat tails always produce destabilizing moments from a negative force which is behind the centre of gravity.

As to if the design above is a diabolo pellet or not, since there is no definition of what a diabolo pellet is, then the manufacturer and call it what he wants. The pellet will certainly work in the same way as a normal diabolo pellet in that the flare will produce some stabilizing moment, but if it is enough to make the pellet aerodynamically stable or not remains to be seen. It will reduce the amount of aerodynamic instability from the nose and thus reduce the amount of barrel twist needed. Personally I would say the pellet is a cylindrical pellet with a bore riding front end and a slight flare at the back.

The distortion of some pellet flares by the air pressure in the barrel does not help the stability of the pellet as it moves the effective flare forwards towards the centre of gravity. The barrel is also usually a smaller diameter than the trailing edge of the flare thus also slightly reducing the moments produced by the flare.
 

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