For flow around a ball (or a ball moving through a fluid), the air resistance will be due to both friction drag and pressure drag.

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There will be a boundary layer (and the resulting friction drag) on the front part of the ball. There will also be a turbulent wake behind the ball resulting in reduced pressure behind the ball and hence a drag force due to higher pressure in front of the ball than behind it.
Now, let’s consider a few useful facts about boundary layers. The flow in a boundary layer can be either laminar or turbulent. If the leading part of the surface is smooth then the first part of the boundary layer will be laminar and it will become turbulent at some point if the surface is long enough. If, however, the leading part of the surface is rough, then the entire boundary layer will be turbulent. Now the most interesting fact of all: A turbulent boundary layer will remain attached to the surface farther around to the back of the ball than a laminar boundary layer will. This results in a smaller turbulent wake behind the ball and less pressure drag. See the diagram at the right as an illustration of this effect. The frictional drag is greater with a turbulent boundary layer than with a laminar boundary layer, but the frictional drag is much smaller than the pressure drag for flow around a sphere, so the pressure drag effects are predominant.
So, you see, fluid mechanics can explain why a dimpled golf ball goes farther!