If no other variables are permitted, a smaller diameter chamber will have to draw more air past any given point within that chamber within the same period of time.
Think about it:
If two pipes are identical in every respect except that one chamber has twice the circumference of the other, and if exactly 10 units of air are drawn through each pipe in exactly 5 seconds, then any given point within the larger bowl gets half as much air moving past it over that 5 seconds as any given point within the smaller bowl gets over that same period of time.
This means that, all other things being equal, the smaller bowl's tobacco will be stoked hotter.
Perhaps this is why many prefer to smoke folded flakes in smaller diameter bowls: the same draw is given more "leverage" to stoke the more densely packed (and therefore more difficult to burn) tobacco.
Experienced smokers don't notice this only because of their well honed muscle memory. They subconsciously adjust draw, pace, etc. to various smoking situations (bowl, tobacco, etc.).
Area = pi r squared
Circumference = 2pi r
Volume is actually what is most relevant if discussing fluid flow but we'll assume the depth of the chambers are equal so area will be sufficient.
.75" chamber =.375 is radius. 1" chamber =.5" is radius.
3.1415 x.375 x.375 =.44 Sq inches
3.1415 x.5 x.5 =.78 Sq inches
A relatively small increase in bowl diameter has a significant increase in area. This is due to the radius being squared. Just for grins and giggles, what if the diameter were doubled from .75" to 1.5"?
3.1415 x.75 x.75 = 1.76 Sq inches
Doubling the diameter actually quadruples the area. All this assumes the tobacco is lit and burns evenly across the entire top surface which we know isn't the case.
So if you like lots of smoke, use a large bowl.
I read in some psychology journal somewhere that pipe chamber preference is inversely proportional to penis size. Sorry Embers.