If I change k factor, will it affect fire pump capacity?

k =. C d2

 so we have relation between k & d if k Increase d the same 

d :Sprinkler Diameter in inch.

c : constant

k :Standard 5.3 –5.8 " PERCENT OF NOMINAL1/2" 

DISCHARGE" =

if we need more discharge from the sprinkler like the high in the factory more than m so k=.5 and d=3/4"

so the diameter of pipe increase and the pump capacity.

yes pump capacity change but why you will change the k factor?