If the eyewall can be disrupted, the entire storm will be effected. Picture this: We deploy a bomb that will release a column of propellants as it falls. At the bottom of that column, detonate the main explosive. Blast will be virtually simultaneous along the length of the column. The calm air in the eye will be ideal for a uniform distribution. Will it happen like that? Who knows. If it does, what will be the effect. Who knows. Should we try it---absolutely. And soon.
This question has been asked, and answered a lot of places on the internet. Bottom line, the amount of energy released by even the largest nuclear weapons is trivial in comparison to that of a hurricane. Probably would have little effect, and might even cause it to strengthen.
Strangely I woke up in the middle of the night thinking about disrupting a hurricane with a bomb only to see it being discussed here already.
Okay, the "fuel" of a hurricane is hot air rising. All that does is add more rising hot air to the system. If it affects the hurricane at all, it simply makes it stronger, if even momentarily.
Everyone with "bomb-based" solutions needs to realize: the eyes of these monsters are tens of miles across. That's a lot of square mileage, not to mention the volume of the eye. There is no way to disrupt that system by man-made means. No way.
Even if we could, what about the next one? These are the best way the tropical and equatorial oceans have of shedding heat. If we screw with it, we'll just have to deal with a bigger storm later on.
This is not a man-made solution, except in the sense that we have to think more clearly when we put large cities and vital industries in the paths of these storms.