Looks like a scratch built model and possibly not based on any particular ship.
I am posting a picture of my HMS Grenville a 1:96 scale destroyer from the 1940's. its 3' long and about 3" wide.
If you wan't to detail your model I suggest you look on Google and find pictures of IJN destroyers and choose one of a similar design. I suspect you may need to rework some of the superstructure to get the scale correct. Both Traplet and Model boats offer plans of destroyers which may help.
Dave