You must have a large stove to burn big oak splits like that. My 13-NC stove gets choked up with pieces that big. I'm burning white oak now, and its good stuff. However, it doesn't produce much in the way of coals for the next morning, like white ash does.
Not sure if you were replying to me or not but my brother does have a reasonable size heater. I tend to keep the splits like that for him since he can make them smaller if it suits him but can't make them larger.