The only information I have is from my doctor, of course, and all doctors give different advice - But according to mine, eating every 2 to 3 hour is too often. I was on liquids (high Protein shakes only) for the first two weeks and had 2 ounces (only) 4 times per day. Once I moved to foods, I was told to space my meals at least 4 to 5 hours apart.
I would check with your surgeon, if I were you.