I released a video a couple days ago on processing my last tree for the cordwood challenge. This was a tree I chose as not particular easy to split for a splitting video I'm still waiting to record. The question of how you split wood with an axe if it's cut with an axe instead of a saw vies with "what do you do with the chips" as the most common question regarding processing wood with an axe. The footage I shot for the front of that video seemed like a good stand alone video, so I edited it and posted it with some commentary.
Be aware that there is a lot going on when I'm processing this tree that is invisible to the uninitiated. If I were watching someone else do it, I could spot some of that "invisible" technique and safety stuff, but not all of it as it is very subtle and personal. The lopping operation is especially dangerous, but I'm using several things to stay as safe as possible. The most important might be the direction of cut, which means in what direction the force is pointed, the obvious reference point being the cutting edge. A close second is probably body positioning to decrease the likelihood of a stray edge contacting my body. Moderation of the force used is also extremely important. Axe work requires constant adaptation and a certain level of humility where you have to say to yourself "I can hit this really hard, but I'm not going to!" Finally, you really have to be able to hit what you're aiming at. Anyway, it's mostly a lot of chopping, but some people really seem to like that. There are some really good pointers though too. You can count on some very detailed tutorials in the future.