I don't know if there are any differences between what I know of the straight leg spin kick and the official Muay thai way since no one has taught it to me in Muay Thai but I'll tell you the way I do it.
Putting all your weight on your lead leg you whip you hips and butt backwards towards your target with your back leg fully straight and sideways (meaning toes to the side, heel prominently rushing towards your target). You come around with your leg on a wide arc and hit your target from the side. You try to connect with the heel and you can aim for the temple, ribs or thigh but I've never actually seen it used on the ribs effectively. I've seen knockouts and their opponents leg being disabled with it.
Damian Mavis
Honour TKD
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