Awww, poh' lil' Pancake's feelings are hurt acuz his favorite his getting beaten by Wolverine.
Man up, pussy. Wolverine is winning this round because your "Flash is more powerful than Superman and Hulk and Spider-Man combined and better than Stephen Hawking at astrophysics" arguments are pure fanboy drivel.
Your problem is that you're only argument is that Wolverine wouldn't be able to hit Flash with his claws. Maybe that's true, though I think you're forgetting that he is one of the best hand-to-hand fighters in the Marvel Universe. The best fighters will all tell you that they go on feeling more than anything else, and he'll have the sense to jab a claw through Flash's throat if the fight boils to fisticuffs.
Your other problem is that you're underestimating adamantium. Adamantium doesn't bend, it doesn't give, and it doesn't break. If the Flash slammed into Wolverine at moving near light speed, he'd shatter his bones.
Imagine a car speeding at a solid concrete wall at 100 MPH. What happens? Does the car slam through the concrete wall unharmed, or does the car get totaled? Now true, Wolverine won't be anchored to the ground... but he's still 300 pounds of the hardest metal on earth. Imagine a car going 100 MPH and hitting a moose... made of titanium. Guess what? It still gets total. Yeah, the moose dies, but it doesn't have a healing factor that doesn't quit and unbreakable bones protecting it's vital organs.
Flash has his healing factor as well, but it's not going to be able to heal half the bones in his body that shattered after he hit Wolverine at full speed, and Wolverine is going to have a perfectly intact skeleton and mostly unharmed organs. The worst he'd suffer after those types of injuries is sore flesh, but that wouldn't be enough to stop him from capitalizing on the opportunity and eviscerating Flash.
Wolverine has been beaten before (just like the Flash), but I don't think he's ever been defeated by physical attackers. He's lost to people that have magnetic abilities (Magneto), energy abilities (Gambit), and magical abilities (Ogun). He lost to The Hulk once, but that's the Incredible Hulk, but it's hard to count that against him considering it was literally his first appearance ever in a comic book.
You're also wrong about Flash's strength level. From DC's wikia...
Versus Wolverine's....
So Flash has attacks that can mimic super strength while Wolverine has actual super strength. I know which pony I'd bet on in that arm wrestling contest.
So stop playing victim and crying about how Flash lost a popularity contest. He didn't. He ran into a guy that he can't beat, period end.