I can't see where the smoke is actually coming from but to the side of the engine on the o/s
Hi ithink you might be correct,
perhaps taking -Aux belt off and turn each pulley by hand , and see if any are locking up, incl -aircon and alternator pulley
might be best option,
have you changed the belt?i had timing belt done on mine and then it chewed the aux belt up twice.changed all tentioners and crank pully then it was fine
Don't have the eLearn for your car, but it will be similar to others.
The belt is tensioned with an automatic spring-loaded tensioner, on the lower run, between the crank and alternator. In the centre of the tensioning pulley, (not the spring housing) is a hexagon. You'll need a good fitting spanner or socket, with a long handle, to pull the tensioner away from the belt. While holding this, and pulling faces from the strain, (or is that just weak me?), slip the belt off the pulleys. Don't let go of the tensioner until fingers are out. Release the tensioner gently.
Now you can try to turn the various pulleys to see which one is reluctant. Hopefully water pump, as it will be the cheapest, or perhaps the tensioner itself. Alternator or aircon (if fitted) are a bit more expensive.
The aircon pulley should be free to rotate until the aircon is activated. It has an electromagnetic clutch that engages when the pump is needed, just like the fridge in your kitchen. If you cannot turn it, it has seized. Not a common problem. If all the pulleys are ok, but the belt shows signs of distress, it could be the aircon pump seized, so the belt will only squeal/struggle when the aircon is engaged. Until summer, you could just leave the aircon off, (normal heating will still work) and let the pulley spin.
Good luck, and may all your bills be little ones.
Crank pulley will of course be difficult to move, as you are trying to turn the engine.
If alternator and water pump are fine, check the tensioner very thoroughly, as this is the most likely suspect.
While the belt is off, try to see where it has been burning. If alt or w/pump seized, belt will be burnt/damaged on its ribbed side. If the tensioner seized, belt will be damaged on its outside smooth face. It will need a new belt of course. But if you cannot determine which pulley is stopping, refit old belt and next time it squeals, lift bonnet and see which one has stopped. Try to keep out of way in case belt lets go. A good torch may be useful to see through the smoke.
Water pump is timing belt driven not aux belt...
While the aux belt is off fire the car up and see if the noise is still there which could indicate a timing belt issue.
I'm was just sitting looking at it now and sniffing it, lol, it does smell ever so slightly burnt and there are two places where it has slighht marks...From what you've said, the belt is off now and you can look at that indoors. Is it worn/melted on one side of it, or does it look as though the ribs have taken the hit?
If it's one side of the belt then have a careful look at the tensioner. Looking from the front of the car, check if it's pointing at an odd angle (look across the edge of one of the other pulleys so that your line of sight lines it up with the tensioner).