Crock Pot Rustic Italian Beef Ragu

lbs- Beef roast (the cheapest cut will do)

Extra-virgin olive oil

each fresh rosemary and fresh thyme (stems discarded and leaves finely chopped)

small red onion (peeled and finely chopped)

garlic cloves (peeled and finely chopped)

carrot (peeled and finely chopped)

celery stick (finely chopped)

bottle Chianti

240 gr/14 oz cans plum tomatoes

pearl barley

Salt and freshly ground black pepper

fresh or dried pappardelle

unsalted butter

grated Parmesan cheese (plus more for garnish)