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

240gr/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