Bring to a boil and then lower to a simmer uncovered for 2 hours until meat is tender. Remove beef from the pot, shred it and then toss it with the 2 tablespoons pan juices, the lime juice, then taste and adjust seasonings.
Wrap the tortillas in foil, and heat in a 350° F oven for 10 minutes or until soft. Take each warmed tortilla and place 2 tablespoons of the shredded beef into it and roll tightly.
Heat 1 1/2 inches of canola oil in a large iron skillet and when oil is 350° F (or hot but not smoking), gently place 3 flautas into oil, seam side down, and cook on each side until crisp, 45 seconds per side. (If you don't have a thermometer, you can stick a wooden spoon into the oil and if it bubbles around it, the oil should be hot enough.)
Beef flautas | www.homesicktexan.com