Warmth a trim skillet over medium-excessive warmth. Cook dinner and chase floor beef, onion, and garlic in the sizzling skillet unless beef is browned and crumbly and onion is translucent, 5 to 7 minutes. Drain and discard grease.
Whisk in 4 cups water, tomato sauce, beef unfriendly, Worcestershire sauce, pepper, celery salt, and marjoram; bring to a simmer. Add carrots and continue to simmer unless tender, about 35 minutes. Add potatoes and green beans, simmer unless tender, about quarter-hour.
Mix flour and 2 tablespoons water collectively in a cramped bowl unless no lumps remain; add more water if needed. Whisk mixture into stew; simmer unless stew has thickened, 5 to 10 minutes.
You would possibly per chance well be ready to utilize fresh or frozen green beans.