Rub the inside of a medium saucepan with cut sides of garlic; discard garlic. Add wine and juice to the pan; bring to a simmer over medium heat. Reduce heat to medium-low. In medium mixing bowl, toss cheeses with flour. Add cheese mixture to the saucepan in handfuls, stirring constantly after each addition until cheese is melted and smooth. Transfer to a small slow cooker or fondue pot for serving; serve immediately.