Suppose you are drinking some milkshake from a straw.You start sucking it but bite the straw before it's fully filled and lift it out the glass.
What happens next ?
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There is a column of air between the milk and the bite point of the straw. If the milk runs down, this will create a vacuum in that region, which thus exerts a force on the milk to keep it in equilibrium.
The milk will also not run up the straw, as this will require some external force to compress that air column. There is no such external force.