I recently realized that if I turned my coffee cup downward, all the liquid spills out easily. This amazement prompted me to wonder about the impacts of surface tension for a situation in which the radius is much smaller than my cup. I might bring it up to my professor soon though she is not covering this topic for another few weeks.
If I have a system that has a capillary tube that has a much smaller diameter than my cup filled with a fluid of constant density and viscosity in which it is static at the moment in which my coffee cannot move in this container, I am wondering if it would have two meniscus at each end, the first at the top to correspond with my pressure of coffee vapor and the bottom to represent contact with the room pressure and if they would be the same shape.
I ran into this diagram online investigating the issue which I thought could be useful.