I'm storing water under low pressure (3 psig) in a PU-coated fabric cylinder and I'm trying to define the profile of the bag when it's sitting on a flat surface (to determine area, hence volume and mass).
In zero-g, it would be round, naturally. But the force of gravity will deform the bag and spread it across a contact surface beneath. The contact surface can be defined as the area required to support the weight of the bag above it and solved by iteration, but I have a nagging suspicion that the weight of the water will further deform the bag.
There's a geometric solution, I'm sure, but it's not coming to me. I know: the practical solution is to simply fill it and weigh it! But I'd like a geometric proof as back-up.
In zero-g, it would be round, naturally. But the force of gravity will deform the bag and spread it across a contact surface beneath. The contact surface can be defined as the area required to support the weight of the bag above it and solved by iteration, but I have a nagging suspicion that the weight of the water will further deform the bag.
There's a geometric solution, I'm sure, but it's not coming to me. I know: the practical solution is to simply fill it and weigh it! But I'd like a geometric proof as back-up.
