Using surface integrals for checking Archimedes' law of buoyancy

@article{Lima2012UsingSI,
title={Using surface integrals for checking Archimedes' law of buoyancy},
author={F. Lima},
journal={European Journal of Physics},
year={2012},
volume={33},
pages={101-113}
}

A mathematical derivation of the force exerted by an inhomogeneous (i.e. compressible) fluid on the surface of an arbitrarily shaped body immersed in it is not found in the literature, which may be attributed to our trust in Archimedes' law of buoyancy. However, this law, also known as Archimedes' principle (AP), does not yield the force observed when the body is in contact with the container walls, as is more evident in the case of a block immersed in a liquid and in contact with the bottom… CONTINUE READING