Consider two liquids of densities . Depth (measured form the top) of the top-fluid is and that of the bottom-fluid is
Put the co-ordinate axis at the bottom (left). The governing equation for the static fluid is
or
On integration,
Similarly,
or
One can get similar expression by putting the co-ordinate axis at the top of the surface, with z-axis pointing vertically downward (right):
or,
On integration
Similarly,
or,
Note: Both expressions are same! |