Buoyancy

Buoyant force in a layered fluid

As shown in figure (L-10.2) an object floats at an interface between two immiscible fluids of density .

Fig. L-10.2: Buoyant force in a layered fluid
Fig. L-10.3: Element with hydrostatics forces

Considering the element shown in Figure L-10.3, the buoyant force is

                                                                    L-10.3

where are the volumes of fluid element submerged in fluid 1 and 2 respectively. The centre of buoyancy can be estimated by summing moments of the buoyant forces in each fluid volume displaced.
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