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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Print: 2152-5102
ISSN Online: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v38.i5.50
pages 444-449

Consequences of Indeterminate Form of Volume of Floating Balloons in Water

Ajay Sharma
Fundamental Physics Society


It is observed in critical analysis of completely submerged floating balloons in water, that under some feasible conditions, the volume of fluid filled in balloon takes indeterminate form i. e., 0/0 in equations based upon Archimedes principle. These equations became feasible 1935 years after enunciation of the principle in 1685, when Newton defined g in The Principia. If in this case definition of the principle is generalized i. e., upthrust is proportional to the weight of fluid displaced, then results are consistent. Thus, co-efficient of proportionality comes in picture, which accounts for shape of body, viscosity of medium, magnitude of medium etc. Stokes law takes in account the shape of body and viscosity of medium, and is experimentally confirmed, hence generalized form of the principle is justified, however in narrow range. Furthermore some specific experiments have been suggested to confirm effect of coefficient of proportionality. Such specific studies do not mean any comment or conclusion of the established status of the principle.

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