Open AccessPortland experiments on the flow of oil in tubes
Author(s) -
S. D. Carothers
Publication year - 1912
Publication title -
proceedings of the royal society of london. series a, containing papers of a mathematical and physical character
Language(s) - English
Resource type - Journals
eISSN - 2053-9150
pISSN - 0950-1207
DOI - 10.1098/rspa.1912.0068
Subject(s) - flow resistance , radius , limit (mathematics) , flow (mathematics) , mechanics , square (algebra) , mathematics , power law , flow velocity , power (physics) , physics , geometry , thermodynamics , mathematical analysis , statistics , computer science , computer security
Experiments on Water . It is a well-known experimental fact that, in the case of water flowing in a straight circular pipe of uniform bore, the resistance per unit length is exactly proportional to the mean velocity if this is below a certain limit, which depends on the radius. It is also well known experimentally that if the mean velocity exceeds a certain limit, the resistance is approximately proportional to a higher power of the velocity. The index of this power in the case of water has been found to lie between 1·7 and 2. This is usually expressed by stating that the resistance is nearly proportional to the square of the velocity. It will be convenient to refer to these cases as flow according to the first and according to the second law respectively.