Author(s): Y. Ogihara; N. Miyazawa

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Abstract: In order to establish a fundamental theory for pipe flow of solid-liquid mixtures, this paper analyzes the pipe flow of Bingham fluids from a different viewpoint of the equation of Buckingham-Reiner. An extended Reynolds number is introduced, so that the well-known Moody diagram can be used for non-Newtonian fluids without any modification. Experiments were carried out using mixtures of water and bentonite. As a result, laws of frictional resistance in pipelines are found to hold by replacing the ordinary Reynolds number with the extended Reynolds number. A dimensionless coefficient included in the extended Reynolds number is determined which has values in the range from 1/8 to 1/6 in laminar flow. Also, it is found that the coefficient of head loss due to sudden enlargement becomes about 11 times larger than the value of water and the coefficient of head loss due to bend becomes about 8 times larger as the Reynolds number decreases.

DOI: https://doi.org/10.1080/00221689109499003

Year: 1991