A note on the Buckingham equation
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Friction losses of the laminar flow of a Bingham plastic fluid through a pipe is characterised by a friction factor, f, which depends on two dimensionless parameters, the Reynolds and the Bingham numbers. The relationship is a fourth degree equation for f, named after Buckingham (1921). In this short communication, we present a novel expression for its only physically meaningful solution, which is easier to handle than those presented previously by other authors.