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On Some Extensions of Murray's Law

Tesch K.

TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk

2010

Vol. 14, No 3

227-235

This paper cites the original Murray’s law about optimal radii. Extensions to some class of non-Newtonian flows that are described by the Ostwald-de Waele model and the Newtonian flows for elliptical cross-sections. A generalisation of Murray’s law for multi-objective formulation is also given. It is shown that the original formulation of the optimal condition is a particular case of the multi-objective formulation.