ON SOME EXTENSIONS OF MURRAY’S LAW

Abstract

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.

Keywords

• fluid mechanics
• bioflows