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Flow of non-Newtonian fluid through circular tubes
Authors:A Ghoshal
Institution:(1) Department of Mathematics, Univeristy of Toronto, Toronto-181, Canada
Abstract:Summary According to Newton's law of viscosity tauychi = Dvychi/dy. But experiments have shown that tauychi is indeed proportional to –dv x/dy for all gases and for homogeneous nonpolymeric liquids. There are however, a few industrially important materials, e.g. plastics, asphalts, crystalline materials that are not described by the equation given by Newton's law of viscosity and they are referred to as non-Newtonian fluids. The steady state rheological behaviour of most fluids can be expressed by the generalised form, tauychi = –eegr(dvychi/dy) where eegr may be expressed as a function of eitherdv x/dy or tauychi (where eegr is independent of the rate of shear, the behaviour is Newtonian with eegr=mgr). Numerous empirical equations or lsquomodelsrsquo have been proposed to express the steady-state relation between tauychi anddv x/dy. The flow of Newtonian fluids through circular tubes have been discussed before by many. Here we shall discuss the case of two such models of non-Newtonian fluids through circular tubes. The flow of fluids in circular tubes is encountered frequently in Physics, Chemistry, Biology and Engineering.
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