Flow of non-Newtonian fluid through circular tubes |
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Authors: | A Ghoshal |
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Institution: | (1) Department of Mathematics, Univeristy of Toronto, Toronto-181, Canada |
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Abstract: | Summary According to Newton's law of viscosity y = Dvy/dy. But experiments have shown that y 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, y = –(dvy/dy) where may be expressed as a function of eitherdv
x/dy or y (where is independent of the rate of shear, the behaviour is Newtonian with =). Numerous empirical equations or models have been proposed to express the steady-state relation between y 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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