Abstract
The flow equations of a “general” non-elastic fluid are solved for the case of steady, incompressible, laminar flow between parallel boundaries in linear movement, and with an arbitrary pressure gradient. Solutions are given for the equations derived from the theory of phenomenological macro-rheology as developed by R einer and R ivlin, and for two empirical flow models, the Rabinowitsch equation and the “power-law” pseudoplastic. The relation between the empirical and the general equations is discussed. The problem treated is of engineering significance in several cases involving non-Newtonian flow, including viscosity-pump design and the leakage past pistons.
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