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Perturbation analysis of the helical flow of non-Newtonian fluids with application to a recirculating coaxial cylinder rheometer. (English) Zbl 0805.35099
Summary: This paper analyzes the flow of non-Newtonian fluids between infinitely long coaxial cylinders, when the inner cylinder rotates with given angular velocity \(\Omega\), and a given axial flow rate, \(Q\), is superimposed on this rotational motion. Such helical flow is of significance in the modelling of the action of a recirculating coaxial cylinder rheometer, where the axial flow is superimposed on the standard cup-and-bob rheometer to allow accurate rheological measurements involving fluids that are settling in nature.

MSC:
35Q35 PDEs in connection with fluid mechanics
76U05 General theory of rotating fluids
35R30 Inverse problems for PDEs
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