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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.

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