A Study on the Flows of Dilute Polymer Solutions : 1st Report, Frictional Resistance of a Rotating Disk in a Dilute Polymer Solution
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Under certain conditions of turbulent pipe flow, dilute polymer solutions display a significant reduction of frictional resistance. A similar effect on a rotating disk is reported by J.W. Hoyt and A.G. Fabula.In this report, the problem of the flow around a rotating disk in a dilute polymer solution of infinite extension is treated. In the analysis, the Denn model is taken as the rheological model for polymeric fluids, and the equations of motion are solved approximately with the perturbation method when the flow is laminar, while the momentum integral equations are utilized in the case of turbulent flow. The results show that the frictional resistance in a laminar flow case becomes a little greater than that in a solvent, but in the case of turbulent flow it decreases compared with that of a solvent.
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