A Study on the Flows of Dilute Polymer Solutions : 3rd Report, Flow Field and Heat Transfer around a Circular Cylinder

Abstract

Viscoelastic fluids such as polymer solutions show anomalous phenomena that are not observed in purely viscous fluids. In such situations, relating with heat transfer and possibility of using a hot-wireanemometer method in such fluids, the problem of the flow around a circular cylinder is a basic one to be solved. In this report, the problem of the flow field and heat transfer of a two-dimensional steady laminar flow past a cylinder located perpendicular to the uniform flow of a dilute polymer solution is treated analitically. From the results of the analysis the following are obtained : (1) the drag coefficient is larger than that of the solvent, (2) the separation point moves backward compared with that of the solvent because of the visco-elastic behaviour, (3) the heat transfer coefficient is small compared with that of the solvent when Reynolds number is relatively small such as for a flow past a hot-wire anemometer.