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

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.