The influence of Dean Number on heat transfer to Newtonian fluid through spiral coils with constant wall temperature in laminar flow

摘要

The influence of Dean Number on the heat transfer to petroleum base oils (SN70, SN150 and SN300, flowing through four spiral coils, maintained at constant wall temperature and having average curvature ratio of 0.01568, 0.019, 0.02466 and 0.03011 are investigated in the present study. The fluid, with fully developed velocity profile and underdeveloped temperature profile (the Graetz problem), flows inside the tube at the entrance. Four correlations are developed which are valid for a range of Dean Number from 2 to 1043, Prandtl Number from 76 to 298, and Reynold's Number from 12 to 6013. These correlations are not available in literature and are developed for the first time for the given conditions. The correlations are compared with the correlations developed by earlier investigators and it is found that they are in good agreement. The developed correlations are corrected to account for the variable property relations for the viscous fluids used in the experiment. The average deviations in the developed correlations and the readings obtained by experiment are found to be <± 3%. The comparison of the developed correlations with the correlations of other investigators on helical coils showed an increase in heat transfer in spiral coils than the helical coils. The reason for this is that the magnitude of the secondary flow varied continuously with an increase in the mixing of the fluid particles occurring throughout the length of the spiral coil.