Theoretical Study of Heat Transfer on Horizontal Cylinder Subjected to Force Longitudinal Vibration

Abstract

In the present work ,steady two - dimensional laminar forced convection heat transfer with parallel flow on a horizontal tube has been analyzed numerically for a wide range of the Reynolds numbers of (Re.=.102, 103, 104, and 105) with Amplitude parameter (A) and vibrational angle in the range ( = and ). Two types of boundary conditions have been considered. The first, when the tube wall is heated with constant uniform temperatures, while the second when the wall is heated by applying a uniform heat flux. The results are presented in terms of isotherms and streamlines to show the behavior of the fluid flow and temperatures fields. In addition, some graphics are presented the relation between average Nusselt number and the various parameters.This research demonstrated that the rate of heat transfer is increased due to increase of amplitude and vibration angle as well as Reynolds number increase. The results also show that the average Nusselt number is a strong function of Reynolds number, vibrational angle amplitude parameter and the boundary conditions. Two different correlations have been made to show the dependence of the average Nusselt number on the Reynolds numbers, vibrational angle and amplitude parameter.