Transient Temperature Response of an Annular Flow with Step Change in Heat Generating Rod

Abstract

An analysis is made on the transient temperature response of fluid and of heat generating rod in the case of annular flow. Special consideration is given to the effects of the rod heat capacity and radial thermal conduction in the rod during the transient. The analysis is based on the following assumptions: (1) Initially the system has a uniform temperature distribution, and the rod undergoes a step change in heat generation; (2) the temperature of the fluid entering the annular space is kept constant; (3) the velocity distribution of fluid is uniform; (4) all physical properties remain unchanged during the transient; (5) axial thermal conduction in the rod is neglected in comparison with that in the radial direction; (6) axial thermal conduction in the fluid is neglected in comparison with axial thermal convection. The present result is compared with values by quasi-static solution for various heat transfer parameters.