Mean-Parameter Modeling of Oscillating Flow

Abstract

After looking at the exact solution for laminar incompressible oscillating flow between parallel plates with a longitudinal temperature gradient, the momentum and energy equations are reast in terms of mean (section average) velocity and temperature. It is shown that fluid shear stress and normal temperature gradient at the wall are amplified and phase shifted compared to the steady-flow case and some practical equations for friction factor and Nusselt number are given. However, the mean-parameter solution differs from the exact solution in regard to net advected energy, thereby prompting the introduction of an apparent enhanced fluid conductivity to account for the difference.