Numerical study on small-scale longitudinal heat conduction in cross-wavy primary surface heat exchanger
Abstract The longitudinal heat conduction is usually neglected during the analysis of cross-wavy (CW) primary heat exchanger. In this paper, an anisotropic heat transfer numerical model is proposed to analyze the local thermal field of primary surface plate affected by the small-scale longitudinal heat conduction. Moreover, a detached numerical model is used for simplifying grid and improving computational stability. It shows that the temperature distribution is non-uniform in the anisotropic heat transfer model. The small-scale longitudinal heat conduction makes the temperature distribution of plate become more uniform and enhances the heat exchanger performance. The temperature difference has little effect on the contribution of longitudinal heat conduction, while the contribution of longitudinal heat conduction increases with the increase of the inlet temperature and Reynolds number.
In this paper the physical meaning of a nonlinear partial differential equation (nPDE) of the fourth order relating to wave theory is deduced to the first time. The equation under consideration belongs to a class of less studied nPDEs and an explicit physical meaning is not known until now. This paper however bridges the gap between some known results and a concrete application concerning wave theory. We show how one can derive locally supercritical solitary waves as well as locally and nonlocally forced supercritical waves and analytical solutions are given explicitly. ::: ::: Keywords: Nonlinear partial differential equations, evolution equations, supercritical solitary waves, locally supercritical waves, non-locally supercritical waves.