Revisiting T+ Versus Pry+ Scaling in Turbulent Flows With 0.01 ≤ Pr ≤ 760 Using RANS

Abstract

This paper presents the computational analysis of thermally and hydraulically developing two-dimensional incompressible turbulent flow over the smooth flat plate with different fluids (liquid metal to oil) having a Prandtl number (Pr) in the range 0.01–760 with ANSYS. Assessment of non-dimensional temperature (T+) with normalized wall distance (y+) over the entire range of Pr reveals a possible dependence of initiation of log-law region on Pr. This allows investigating the scaling of T+ with Pry+ over the wide range of Pr. Finally, some limitations of wall functions at extreme Pr are presented. © 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.