Numerical study of transient conjugate heat transfer of the cryo-supersonic air-quenching based on a Mach-weighted pressure-based method

Abstract

In this paper, a Mach-weighted compressible SIMPLEM algorithm on collocated curvilinear grids is developed to investigate the transient conjugate heat transfer characteristics of the cryo-supersonic air-quenching of a metal disk, which further integrates the efficiency of the pressure-based methods in low Mach number flows and the robustness of density-based methods in high Mach number flows by a Mach-weighted function. The adoption of the linear interpolation or the AUSM+ flux definitions in the conventional Rhie-Chow momentum interpolation depends on the local Mach number. In order to achieve a synchronous and efficient heat transfer between fluid and solid domain, a unified conjugate heat transfer model is established by considering the solid domain as an incompressible fluid with zero velocity and large viscosity on the basis of a quasi-steady approach. The oxide scale forming on the surface of the metal disk is taken account into the calculation due to its major impact on the transient conjugate heat transfer. As an example to validate the accuracy and reliability of the developed formulation, the conjugate heat transfer process of the cryo-supersonic air-quenching of a Q235 metal disk is implemented both numerically and experimentally. The transient conjugate heat transfer characteristics and the effects of inlet temperature and pressure are analyzed in detail as well.