Research on flow and heat transfer similarity of laminated cooling structure based on overall cooling effectiveness

Considering that the experimental investigations are generally conducted under conventional pressure and temperature conditions, to make the research results applied reasonably under practically high-pressure and high-temperature environment wherein the hot-section component works, a similarity theory was conducted on the laminated cooling structure to observe its overall cooling effectiveness on the hot-side surface. Based on the simplified one-dimensional heat transfer model of film cooling plate, a corresponding similar relationship for the overall cooling effectiveness was established. From this similarity relationship, the main non-dimensional parameters were deduced and analyzed, including the adiabatic cooling effectiveness, hot-side Biot number, hot-side Nusselt number, and the ratio of convective heat transfer coefficient. By reasonably selecting the characteristic scale and the material thermal conductivity of the tested model, a similarity strategy method was proposed to ensure that the overall cooling effectiveness measured under experimental and actual working conditions is approximately the same. The above-mentioned approach similarity strategy was numerically validated through two randomly-selected groups of laminated cooling structures.