![]() No matter how you load and unload a point in a system, if elasticity is maintained the result will be the same for a given set of loads. Superposition requires that the stress state of the point be path independent, which is the case with elastic conditions. The principle of superposition states that you can add the effects of different loads on a single point. Circumstances are identified in which the second row of cooling holes may be detrimental to cooling performance.Elastic solutions to stresses induced by loads at the surface have their limitations, but they allow the use of the principle of superposition. The theory is experimentally evaluated by independently varying the coolant temperatures of the two rows. Superposition theory is then extended to the context of multiple coolant temperatures and a new nondimensional parameter is identified, which governs cooling performance. A double row consisting of an upstream slot and a downstream row of 7–7–7 cooling holes were first evaluated with a single coolant temperature to demonstrate that classical superposition theory applies well to the present configuration. The film cooling effectiveness is investigated for double rows of cooling holes wherein the two rows have different coolant temperatures. There are a number of ways that coolant may issue from different cooling hole rows at different temperatures, one of which is simply the necessarily different internal channels through which the coolant must pass. In the present work, we consider the additive effects of multiple rows of coolant holes, but now also with coolant issuing at different temperatures. In this way, design work is aided by classical superposition theory prior to higher fidelity experiments or simulations that would account for fluid dynamic interaction for which superposition cannot account. The classical method of superposition has been used for several decades to provide an estimate of the adiabatic effectiveness for multiple sets of already well-characterized film cooling hole rows. Journal of Verification, Validation and Uncertainty Quantification.Journal of Thermal Science and Engineering Applications.Journal of Offshore Mechanics and Arctic Engineering.Journal of Nuclear Engineering and Radiation Science.Journal of Nondestructive Evaluation, Diagnostics and Prognostics of Engineering Systems.Journal of Nanotechnology in Engineering and Medicine.Journal of Micro and Nano-Manufacturing.Journal of Manufacturing Science and Engineering.Journal of Engineering Materials and Technology.Journal of Engineering for Sustainable Buildings and Cities.Journal of Engineering for Gas Turbines and Power.Journal of Engineering and Science in Medical Diagnostics and Therapy.Journal of Electrochemical Energy Conversion and Storage.Journal of Dynamic Systems, Measurement, and Control.Journal of Computing and Information Science in Engineering.Journal of Computational and Nonlinear Dynamics.Journal of Autonomous Vehicles and Systems. ![]() ASME Letters in Dynamic Systems and Control.ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering.Mechanical Engineering Magazine Select Articles.
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