Abstract
In order to elucidate convective heat transfer in time-varying stagnation flows, a mathematical model was developed to study the nonlinear dynamics of the hydrodynamic and thermal boundary layers within a planar stagnation region to imposed temporal variations in both the freestream velocity and surface heat flux. Such a model has practical utility in the study of heat transfer to gas turbine blades, to experimental work involving pulsatile stagnation flows, and to the development of miniature thermal sensors. Equations are not linearized in order to preserve the influence of nonlinearitie s on dynamical behavior. As model parameters are varied, dramatically different responses arise due to the influence of nonlinearitie s. Time-averaged Nusselt numbers decrease with increasing pulse magnitude and are in excellent agreement with experimental results. Interactions between variations in the incident flow velocity and surface heating lead to very complex behavior in the thermal boundary layer, surface temperature, and Nusselt number responses.
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