For combustors a heat transfer augmentation of two to five times higher than expected has been reported. Experiments, where the temperature profile in the tail pipe of the pulse combustor has been measured, give no indication why the heat transfer should be augmented. The objective is to study the heat transfer of an oscillating flow between two parallel plates. A set of governing equations is formulated from first principles. Analytical solutions can then be obtained for both the velocity and temperature fields for the special flow considered. The heat conduction vector can so be determined and the heat transfer at the plates over one cycle is found to be dependent of the frequency of the oscillations as well as the phase difference between the pressure and temperature oscillations. From the analysis it is found that for certain intervals of the phase difference and the frequency of the oscillations an augmented heat transfer can be found. This means that an augmented heating (or cooling) process can be arranged in a steady flow by superimposing oscillations.

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