Numerical Modelling of Pulse Combustor Tail Pipe Heat Transfer.

Statistics – Computation

Scientific paper

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Scientific paper

Computational fluid dynamics analysis was used to perform multi-dimensional simulations of flow in a pulse combustor tail pipe. The tail pipe flow is complicated by periodic reversals amid large rates of turbulent heat transfer. The primary objectives were to understand the mechanisms causing heat transfer enhancement under pulsing flow conditions, and to develop a flow-based model capable of predicting heat transfer rates over a broad range of operating conditions. The experiments of Dec et al. (Combustion and Flame, 77, 80 and 83), in a square cross-section tail pipe, were used as the reference. The research focussed on modelling the near-wall turbulence transport, by treating the tail pipe as a two-dimensional channel. An experimental baseline pulsing case was simulated using the wall-function model, and an alternative near -wall turbulence model known as the Boundary Layer Wall Model. The latter uses an algebraically prescribed wall layer turbulence length scale, and allows much greater phase resolution between the near-wall and the bulk flow. Heat transfer predictions from these quasi-steady models compare poorly with the time-resolved measurements, and fail to match the observed increase in the instantaneous heat transfer during times of flow reversal. An unsteady wall layer model, with a robust prescription for the length scale damping factor, A^ {+}, was developed. Allowing A ^{+} to vary with the wall layer parameter, u^{+}p ^{+}, helps to model the effects of adverse and favourable pressure gradients on the wall layer turbulence during a pulsation cycle. A sequence of lag equations is also used, to incorporate the delayed response of the wall layer turbulence to the time-varying pressure gradient. Simulations of many operating conditions, spanning a range of pulsation frequencies, amplitudes and mean flow Reynolds numbers, indicate that the improved model is capable of capturing the essential trends observed by Dec et al.

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