A two-dimensional numerical model of a spiral counter/low non-adiabatic heat recirculating combustor (Swiss roll) including the effects of variable properties, viscous flow, surface-to-surface radiative heat transfer, one-step chemical reaction, and heat loss from the burner to its surroundings was used to study its thermal effect. Extinction limits on the different thermal conductivities of Swiss rolls were determined. It is shown that heat conduction along the combustor wall has a major impact on the performance and that the optimal wall thermal conductivity is smaller than air thermal conductivity at lower Re. The optimal thermal conductivities are varied at the other different inlet condition since the heat conduction effect is more efficient at smaller Re. The optimal turn number effect of Swiss roll is also be proven is not always beneficial to the combustor performance. The optimal turn number of the specific Re has been defined.
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