Effects of shape factors on flow and heat transfer in corrugated-undulated channels with sinusoidal waves

Abstract

Three-dimensional numerical simulations of flow and heat transfer in crosscorrugated-undulated channels with sinusoidal waves under laminar flow conditions are reported. This simulation adopts the multi-channel computational domain. The main aim of this study is to investigate the effects of shape factors of the undulated plate and Reynolds number (Re) on flow and heat transfer. Data for Nusselt number (Nu) and friction factor (f) are presented for air flowrates in the range 100 ≤ Re ≤ 1500. Performance evaluation and analysis of entry effects are made. The results confirm that the effects of both undulation height and Re are significant but that the effect of undulation pitch is much less marked. As the height of the undulated plate increases, f decreases; the effect of the undulation pitch on f has similar characteristics. Minimum f is obtained in the largest height (CP-UH0) and the largest pitch (CP-UP0) channels, respectively. For the heat transfer, the results indicate that the average Nu with increasing height first decreases and then increases at the same Re, and the maximum average Nu is achieved on the CP-UH0 geometry; the average Nu, however, is nearly independent of the pitch. The maximum local Nu (Nu C or Nu U) is located in the upstream region of the crest of the conjugate channel and near the downstream end of the trailing edge. The minimum local Nu is situated around the four corners where the top plate touches the bottom one. Performance evaluation shows that the channels having the largest undulation height or largest pitch are optimal. The average Nu having the largest undulation height (CP-UH0) geometry is about ten times higher and the concomitant f is 18.52 times higher, when compared with a straight channel having a square cross-section. With the same reference channel, the average Nu having the largest undulation pitch (CP-UP0) geometry is 9.11 times higher at the cost of a 22.12 times higher f.

Keywords

corrugated-undulated channels heat transfer enhancement laminar flow shape factors

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