Transition to Turbulence in Rectangular Channels with Eddy Promoters: Implications to Heat Transfer Augmentation.

Computer Science – Performance

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Scientific paper

The work deals with experimental investigation of laminar-to-turbulent transition in a rectangular channel of aspect ratio 0.116 in the presence of periodic eddy promoters. The study is motivated by the role of transition in heat transfer enhancement schemes that employ flow destabilization strategies: specifically, for this type of augmentation systems, the most efficient performance (minimum pumping power per unit of heat removal) occurs in the transition region. Seven different geometries are tested: plain channel and six different arrangements of cylindrical eddy promoters. Placement of the eddy promoters in the channel, depending on the pattern, can significantly reduce Reynolds number values at transition: the critical Reynolds number (based on the average velocity and the channel height) ranges from 1500 (for a plain channel) to about 400 (for the most unstable configuration deployed). For all the cases tested, demarcation of transition can be correlated with the following expression, Re_tau = sqrt{ {| tau_{w,avoverrho }}} {H/2overnu} = 40 ~ 60,where | tau_{w,av} is the spatially averaged value of mean wall shear stress and H is the channel height. The above correlation extends to other geometries. The approximate invariance of Re_ tau at transition allows evaluation of heat transfer at transition point by using only the critical Reynolds number (Recrit). Based on Colburn analogy, Nu at transition for fluids with Pr > 0.6 can be calculated as Nu~ {10,000over Recrit} Pr^{1/3}.(Copies available exclusively from MIT Libraries, Rm. 14-0551, Cambridge, MA 02139-4307. Ph. 617-253-5668; Fax 617-253 -1690.).

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