Longitudinal flow square array

J. H. Kim, Heat transfer in longitudinal laminar flow along circular cylinders in a square array. Fluid Flow and Heat Transfer over Rod or Tube Bundles (S.C. Yao and P.A. Pfund, eds.), Winter annual meeting of the American Society of Mechanical Engineers, December 2-7, New York, 1979, p. 155. 

The friction factor and Nusselt number for longitudinal laminar flow between a triangular array and a square array are discussed in this section. 

Square Array. A square array is displayed in Fig. 5.39. The fully developed friction factor for longitudinal flow in such a virtual channel has been investigated by Sparrow and Loeffler [240], Shih [243], Rehme [244, 245], Malak et al. [247], Meyder [257], Kim [258], Ramachan-dra [238], and Ohnemus [259]. The/Re is given in Fig. 5.39. It can be approximated by the following equation [237] ... 

Miyatake and Iwashita [255] also investigated the developing longitudinal laminar flow between a square array of cylinders with uniform wall temperature. The local and logarithmic Nusselt number can be obtained using the following correlations ... 

FIGURE 5.39 Fully developed / Re and Nusselt numbers for longitudinal laminar flow in a square array [237]. 

Fully developed turbulent flow and heat transfer in triangular and square arrays have been analyzed by Deissler and Taylor [261, 262]. The friction factors for longitudinal flow between the cylinders in a triangular and a square array are given in Fig. 5.40. Correspondingly, the Nusselt numbers, in terms of the Stanton number, defined as Nu/(Re Pr), are given in Fig. 5.41, where the cylinders are considered to be uniformly heated. 

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