Entrance-length dendritic plate heat exchangers. (November 2017)

• Record Type: Journal Article
• Authors: Bejan, A.; Alalaimi, M.; Sabau, A.S.; Lorente, S.
• Is Part Of: International journal of heat and mass transfer. Volume 114(2017)
• Page Start: 1350
• Page End: 1356
• Publication Date: 2017-11
• Subjects: Constructal -- Evolution -- Scaling up -- Dendritic -- Entrance length -- Heat exchanger; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; Chaleur -- Transmission -- Périodiques; Transfert de masse -- Périodiques; Electronic journals; 621.4022
• DOI: 10.1016/j.ijheatmasstransfer.2017.06.094
• Languages: English
• ISSNs: 0017-9310

Abstract

Highlights: The highest heat transfer rate between two fluids in a given volume is achieved when each plate channel length is equal to the thermal entrance length. The overall design can be thought of an elemental construct of a dendritic heat exchanger. The aspect ratio of each surface swept by fluid in cross flow should be approximately square, independent of total number of channels and volume. The maximized heat transfer rate per unit volume increases sharply as the total volume decreases, in agreement with the natural evolution toward miniaturization in technology. Abstract: Here we explore the idea that the highest heat transfer rate between two fluids in a given volume is achieved when plate channel lengths are given by the thermal entrance length, i.e., when the thermal boundary layers meet at the exit of each channel. The overall design can be thought of an elemental construct of a dendritic heat exchanger, which consists of two tree-shaped streams arranged in cross flow. Every channel is as long as the thermal entrance length of the developing flow that resides in that channel. The results indicate that the overall design will change with the total volume and total number of channels. We found that the lengths of the surfaces swept in cross flow would have to decrease sizably as number of channels increases, while exhibiting mild decreases as total volume increases. The aspect ratio of each surface swept by fluid in cross flow should be approximately square, independent of total number of channels and volume. We also found that the minimum pumping power decreases sensibly as the total number of channels and the volume increase. The maximized heat transfer rate per unit volume increases sharply as the total volume decreases, in agreement with the natural evolution toward miniaturization in technology.