Constructal microdevice manifold design with uniform flow rate distribution by consideration of the tree-branching rule of Leonardo da Vinci and Hess-Murray rule

[+] Author and Article Information
Erdal Cetkin

Izmir Institute of Technology, Department of Mechanical Engineering, Urla, Izmir 35430, Turkey

1Corresponding author.

ASME doi:10.1115/1.4036089 History: Received September 28, 2016; Revised January 20, 2017


In this paper, we show how the design of a microdevice manifold should be tapered for uniform flow rate distribution. The designs based on the tree-branching rule of Leonardo da Vinci and the Hess Murray rule were considered in addition to the constructal design. Both da Vinci and Hess-Murray designs are insensitive to the inlet velocity, and they provide better flow uniformity than the base (not tapered) design. However, the results of this paper uncover that not only pressure drop but also velocity distribution in the microdevice plays an integral role in the flow uniformity. Therefore, an iterative approach was adopted with five degrees of freedom (inclined wall positions) and one constraint (constant distribution channel thickness) in order to uncover the constructal design which conforms the uniform flow rate distribution. In addition, the effect of slenderness of the microchannels (Svelteness) and inlet velocity on the flow rate distribution to the microchannels have been documented. This paper also uncovers that the design of a manifold should be designed with not only the consideration of pressure distribution but also dynamic pressure distribution especially for non-Svelte microdevices.

Copyright (c) 2017 by ASME
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