Generalizing multi-branching radial symmetric flow structures

Abstract

This study revisits the design of tree-shaped flow networks in disc-shaped bodies, focusing on thermal management applications. The key objectives are to achieve equal point distribution along the disk periphery and minimize flow resistance at each bifurcation point. The literature highlights the challenge of balancing fluid and thermal performance simultaneously. To address this, the authors propose a multi-branching approach and hydraulic diameter setting, allowing flexibility in network growth.The optimization process involves minimizing flow resistance as the objective function, employing a constrained minimization technique with an interior point algorithm. By solving this optimization problem, the geometric features of the network are determined. Notably, the research uncovers a memory effect in the geometry and overcomes computational time limitations. The Svelteness, defined using the concept of configuration area, aids in distinguishing between different design possibilities and identifying the evolutionary direction.Increasing the complexity of the network while minimizing the total branch length leads to the discovery of the optimal architecture configuration. These findings provide valuable insights for optimizing symmetric tree designs, improving thermal and hydraulic performance.