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About this Abstract
Meeting 2026 Annual International Solid Freeform Fabrication Symposium (SFF Symp 2026)
Symposium 2026 Annual International Solid Freeform Fabrication Symposium (SFF Symp 2026)
Presentation Title Leonardo, Murray, and Hack: An Investigation of Flow Uniformity in Nature-inspired Branching Networks
Author(s) Yash Mistry, Aniruddha Talange, Morgan Nunez, Zubin Mistry, Gokul Chandrasekaran, Chad Westover, Puneet Achpal, Dhruv Bhate
On-Site Speaker (Planned) Dhruv Bhate
Abstract Scope Branching networks have received significant interest from mathematicians, biologists and physicists. Yet there is no capability that merges ideas from these domains in the generation of branching forms for fabrication with additive manufacturing for engineering applications. This research aims to address this gap by developing a computational approach that integrates mathematical, physical, and biological laws within the context of fluid flow in branching channels. Three laws proposed for branching in natural system by Leonardo, Murray and Hack are examined. Originating from tree architecture, vascular systems, and river deltas respectively, these three laws represent distinct approaches to specifying the geometric relationships that constrain the design of a branching structure. Computational modeling and additive manufacturing are leveraged to enable simulation-driven and experimental studies of fluid flow in different branching designs. The findings suggest that Murray’s Law optimizes flow resistance, while Leonardo’s Law exhibits a closer approximation to uniform flow distribution.
Proceedings Inclusion? Undecided

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