Analysis and Optimization of Flow Characteristics in Hollow Microneedle Lumen Based on Poiseuille's Law

Microneedle patches represent an innovative transdermal drug delivery technology that offers painless administration and improved patient compliance. An in-depth understanding of the hydrodynamic characteristics in microneedle channels is crucial for optimizing drug delivery efficiency. This paper explores the flow characteristics of drug solutions within microneedle channels, focusing on the applicability of Poiseuille's law and the influence of geometric parameters on flow rate. Based on Poiseuille's law, an analytical flow model of microneedle array is established in this study. The results show that the inner lumen radius is the most critical parameter ( S R =4), significantly higher than those of pressure and needle length. When R = 35μm, L = 250μm, ΔP = 30kPa, the optimal design can achieve a maximum flow rate of 4741 μL/min. This study provides a theoretical basis and rapid design methodology for geometric parameter optimization of microneedle patches, offering valuable reference for advancing transdermal drug delivery technology.