A Fluid Dynamics-based Modified Murray Law for Hierarchical Vein Networks in Lotus Leaves: Geometry, Transport Mechanism and Biological Implications | ||
| Journal of Computational Applied Mechanics | ||
| دوره 56، شماره 3، پاییز 2025، صفحه 663-672 اصل مقاله (733.69 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22059/jcamech.2025.397360.1514 | ||
| نویسندگان | ||
| Yan-Ping Liu1؛ JI-Huan He* 2، 3، 4، 5 | ||
| 1College of Petrochemical Engineering and Environment, Zhejiang Ocean University, Zhoushan, 316022, Zhejiang, China | ||
| 2School of Jia Yang; Zhejiang Shuren University, Hangzhou; Zhejiang, China | ||
| 3School of Information Engineering, Yango University, Fuzhou 350015, China | ||
| 4School of Mathematics and Big Data, Hohhot Minzu College, Hohhot, Inner Mongolia 010051, China | ||
| 5Department of Mathematical Sciences, Saveetha School of Engineering, SIMATS, Chennai, Tamil Nadu, India | ||
| چکیده | ||
| Lotus leaf is famous for its so-called lotus effect, which has evoked many advanced biomimetic designs, especially for surface’s wetting properties, its tree-like veins are also a source of brilliant innovations. The geometry of the veins is similar to that of blood vessels, where Murray’s law can elucidate the branched structure. However, the law is not valid for the lotus’ vein structure. Here we find a new law to reveal the geometry, and its biological understanding is elucidated, furthermore Murray’s law is a special case of the new found law. Our findings may be of great biological and technological importance, especially in plant ecology, urban traffic planning, watershed planning, and chemical engineering. | ||
| کلیدواژهها | ||
| Hierarchical structure؛ Fluid mechanics؛ Surface-enhanced transport؛ Modified Murray law؛ Geometric potential | ||
| مراجع | ||
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آمار تعداد مشاهده مقاله: 270 تعداد دریافت فایل اصل مقاله: 476 |
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