大学物理 ›› 2024, Vol. 43 ›› Issue (11): 74-.doi: 10.16854/j.cnki.1000-0712.240015

• 大学生园地 • 上一篇    下一篇

冰淇淋顶端尖状凸起形成过程的流体力学原理分析

金子路,鲁申怡,彭士香   

  1. 北京大学元培学院,北京100871
  • 收稿日期:2024-01-10 修回日期:2024-03-12 出版日期:2024-12-20 发布日期:2025-01-08
  • 作者简介:金子路(2004—),男,河北青县人,北京大学元培学院2022级本科生.

Fluid mechanics analysis of the formation process of the tip of ice-cream

JIN Zi-lu, LU Shen-yi,PENG Shi-xiang   

  1. Yuanpei College, Peking University, Beijing 100871, China
  • Received:2024-01-10 Revised:2024-03-12 Online:2024-12-20 Published:2025-01-08

摘要: 本文从生活中软冰淇淋机生产的甜筒顶端常形成尖状凸起的现象出发,以泊肃叶定理作为理论依据,建立冰淇淋的形成模型. 模型中假设冰淇淋原料为成分均一的、不可压缩的、但具有黏性的流体. 我们从制作过程、温度变化和操作员手法影响的角度对假设合理性进行分析,借助计算机模拟软件简化流体模型,由此推导出冰淇淋顶端尖状凸起形成过程,即在流管中心处冰淇淋受到的粘滞阻力最小,相较于其他位置更容易下落,最终形成冰淇淋顶端的尖状凸起. 这一模型的建立与原理的探究,能够更好地理解与应用流体力学原理、更好地理解生活中的现象与推动工业生产进步.

关键词: 泊肃叶定理, 冰淇淋, 流体力学

Abstract: Based on Poiseuille’s theorem, the formation model of ice cream is established to explain the phenomenon that the tip of the cone produced by the ice cream machine often forms a pointed protrusion. We assume that the raw material of ice cream is a homogeneous, incompressible, but viscous fluid. After analyzing the temperature change during the production process and operator’s manipulation, we confirm the rationality of the hypothesis of the formation model. Using computer simulation software to simplify the model, the formation process of the tip of the ice cream is concluded, that is, the ice cream is subjected to the least viscous resistance in the center of the flow tube, and it is easier to fall than other positions, and finally the tip of the ice cream is formed. The establishment of this model and the exploration of the principle can better understand and apply the principle of fluid mechanics, better understand the phenomena in life and promote the progress of industrial production.

Key words: Poiseuille’s theorem, ice cream, hydrodynamics