首页Home › 科学与工程Science & Engineering
💧 表面张力（毛细管 / 液滴）Surface Tension Calculator
毛细管上升：γ = ρ g h r / (2 cos θ)；液滴重量法：γ = mg / (2 π r)。结果用 N/m = J/m²。本地处理。Capillary rise: γ = ρ g h r / (2 cos θ); drop-weight: γ = mg / (2 π r). Result in N/m = J/m². Processed locally.
使用说明与常见问题How-to & FAQ
「表面张力（毛细管 / 液滴）」是什么？What is the Surface Tension Calculator tool?
毛细管上升：γ = ρ g h r / (2 cos θ)；液滴重量法：γ = mg / (2 π r)。结果用 N/m = J/m²。本地处理。Capillary rise: γ = ρ g h r / (2 cos θ); drop-weight: γ = mg / (2 π r). Result in N/m = J/m². Processed locally.
如何使用「表面张力（毛细管 / 液滴）」？How do I use the Surface Tension Calculator tool?
先在「方法」中选择毛细上升法或滴重法，再填写对应的液体密度、上升高度、管半径、接触角或液滴质量，即可得到表面张力（N/m）。结果会随输入实时更新。Choose the Method first (capillary rise or drop weight), then enter the liquid density, rise height, tube or tip radius, contact angle or drop mass it needs to get the surface tension in N/m. The result updates as you type.
水的表面张力？Water?
20 °C 纯水约 72.8 mN/m，随温度升高而下降。Pure water at 20 °C is about 72.8 mN/m and falls as temperature rises.
能举个计算实例吗？Can you show a worked example?
例如在「表面张力（毛细管 / 液滴）」中填 方法 = 毛细管上升，液体密度 kg/m³ = 1000，上升高度 mm = 30，管 / 滴嘴半径 mm = 0.5，接触角 ° = 0，液滴质量 g = 0.05，结果区显示：表面张力 γ：0.0735499 N/m；mN/m（dyn/cm）：73.55For example, entering Method = Capillary rise, Liquid density kg/m³ = 1000, Rise height mm = 30, Tube / tip radius mm = 0.5, Contact angle ° = 0, Drop mass g = 0.05 in the Surface Tension Calculator gives: Surface tension γ: 0.0735499 N/m; mN/m (dyn/cm): 73.55
哪些输入会被检查？Which inputs are validated?
「表面张力（毛细管 / 液滴）」会检查这些输入——「液体密度 kg/m³」、「上升高度 mm」、「管 / 滴嘴半径 mm」、「液滴质量 g」：必须填写，须大于 0；「接触角 °」：必须填写；绝对值超过 10¹⁵ 的数也会被拒绝。不符合时结果区显示具体提示，不会给出数字。The Surface Tension Calculator checks its inputs — "Liquid density kg/m³", "Rise height mm", "Tube / tip radius mm", "Drop mass g": required, must be greater than 0; "Contact angle °": required; numbers above 10¹⁵ in absolute value are rejected too. When a value fails, the result area names the problem instead of showing a number.
有哪些选项可以调整？What options can I adjust?
「表面张力（毛细管 / 液滴）」的设置：「方法」可选 毛细管上升、液滴重量（默认 毛细管上升）；「液体密度 kg/m³」默认 1000；「上升高度 mm」默认 30；「管 / 滴嘴半径 mm」默认 0.5；「接触角 °」默认 0；「液滴质量 g」默认 0.05。每次生成结果都按当前设置处理。Settings in the Surface Tension Calculator — "Method": Capillary rise, Drop weight (default Capillary rise); "Liquid density kg/m³" default 1000; "Rise height mm" default 30; "Tube / tip radius mm" default 0.5; "Contact angle °" default 0; "Drop mass g" default 0.05. The result always uses the current settings.
计算结果可以用于作业或工程吗？Can I use the results for homework or engineering?
「表面张力（毛细管 / 液滴）」使用教科书标准公式（公式写在说明和常见问题中），适合学习和估算核对；涉及安全的工程设计请以规范和实测为准。The Surface Tension Calculator uses standard textbook formulas (given in the description and FAQ), which is good for learning and checking estimates; for safety-critical engineering follow codes and measured values.
「表面张力（毛细管 / 液滴）」免费吗？需要注册吗？Is the Surface Tension Calculator free? Do I need an account?
「表面张力（毛细管 / 液滴）」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Surface Tension Calculator is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.