🧱 热阻（单层 / 多层）Thermal Resistance Calculator

使用说明与常见问题How-to & FAQ

「热阻（单层 / 多层）」是什么？What is the Thermal Resistance Calculator tool?

单层热阻 R = d / (k A)；多层串联把各层 R 相加，总传热 Q = ΔT / R_total。每行一层：厚度(m) 导热系数 面积(m²，可省略共用)。本地处理。Single-layer resistance R = d / (k A); layers in series add; heat flow Q = ΔT / R_total. One line per layer: thickness(m) conductivity area(m², optional shared). Processed locally.

如何使用「热阻（单层 / 多层）」？How do I use the Thermal Resistance Calculator tool?

在文本框中每行填写一层材料的厚度（m）、导热系数和面积（可省略，改用共用面积），即可得到各层热阻和总热阻；填写总温差时还会给出热流。结果会随输入实时更新。Enter one layer per line in the box: thickness in m, conductivity and, optionally, area (otherwise the shared area is used) to get each layer's resistance and the total; add the overall ΔT to get the heat flow. The result updates as you type.

并联？Parallel?

并联时 1/R = Σ 1/Rᵢ，热流优先走热阻小的路径。In parallel 1/R = Σ 1/Rᵢ - heat prefers the lower-resistance path.

能举个计算实例吗？Can you show a worked example?

例如在「热阻（单层 / 多层）」中填 共用面积 m² = 10，总温差 K（可选） = 20，结果区显示：总热阻：0.264286 K/W；第 1 层 R：0.25 K/W；第 2 层 R：0.0142857 K/W；热流 Q：75.6757 WFor example, entering Shared area m² = 10, Overall ΔT K (optional) = 20 in the Thermal Resistance Calculator gives: Total resistance: 0.264286 K/W; Layer 1 R: 0.25 K/W; Layer 2 R: 0.0142857 K/W; Heat flow Q: 75.6757 W

哪些输入会被检查？Which inputs are validated?

「热阻（单层 / 多层）」会检查这些输入——「共用面积 m²」：必须填写，须大于 0；「总温差 K（可选）」：可留空；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 Thermal Resistance Calculator checks its inputs — "Shared area m²": required, must be greater than 0; "Overall ΔT K (optional)": optional; 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?

「热阻（单层 / 多层）」的设置：「共用面积 m²」默认 10；「总温差 K（可选）」默认 20。每次生成结果都按当前设置处理。Settings in the Thermal Resistance Calculator — "Shared area m²" default 10; "Overall ΔT K (optional)" default 20. 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?

「热阻（单层 / 多层）」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 Thermal Resistance 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.

「热阻（单层 / 多层）」免费吗？需要注册吗？Is the Thermal Resistance Calculator free? Do I need an account?

「热阻（单层 / 多层）」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 Thermal Resistance 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.