# 热传导模拟

材料中热量扩散的交互式演示

> 标准页面: https://elysiatools.com/zh/visualizations/heat-conduction

- **分类:** Physics

## 概述

Interactive simulation of heat conduction demonstrating the heat equation and temperature evolution in materials. Features the fundamental heat equation: ∂T/∂t = α·∇²T in 1D and 2D, thermal diffusivity: α = k/(ρc), Dirichlet boundary conditions (fixed temperature), and Neumann boundary conditions (insulated/zero flux). Two visualization modes: (1) 1D Rod mode showing temperature distribution curve T(x) evolving over time with color-coded temperature bar (blue=cold 100K to red=hot 1000K), temperature vs position graph, and real-time statistics (time, max/min temperatures); (2) 2D Plate mode showing temperature heatmap with isothermal colors evolving over time, color gradient visualization, and real-time statistics (time, max/min/average temperatures). Adjustable parameters: thermal diffusivity α (1-200), grid size (20-100), animation speed (0.1-3.0x), initial temperature (100-1000 K), left boundary condition (fixed/insulated), right boundary condition (fixed/insulated), and boundary temperatures (100-1000 K). Initial condition options: uniform temperature, Gaussian heat source (central hot spot), step function (hot/cold regions), and random distribution. Finite difference numerical method with automatic stability adjustment: dt ≤ dx²/(4α). Educational content covers heat conduction mechanism (atomic/molecular collisions), heat equation derivation from energy conservation, boundary condition types and effects, steady-state solutions, thermal diffusivity of common materials (copper, aluminum, steel), and practical applications: building insulation design, electronics cooling, heat exchanger optimization, cooking and food processing, geothermal systems, and thermal protection in spacecraft. Multi-language support (zh, en, fr, de, es, ru, pt).

## 相关内容

- [零级反应 - Zero-Order Reaction](https://elysiatools.com/zh/visualizations/zero-order-reaction): 零级反应动力学和浓度随时间变化的交互式可视化
- [一级反应 - First-Order Reaction](https://elysiatools.com/zh/visualizations/first-order-reaction): 一级反应动力学和指数浓度衰减的交互式可视化
- [二级反应 - Second-Order Reaction](https://elysiatools.com/zh/visualizations/second-order-reaction): 二级反应动力学和双分子碰撞动力学的交互式可视化
- [阿伦尼乌斯方程 - Arrhenius Equation](https://elysiatools.com/zh/visualizations/arrhenius-equation): 温度对反应速率影响的交互式可视化 - 探索活化能、指数因子和速率常数的关系
- [可逆反应 - Reversible Reaction](https://elysiatools.com/zh/visualizations/reversible-reaction): A ⇌ B 可逆反应动力学的交互式可视化 - 探索正逆反应速率、平衡常数和浓度随时间的变化
- [连续反应 - Consecutive Reaction](https://elysiatools.com/zh/visualizations/consecutive-reaction): A → B → C 连续反应动力学的交互式可视化 - 探索中间物浓度峰值、决速步和所有物种的完整演化
- [链式反应 - Chain Reaction](https://elysiatools.com/zh/visualizations/chain-reaction): 自由基链式反应聚合的交互式可视化 - 探索引发、增长、终止步骤，链增长动画和分子量分布
- [勒夏特列原理 - Le Chatelier's Principle](https://elysiatools.com/zh/visualizations/le-chateliers-principle): 勒夏特列原理的交互式可视化 - 探索浓度、压强和温度变化如何影响化学平衡，配合分子动力学动画展示平衡移动过程