# 连通器原理 - Communicating Vessels

连通器原理的交互式模拟，展示压强平衡和液面关系

> 标准页面: https://elysiatools.com/zh/visualizations/communicating-vessels

- **分类:** Physics

## 概述

Interactive simulation of communicating vessels principle demonstrating pressure equilibrium and liquid level relationships. Features fundamental principle: same liquid at rest has equal levels (h₁ = h₂), pressure formula P = ρgh, and pressure balance at bottom. U-tube visualization with different tube diameters (left wide, right narrow) showing that diameter doesn't affect equilibrium height. Dual-liquid comparison: when different liquids (ρ₁ ≠ ρ₂) occupy sides, levels adjust according to pressure balance ρ₁gh₁ = ρ₂gh₂, giving level ratio h₁/h₂ = ρ₂/ρ₁ (denser liquid has lower level). Real-time visualization of liquid levels with color coding (blue: left liquid, red: right liquid), pressure markers at bottom showing equal pressure point P, and liquid level indicators h₁, h₂. Interactive comparison bar chart showing side-by-side height and density relationship. Adjustable parameters: left liquid density ρ₁ (500-2000 kg/m³) with presets (water 1000, oil 800, mercury 13600, alcohol 789, seawater 1260), right liquid density ρ₂, tilt angle θ (-30° to +30°), tube widths (left 30-100%, right 20-100%), and base liquid height. Display toggles for liquid levels, pressure points, force vectors, and grid. Preset scenarios: Same Liquid (ρ₁ = ρ₂, h₁ = h₂), Different Liquids (oil vs water showing level difference), and Tilted Vessel (demonstrating vertical height independence). Real-time calculations: left level h₁, right level h₂, level difference Δh, and bottom pressure P. Educational content covering communicating vessels principle, pressure equilibrium derivation, different liquid behavior, practical applications (water pots, tea kettles, boiler gauges, ship locks, construction levels), and tilting effects demonstrating that vertical height (not path length) determines pressure. Multi-language support (zh, en, fr, de, es, pt, ru).

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