# 热机与制冷机 - Heat Engine & Refrigerator

热力学循环和效率的交互式可视化

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

- **分类:** Physics

## 概述

Interactive visualization of heat engines and refrigerators demonstrating thermodynamic cycles, efficiency analysis, and energy flow. Features the fundamental equations: Thermal efficiency η = W/Q_h = 1 - Q_c/Q_h showing energy conversion from heat to work, COP_cooling = Q_c/W for refrigerators (heat removed per work input), COP_Heating = Q_h/W for heat pumps (heat delivered per work input), Carnot efficiency η_Carnot = 1 - T_c/T_h representing theoretical maximum efficiency, First Law of Thermodynamics ΔU = Q - W (energy conservation), Ideal Gas Law PV = nRT. Real-time visualization includes: (1) P-V Diagram canvas showing thermodynamic cycles with pressure-volume plots, multiple cycle types (Carnot, Otto, Diesel cycles), animated current state marker moving along cycle path, color-coded processes (compression in red, expansion in blue, isothermal in green), area under curve representing work done, cycle direction arrows (clockwise for heat engines, counter-clockwise for refrigerators), dynamic scale adjustment based on pressure/volume parameters; (2) Piston Animation showing realistic cylinder-piston-crankshaft mechanism with connecting rod, combustion chamber with color-coded temperature (blue=cold, red=hot), piston rings detail, four-stroke cycle visualization (intake, compression, power, exhaust), crankshaft rotation synchronized with cycle phase, gas color changes during combustion, temperature indicator showing current gas temperature; (3) Energy Flow Diagram displaying hot reservoir (T_h) and cold reservoir (T_c) as thermal sources, central engine/refrigerator unit, animated energy flow arrows with intensity modulation, Q_h arrow (heat from/to hot reservoir), Q_c arrow (heat to/from cold reservoir), W arrow (work output/input), real-time energy balance display, COP values for refrigeration mode; (4) Four-Stroke Display showing circular stroke sequence with numbered positions (1: Intake, 2: Compression, 3: Power/Combustion, 4: Exhaust), animated indicator tracking current stroke position, color-coded active stroke highlighting, stroke labels in multiple languages, cycle phase synchronization with piston animation. Interactive parameters: Hot reservoir temperature T_h (300-1000 K), Cold reservoir temperature T_c (100-500 K), Compression ratio (4-20:1), Maximum pressure (10-100 bar), Animation speed control (0.1-5x), Cycle type selection (Heat Engine, Refrigerator, Carnot, Otto, Diesel). Quick presets: Gasoline Engine (Otto cycle, Th=2300K, r=10:1), Diesel Engine (Diesel cycle, Th=2200K, r=18:1), Home Refrigerator (Th=320K, Tc=260K), Heat Pump (Th=340K, Tc=280K). Display options: toggle P-V path overlay, energy flow animation, temperature display. Educational content covers heat engine operation (converting thermal energy to mechanical work through thermodynamic cycles, efficiency limits from Second Law, irreversibilities reducing real efficiency, practical applications in power generation and transportation), refrigerator and heat pump principles (reverse cycle requiring work input to transfer heat against natural gradient, COP can exceed 1 unlike efficiency, vapor compression refrigeration cycle, applications in air conditioning and food preservation), Carnot cycle analysis (ideal reversible cycle with maximum efficiency, two isothermal and two adiabatic processes, temperature-dependent efficiency formula, practical impossibility due to finite-time constraints and irreversibilities), Otto vs Diesel cycles (spark ignition vs compression ignition, different combustion processes, compression ratio effects on efficiency, modern engine improvements with turbocharging and direct injection), real-world applications (automotive engines comparing gasoline vs diesel, steam turbines in power plants, Rankine cycle for steam power, refrigeration technologies, heat pumps for efficient heating), historical context (James Watt's steam engine improvements 1769, Sadi Carnot's 1824 theoretical foundation, Rudolf Diesel's 1890s invention, modern developments in hybrid systems and alternative fuels). Multi-language support (zh, en, de, fr, es, pt, ru).

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