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For those who want to spend their life understanding

The Analysis Tool (also called REPL) – is JavaScript code used by Claude.ai to perform the thermal calculations and generate the data. This was invoked using the repl command.

React Component – This is the visualization code Claude.ai created as an artifact using React and the Recharts library to display the temperature profiles. This was created with the identifier “temp-profile” and used the artifact type “application/vnd.ant.react”.

It now all makes perfect sense – right? 🤣😂

import React from 'react';
import { LineChart, Line, XAxis, YAxis, CartesianGrid, Tooltip, Legend, ResponsiveContainer } from 'recharts';

const TempProfile = () => {
  const [data, setData] = React.useState([]);

  React.useEffect(() => {
    // Using properties from Table 3
    const albumenFraction = 0.58;
    const shellFraction = 0.11;
    const yolkFraction = 1 - albumenFraction - shellFraction;
    
    const avgSpecificHeat = 
        albumenFraction * 3935 +
        yolkFraction * 3266 +
        shellFraction * 888;
    
    const eggMass = 0.06;
    const eggRadius = 0.025;
    const eggSurfaceArea = 4 * Math.PI * Math.pow(eggRadius, 2);
    
    const timePoints = [];
    const fridgeTemps = [];
    const eggTemps = [];
    const timeStep = 1;
    const totalTime = 7 * 60;
    
    for (let t = 0; t <= totalTime; t += timeStep) {
      let fridgeTemp;
      if (t <= 20) {
        fridgeTemp = 4 + (10 - 4) * (t / 20);
      } else {
        fridgeTemp = 4 + (10 - 4) * Math.exp(-0.01 * (t - 20));
      }
      
      const h = 10;
      const tempDiff = fridgeTemp - (eggTemps.length > 0 ? eggTemps[eggTemps.length - 1] : 4);
      const heatTransfer = h * eggSurfaceArea * tempDiff * timeStep;
      const tempChange = heatTransfer / (eggMass * avgSpecificHeat);
      
      const newEggTemp = (eggTemps.length > 0 ? eggTemps[eggTemps.length - 1] : 4) + tempChange;
      
      timePoints.push(t);
      fridgeTemps.push(fridgeTemp);
      eggTemps.push(newEggTemp);
    }
    
    const chartData = timePoints.map((t, i) => ({
      time: Math.round(t / 60 * 10) / 10,  // Convert to minutes with 1 decimal
      fridgeTemp: Math.round(fridgeTemps[i] * 1000) / 1000,
      eggTemp: Math.round(eggTemps[i] * 1000) / 1000
    }));
    
    // Sample every 3rd point to reduce data size
    setData(chartData.filter((_, i) => i % 3 === 0));
  }, []);

  return (
    <div className="w-full h-96 p-4">
      <ResponsiveContainer width="100%" height="100%">
        <LineChart data={data}>
          <CartesianGrid strokeDasharray="3 3" />
          <XAxis 
            label={{ value: 'Time (minutes)', position: 'bottom', offset: 0 }}
            dataKey="time"
          />
          <YAxis
            label={{ value: 'Temperature (°C)', angle: -90, position: 'insideLeft' }}
            domain={[3, 11]}
          />
          <Tooltip />
          <Legend />
          <Line 
            type="monotone" 
            dataKey="fridgeTemp" 
            stroke="#8884d8" 
            name="Fridge Temperature"
            dot={false}
          />
          <Line 
            type="monotone" 
            dataKey="eggTemp" 
            stroke="#82ca9d" 
            name="Egg Temperature"
            dot={false}
          />
        </LineChart>
      </ResponsiveContainer>
    </div>
  );
};

export default TempProfile;