Observations on the world and its inhabitants
Wonders of Life is a series available for free on BBC Iplayer – for those with a TV licence. This is a good series. I came across some clips on YouTube then hunted it down. The first one I watched was “What is Life?” Prof Cox explains things so that ordinary people can understand. It ...
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>
);
};
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Captain Walker
