28 July 2012

Thought for tomorrow

quotations, humanities, thought for tomorrow

“But he who did not know, yet committed things deserving of stripes, shall be beaten with few. For everyone to whom much is given, from him much will be required; and to whom much has been committed, of him they will ask the more.”

– Luke 12:48 – New King James Version of the Bible

“Freeloaders, spongers and neemakharams*, wherever they may roam, ought to be reminded that ‘cost’ may be tangible or intangible – which even if unfelt individually, often creates unwritten obligations or debt.”

– Captain Walker (July 2012)

* Neemakharam – a slang term originating in Trinidad & Tobago derived from Hindi, to mean ‘ingrate’ in English. However, the cultural context of the use of the word is partly insulting mixed with a tinge of humour. Nonetheless it connotes someone with a deep sense of ingratitude, and without any underlying capacity for reciprocity.

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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;