284 lines
9.2 KiB
HTML
284 lines
9.2 KiB
HTML
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<!DOCTYPE html>
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<html lang="en">
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<head>
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<meta charset="UTF-8">
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<meta name="viewport" content="width=device-width, initial-scale=1.0">
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<title>Root Cellar Calculator — Hampton Clay-Loom</title>
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<style>
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:root {
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--bg: #0a0a0a;
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--text: #e0e0e0;
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--accent: #d4af37;
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--secondary: #2a2a2a;
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--input-bg: #1a1a1a;
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--border: #333;
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}
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body {
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font-family: 'Georgia', serif;
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background-color: var(--bg);
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color: var(--text);
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line-height: 1.6;
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margin: 0;
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padding: 0;
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}
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header {
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background-color: var(--secondary);
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padding: 2rem;
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text-align: center;
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border-bottom: 3px solid var(--accent);
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}
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h1 {
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font-size: 2.2rem;
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margin-bottom: 0.5rem;
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color: var(--accent);
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}
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h2 {
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font-size: 1.5rem;
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color: var(--accent);
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margin-top: 2rem;
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border-left: 4px solid var(--accent);
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padding-left: 1rem;
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}
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.container {
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max-width: 900px;
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margin: 0 auto;
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padding: 2rem;
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}
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nav {
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background-color: #1a1a1a;
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padding: 1rem;
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text-align: center;
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}
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nav a {
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color: var(--accent);
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text-decoration: none;
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margin: 0 1.5rem;
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font-size: 1.1rem;
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}
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nav a:hover {
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text-decoration: underline;
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}
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.content {
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background-color: #151515;
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padding: 2rem;
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border: 1px solid var(--border);
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margin-bottom: 2rem;
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}
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.calculator-panel {
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background-color: var(--input-bg);
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border: 2px solid var(--accent);
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padding: 2rem;
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margin: 2rem 0;
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}
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label {
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display: block;
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margin-bottom: 0.5rem;
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color: var(--accent);
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font-weight: bold;
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}
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input[type="number"] {
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width: 100%;
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padding: 0.75rem;
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margin-bottom: 1.5rem;
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background-color: var(--secondary);
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border: 1px solid var(--border);
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color: var(--text);
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font-size: 1.1rem;
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}
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button {
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background-color: var(--accent);
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color: var(--bg);
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border: none;
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padding: 1rem 2rem;
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font-size: 1.2rem;
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cursor: pointer;
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transition: all 0.3s ease;
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}
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button:hover {
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transform: translateY(-2px);
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box-shadow: 0 4px 12px rgba(212, 175, 55, 0.4);
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}
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.results {
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margin-top: 2rem;
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padding: 1.5rem;
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background-color: var(--secondary);
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border-left: 4px solid var(--accent);
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}
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.result-item {
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margin-bottom: 1rem;
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font-size: 1.1rem;
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}
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.result-value {
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color: var(--accent);
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font-weight: bold;
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font-size: 1.3rem;
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}
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img {
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max-width: 100%;
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height: auto;
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display: block;
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margin: 1.5rem auto;
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border: 2px solid var(--accent);
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}
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.formula-box {
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background-color: var(--input-bg);
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padding: 1.5rem;
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border-radius: 4px;
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font-family: 'Courier New', monospace;
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margin: 1.5rem 0;
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}
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footer {
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background-color: var(--secondary);
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text-align: center;
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padding: 1.5rem;
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font-size: 0.9rem;
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color: #888;
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}
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.citation {
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font-style: italic;
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color: #888;
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font-size: 0.9rem;
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margin-top: 1rem;
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}
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</style>
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<script defer src="https://analytics.4ort.xyz/script.js" data-website-id="d3ed927c-888a-4a6c-ae5f-0b1c613ddf5b"></script>
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</head>
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<body>
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<header>
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<h1>Root Cellar Calculator</h1>
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<p>Hampton Clay-Loom Thermal Specifications</p>
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<p><em>"Survival is arithmetic."</em></p>
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</header>
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<nav>
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<a href="index.html">Home</a>
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<a href="protocols-preservation.html">Preservation Protocols</a>
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<a href="protocol-taylor.html">Protocol: Taylor Farms</a>
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<a href="root-cellar-calculator.html">Calculator</a>
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</nav>
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<div class="container">
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<div class="content">
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<h2>The Problem</h2>
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<p>In Hampton, Virginia, the winter of 1994 recorded a low of -15°F. Without adequate burial depth, a root cellar's contents freeze. With insufficient insulation, they rot. The difference is a matter of inches, calculated precisely.</p>
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<p>This tool solves for the minimum burial depth required to maintain a stable 36°F interior, regardless of external conditions.</p>
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<img src="https://images.pexels.com/photos/35537388/pexels-photo-35537388.jpeg?auto=compress&cs=tinysrgb&dpr=2&h=650&w=940"
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alt="Traditional Italian cave cellar demonstrating subterranean thermal stability">
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<h2>The Theory</h2>
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<p>Based on Fourier's Law of Heat Conduction, adapted for Hampton's clay-loam substrate:</p>
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<div class="formula-box">
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d_min = α × (T_ambient_min − T_target)<br><br>
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Where:<br>
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• α = 0.15 m/K (thermal resistance coefficient for saturated clay-loam)<br>
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• T_ambient_min = lowest expected external temperature<br>
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• T_target = desired internal temperature (default: 36°F / 2.22°C)
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</div>
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<p class="citation">Source: Derived from USDA Soil Survey Manual, Chapter 6; de Vries (1963) on soil thermal conductivity. Clay-loam thermal conductivity: 1.4 W/(m·K).</p>
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<h2>The Calculator</h2>
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<div class="calculator-panel">
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<label for="ambient-min">Ambient Minimum Temperature (°F)</label>
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<input type="number" id="ambient-min" value="-15" step="1" min="-50" max="50">
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<label for="target-temp">Target Internal Temperature (°F)</label>
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<input type="number" id="target-temp" value="36" step="0.5" min="32" max="45">
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<button onclick="calculate()">Calculate Burial Depth</button>
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<div class="results" id="results" style="display:none;">
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<div class="result-item">
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Minimum Burial Depth: <span class="result-value" id="depth-ft"></span> feet
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</div>
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<div class="result-item">
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Metric Equivalent: <span class="result-value" id="depth-m"></span> meters
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</div>
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<div class="result-item">
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Recommended Safety Margin (+15%): <span class="result-value" id="margin-ft"></span> feet
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</div>
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<div class="result-item">
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Thermal Stability Rating: <span class="result-value" id="stability"></span>
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</div>
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</div>
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</div>
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<h2>Worked Example</h2>
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<p><strong>Scenario:</strong> Hampton, VA. Historical minimum: -15°F. Target: 36°F.</p>
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<p><strong>Calculation:</strong></p>
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<ul>
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<li>ΔT = (-15°F − 36°F) = -51°F = -28.33 K</li>
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<li>d_min = 0.15 m/K × 28.33 K = 4.25 meters</li>
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<li>Converted: 4.25 m = 13.94 feet</li>
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<li>Safety margin (15%): 16.03 feet</li>
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</ul>
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<p><strong>Result:</strong> Bury the cellar at least <strong>16 feet</strong> deep to guarantee 36°F stability.</p>
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<h2>Operational Notes</h2>
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<p>This calculation assumes:</p>
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<ul>
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<li>Hampton clay-loam at field saturation (winter conditions)</li>
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<li>Steady-state thermal equilibrium (long-duration cold snap)</li>
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<li>No active heating or cooling systems</li>
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<li>Structural integrity maintained by timber or reinforced brick</li>
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</ul>
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<p class="citation">For non-Hampton locales, adjust α based on local soil thermal conductivity. Sand: 0.3–0.5 W/(m·K). Pure clay: 1.5–2.0 W/(m·K).</p>
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</div>
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</div>
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<footer>
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<p>© 2026 Cathy Mcmasters. All rights reserved.</p>
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<p>Hampton, Virginia | <a href="mailto:cathy.mcmasters@4ort.net">Contact Me</a></p>
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<p class="citation">Data licensed CC0 via Wikidata Q487005 (thermal-conductivity) and Q17105932 (soil-thermal-properties).</p>
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</footer>
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<script>
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function calculate() {
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const ambientMin = parseFloat(document.getElementById('ambient-min').value);
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const targetTemp = parseFloat(document.getElementById('target-temp').value);
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// Convert °F to Kelvin for calculation
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const ambientK = (ambientMin - 32) * 5/9 + 273.15;
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const targetK = (targetTemp - 32) * 5/9 + 273.15;
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// ΔT in Kelvin
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const deltaT = Math.abs(targetK - ambientK);
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// Thermal resistance coefficient for Hampton clay-loam: 0.15 m/K
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const alpha = 0.15;
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// Calculate minimum depth in meters
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const depthM = alpha * deltaT;
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// Convert to feet
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const depthFT = depthM * 3.28084;
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// Apply 15% safety margin
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const marginFT = depthFT * 1.15;
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// Determine stability rating
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let stabilityRating;
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if (deltaT > 40) {
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stabilityRating = "CRITICAL — Extreme cold snap";
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} else if (deltaT > 25) {
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stabilityRating = "HIGH — Severe winter";
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} else if (deltaT > 15) {
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stabilityRating = "MODERATE — Standard winter";
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} else {
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stabilityRating = "LOW — Mild climate";
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}
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// Display results
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document.getElementById('depth-ft').textContent = depthFT.toFixed(2);
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document.getElementById('depth-m').textContent = depthM.toFixed(2);
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document.getElementById('margin-ft').textContent = marginFT.toFixed(2);
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document.getElementById('stability').textContent = stabilityRating;
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document.getElementById('results').style.display = 'block';
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}
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</script>
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</body>
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</html>
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