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<h1>Heat Budget</h1>
<div class="breadcrumb"><a href="index.html">&larr; Home</a> / Energy Flow Through Steel</div>
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<article>
<section>
<h2>01. The Law of the Puddle</h2>
<p>A weld isnt a joint. Its a transient thermal event. The arc deposits energy. The base metal steals it away. The race between input and bleed determines whether the bead fuses or cracks.</p>
<p>We call it the Heat Input Equation. Its not theory. Its the reason your root pass collapses in the wind.</p>
<div class="equation">
<span class="variable">Q</span> = (<span class="variable">E</span> × <span class="variable">I</span> × <span class="variable">η</span>) / <span class="variable">v</span>
<div class="unit">
<br>Q = Heat Input [J/mm]<br>
E = Voltage [V]<br>
I = Current [A]<br>
η = Efficiency (0.80.95 for GMAW)<br>
v = Travel Speed [mm/s]
</div>
</div>
<p>In the shop, I dont calculate this with a calculator. I feel it in the hum. Slow travel? More heat. Fast drag? Less. But the math is the same. And when the wind hits, <span class="variable">η</span> drops because convective loss spikes.</p>
</section>
<section>
<h2>02. Conductivity as Destiny</h2>
<p>Material choice is thermal destiny. Mild steel conducts at ~50 W/(m·K). Aluminum screams at ~200+. Cast iron crawls at ~40. Change the alloy, change the budget.</p>
<table class="data-table">
<thead>
<tr>
<th>Material</th>
<th>Conductivity [W/(m·K)]</th>
<th>Specific Heat [J/(kg·K)]</th>
<th>Density [kg/m³]</th>
</tr>
</thead>
<tbody>
<tr>
<td>Mild Steel (A36)</td>
<td>50</td>
<td>490</td>
<td>7850</td>
</tr>
<tr>
<td>Carbon Steel (1045)</td>
<td>46</td>
<td>500</td>
<td>7850</td>
</tr>
<tr>
<td>Stainless 304</td>
<td>16</td>
<td>500</td>
<td>7900</td>
</tr>
<tr>
<td>Aluminum 6061</td>
<td>200</td>
<td>897</td>
<td>2700</td>
</tr>
<tr>
<td>Cast Iron (Gray)</td>
<td>40</td>
<td>460</td>
<td>7200</td>
</tr>
</tbody>
</table>
<p>Notice stainless? Low conductivity means heat stays local. Thats why it warps less—but also why it burns through if you dont feather the arc.</p>
</section>
<section>
<h2>03. Diffusion Geometry</h2>
<p>Heat doesnt spread evenly. It follows Fouriers law: flux proportional to the negative gradient.</p>
<div class="equation">
<span class="variable">q</span> = <span class="variable">k</span><span class="variable">T</span>
<div class="unit">
<br>q = Heat Flux [W/m²]<br>
k = Thermal Conductivity<br>
∇T = Temperature Gradient
</div>
</div>
<p>In practice: preheat reduces the gradient. No preheat? The gradient is a cliff. The metal fractures trying to climb it.</p>
</section>
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<aside>
<figure>
<img src="https://images.pexels.com/photos/38251244/pexels-photo-38251244.jpeg?auto=compress&cs=tinysrgb&dpr=2&h=650&w=940" alt="Topographic contour visualization representing thermal diffusion gradients in a welded plate">
<figcaption class="caption">Fig 1. Iso-thermic contours visualizing heat diffusion from a point-source arc. Purple = peak temp (>1500°C). Blue = fusion boundary (~1500°C). Grey = unaffected base metal.</figcaption>
</figure>
<section>
<h2>Field Note</h2>
<p>Black Hills, winter. Wind from the west at 22 km/h. Plate: 6mm A36. Preheat: none. Result: undercut on the leeward side. The wind stole 15% of <span class="variable">η</span>.</p>
<p>Lesson: When the prairie blows, preheat or die.</p>
</section>
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Data sourced from ASM Handbook Vol 1 & ISO 4063 standards.<br>
bernardo-zubko.4ort.net/heat-budget.html
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