{
  "node": {
    "id": "term:heat-transfer-coefficient",
    "type": "Term",
    "label": "Heat transfer coefficient",
    "properties": {
      "id": "heat-transfer-coefficient",
      "name": "Heat transfer coefficient",
      "abbr": "h",
      "aka": [
        "convection coefficient",
        "film coefficient"
      ],
      "section": "topic-thermal",
      "definition": "The heat carried away per unit area per kelvin of difference between a surface and the fluid passing it. Typical values are 5–25 W/(m²·K) for still air, 25–250 for forced air and hundreds to thousands for pumped liquid, which is why fast-charging packs are liquid-cooled. Thermal models use it as their cooling boundary.",
      "formula": "Q = h·A·ΔT",
      "unit": "W/(m²·K)",
      "related": [
        "heat-transfer-modes",
        "heat-flux",
        "biot-number",
        "thermal-model",
        "cooling-plate",
        "coolant"
      ],
      "example": {
        "title": "Estimate convective cooling",
        "text": "For an illustrative h = 20 W/(m²·K), area 0.1 m² and surface-to-fluid temperature difference 10 K, hAΔT gives 20 W of cooling. The coefficient depends on the actual flow and geometry."
      },
      "url": "https://lemonergy.com/learn/glossary/heat-transfer-coefficient/",
      "mentions": []
    }
  },
  "edges": [
    {
      "id": "edge:112",
      "source": "term:heat-transfer-coefficient",
      "target": "workflow:charge-thermal",
      "type": "usedIn",
      "properties": {
        "sourceFile": "wiki-blocks.json"
      }
    },
    {
      "id": "edge:4596",
      "source": "term:heat-transfer-coefficient",
      "target": "topic:topic-thermal",
      "type": "belongsTo",
      "properties": {
        "sourceFile": "terms.json"
      }
    },
    {
      "id": "edge:4597",
      "source": "term:heat-transfer-coefficient",
      "target": "term:heat-transfer-modes",
      "type": "relatedTo",
      "properties": {
        "sourceFile": "terms.json",
        "meaning": "Related context; not a causal claim"
      }
    },
    {
      "id": "edge:4598",
      "source": "term:heat-transfer-coefficient",
      "target": "term:heat-flux",
      "type": "relatedTo",
      "properties": {
        "sourceFile": "terms.json",
        "meaning": "Related context; not a causal claim"
      }
    },
    {
      "id": "edge:4599",
      "source": "term:heat-transfer-coefficient",
      "target": "term:biot-number",
      "type": "relatedTo",
      "properties": {
        "sourceFile": "terms.json",
        "meaning": "Related context; not a causal claim"
      }
    },
    {
      "id": "edge:4600",
      "source": "term:heat-transfer-coefficient",
      "target": "term:thermal-model",
      "type": "relatedTo",
      "properties": {
        "sourceFile": "terms.json",
        "meaning": "Related context; not a causal claim"
      }
    },
    {
      "id": "edge:4601",
      "source": "term:heat-transfer-coefficient",
      "target": "term:cooling-plate",
      "type": "relatedTo",
      "properties": {
        "sourceFile": "terms.json",
        "meaning": "Related context; not a causal claim"
      }
    },
    {
      "id": "edge:4602",
      "source": "term:heat-transfer-coefficient",
      "target": "term:coolant",
      "type": "relatedTo",
      "properties": {
        "sourceFile": "terms.json",
        "meaning": "Related context; not a causal claim"
      }
    },
    {
      "id": "edge:4603",
      "source": "term:heat-transfer-coefficient",
      "target": "visual:thermal",
      "type": "illustratedBy",
      "properties": {
        "sourceFile": "visual-pages.json"
      }
    },
    {
      "id": "edge:4604",
      "source": "term:heat-transfer-coefficient",
      "target": "reference:openstax-heat",
      "type": "cites",
      "properties": {
        "sourceFile": "wiki-references.json",
        "scope": "direct technical reference"
      }
    }
  ],
  "neighbors": [
    {
      "id": "workflow:charge-thermal",
      "type": "Workflow",
      "label": "Inspect pack temperature",
      "properties": {
        "id": "charge-thermal",
        "title": "Inspect pack temperature",
        "kind": "protocol",
        "summary": "The separate Charge session can include a lumped thermal node.",
        "steps": [
          "Provide thermal mass and conductance.",
          "Compare two ambient temperatures."
        ],
        "example": "100 kJ/K thermal mass and 100 W/K conductance give a 1000 s no-source temperature-difference time constant.",
        "observe": "Temperature limits can pause charge; heater and mass are separate.",
        "limits": "One node does not resolve gradients, coolant geometry or runaway. Studio’s native charger instead uses external temperature.",
        "url": "https://design.lemonergy.com/",
        "label": "Open Design → Charge session",
        "evidence": [
          "js/charger.js"
        ]
      }
    },
    {
      "id": "topic:topic-thermal",
      "type": "Topic",
      "label": "Thermal management and heat transfer",
      "properties": {
        "id": "topic-thermal",
        "name": "Thermal management and heat transfer",
        "lede": "How heat is made, moved and removed in cells and packs, and the hardware that keeps a battery at the right temperature.",
        "context": "Select spatial detail for the question.",
        "example": "Equal total heat in different layouts can produce different gradients. Average temperature can miss a hot spot.",
        "lesson_url": "https://lemonergy.com/learn/fundamentals/battery-aging/",
        "lesson_label": "Open temperature and aging"
      }
    },
    {
      "id": "term:heat-transfer-modes",
      "type": "Term",
      "label": "Heat transfer modes",
      "properties": {
        "id": "heat-transfer-modes",
        "name": "Heat transfer modes",
        "aka": [
          "conduction",
          "convection",
          "thermal radiation"
        ],
        "section": "topic-thermal",
        "definition": "The three ways heat moves: conduction through solids and still fluids, convection carried by a moving fluid, and radiation emitted as infrared by every warm surface. In a pack, conduction takes heat from the cell into the cooling plate and convection carries it away in the coolant; radiation matters mainly at the high temperatures of thermal runaway.",
        "related": [
          "thermal-conductivity",
          "heat-transfer-coefficient",
          "thermography",
          "cooling-plate",
          "thermal-propagation"
        ],
        "url": "https://lemonergy.com/learn/glossary/heat-transfer-modes/",
        "mentions": [
          "thermal-runaway"
        ]
      }
    },
    {
      "id": "term:heat-flux",
      "type": "Term",
      "label": "Heat flux",
      "properties": {
        "id": "heat-flux",
        "name": "Heat flux",
        "abbr": "q″",
        "section": "topic-thermal",
        "definition": "The rate of heat flow through a surface per unit area. Dividing a cell’s heat by its cooled area gives the flux the cooling must carry: a 21700 cell shedding 5 W through its roughly 46 cm² side sees about 1 kW/m². Cooling only one face concentrates the flux and steepens the gradient inside.",
        "formula": "q″ = Q / A",
        "unit": "W/m²",
        "related": [
          "heat-transfer-coefficient",
          "thermal-conductivity",
          "thermal-resistance",
          "thermal-gradient",
          "cooling-plate"
        ],
        "example": {
          "title": "Compare equal heat across different areas",
          "text": "A 10 W heat flow spread uniformly across 0.02 m² has an average flux of 500 W/m². Concentrating the same heat into half the area doubles the average flux."
        },
        "url": "https://lemonergy.com/learn/glossary/heat-flux/",
        "mentions": [
          "cylindrical-cell"
        ]
      }
    },
    {
      "id": "term:biot-number",
      "type": "Term",
      "label": "Biot number",
      "properties": {
        "id": "biot-number",
        "name": "Biot number",
        "abbr": "Bi",
        "section": "topic-thermal",
        "definition": "The ratio of the resistance to heat conduction inside a body to the resistance to convection at its surface. Below about 0.1 the body heats almost uniformly and a lumped thermal model is adequate; large, strongly cooled cells with poor through-plane conductivity exceed it and need a model that resolves the internal gradient.",
        "formula": "Bi = h·L / k",
        "related": [
          "heat-transfer-coefficient",
          "thermal-conductivity",
          "thermal-model",
          "thermal-gradient"
        ],
        "example": {
          "title": "Check a lumped-temperature assumption",
          "text": "For h = 10 W/(m²·K), characteristic length L = 0.005 m and k = 1 W/(m·K), Bi = 0.05. Small Bi supports a lumped-temperature approximation; the characteristic length must match the geometry."
        },
        "url": "https://lemonergy.com/learn/glossary/biot-number/",
        "mentions": [
          "heat-transfer-modes"
        ]
      }
    },
    {
      "id": "term:thermal-model",
      "type": "Term",
      "label": "Thermal model",
      "properties": {
        "id": "thermal-model",
        "name": "Thermal model",
        "aka": [
          "lumped thermal model"
        ],
        "section": "topic-thermal",
        "definition": "A model of cell temperature: at its simplest one thermal mass with heat generation inside and convection outside, at its most detailed a 3D simulation of the pack. Temperature feeds back into every rate, so electrical and thermal models are usually solved together.",
        "related": [
          "heat-generation",
          "thermal-management",
          "arrhenius",
          "newman-model",
          "thermal-characterisation"
        ],
        "url": "https://lemonergy.com/learn/glossary/thermal-model/",
        "mentions": [
          "thermal-mass",
          "heat-transfer-modes"
        ]
      }
    },
    {
      "id": "term:cooling-plate",
      "type": "Term",
      "label": "Cooling plate",
      "properties": {
        "id": "cooling-plate",
        "name": "Cooling plate",
        "aka": [
          "cold plate"
        ],
        "section": "topic-thermal",
        "definition": "A flat aluminium channel assembly under or between the cells through which coolant, usually a water–glycol mix, is pumped. Heat crosses from cell to plate through a thermal interface material; the plate also sets the pack’s temperature uniformity.",
        "related": [
          "thermal-management",
          "thermal-interface-material",
          "immersion-cooling"
        ],
        "url": "https://lemonergy.com/learn/glossary/cooling-plate/",
        "mentions": [
          "thermal-gradient",
          "coolant"
        ]
      }
    },
    {
      "id": "term:coolant",
      "type": "Term",
      "label": "Coolant",
      "properties": {
        "id": "coolant",
        "name": "Coolant",
        "aka": [
          "water–glycol",
          "glycol coolant",
          "ethylene glycol"
        ],
        "section": "topic-thermal",
        "definition": "The liquid pumped through cooling plates and heat exchangers, usually a roughly 50:50 mix of water and ethylene glycol that stays liquid to about −35 °C. It carries heat better than air or dielectric oils, but it conducts electricity, so a leak inside a pack threatens insulation resistance and can short live parts.",
        "related": [
          "cooling-plate",
          "chiller",
          "radiator",
          "heat-exchanger",
          "immersion-cooling",
          "insulation-resistance"
        ],
        "url": "https://lemonergy.com/learn/glossary/coolant/",
        "mentions": []
      }
    },
    {
      "id": "visual:thermal",
      "type": "Visual",
      "label": "Heat approaches an equilibrium",
      "properties": {
        "title": "Heat approaches an equilibrium",
        "summary": "Thermal resistance sets the steady temperature rise; thermal mass sets the response time.",
        "readout": "Steady rise: 10 K. Time constant: 8.333 min.",
        "formula": "ΔT = P R_th [1 − exp(−t / (C_th R_th))]",
        "note": "C_th = 500 J/K, fixed ambient and heat input, uniform temperature.",
        "software": {
          "status": "reference",
          "label": "Reference concept",
          "body": "Analysis → Charge session supports optional lumped thermal behavior. This independent explanation uses a 500 J/K thermal mass and constant heat input; it is not an application simulation result.",
          "href": "https://design.lemonergy.com/"
        },
        "html": "<figure class=\"visual-figure\"><figcaption>Temperature above ambient</figcaption><svg class=\"visual-chart\" viewBox=\"0 0 360 330\" role=\"img\" aria-labelledby=\"static-thermal-0-title static-thermal-0-desc\"><title id=\"static-thermal-0-title\">Temperature above ambient</title><desc id=\"static-thermal-0-desc\">Time (min) versus Temperature rise (K). Lumped response. Interpretation follows the graphs.</desc><path d=\"M74,238h268\" stroke=\"currentColor\" opacity=\".13\"/><text x=\"64\" y=\"242\" text-anchor=\"end\" font-size=\"13\" fill=\"currentColor\">0</text><text x=\"74\" y=\"265\" text-anchor=\"middle\" font-size=\"13\" fill=\"currentColor\">0</text><path d=\"M74,188.5h268\" stroke=\"currentColor\" opacity=\".13\"/><text x=\"64\" y=\"192.5\" text-anchor=\"end\" font-size=\"13\" fill=\"currentColor\">15</text><text x=\"141\" y=\"265\" text-anchor=\"middle\" font-size=\"13\" fill=\"currentColor\">15</text><path d=\"M74,139h268\" stroke=\"currentColor\" opacity=\".13\"/><text x=\"64\" y=\"143\" text-anchor=\"end\" font-size=\"13\" fill=\"currentColor\">30</text><text x=\"208\" y=\"265\" text-anchor=\"middle\" font-size=\"13\" fill=\"currentColor\">30</text><path d=\"M74,89.5h268\" stroke=\"currentColor\" opacity=\".13\"/><text x=\"64\" y=\"93.5\" text-anchor=\"end\" font-size=\"13\" fill=\"currentColor\">45</text><text x=\"275\" y=\"265\" text-anchor=\"middle\" font-size=\"13\" fill=\"currentColor\">45</text><path d=\"M74,40h268\" stroke=\"currentColor\" opacity=\".13\"/><text x=\"64\" y=\"44\" text-anchor=\"end\" font-size=\"13\" fill=\"currentColor\">60</text><text x=\"342\" y=\"265\" text-anchor=\"middle\" font-size=\"13\" fill=\"currentColor\">60</text><path d=\"M74,40v198h268\" fill=\"none\" stroke=\"currentColor\" opacity=\".3\"/><polyline fill=\"none\" stroke=\"#a45b2b\" stroke-width=\"2.8\" points=\"74.00,238.00 76.23,236.08 78.47,234.27 80.70,232.56 82.93,230.96 85.17,229.45 87.40,228.02 89.63,226.68 91.87,225.42 94.10,224.23 96.33,223.11 98.57,222.06 100.80,221.06 103.03,220.13 105.27,219.25 107.50,218.42 109.73,217.64 111.97,216.90 114.20,216.21 116.43,215.55 118.67,214.94 120.90,214.36 123.13,213.82 125.37,213.30 127.60,212.82 129.83,212.36 132.07,211.93 134.30,211.53 136.53,211.15 138.77,210.79 141.00,210.45 143.23,210.14 145.47,209.84 147.70,209.56 149.93,209.29 152.17,209.04 154.40,208.81 156.63,208.58 158.87,208.38 161.10,208.18 163.33,207.99 165.57,207.82 167.80,207.66 170.03,207.50 172.27,207.35 174.50,207.22 176.73,207.09 178.97,206.97 181.20,206.85 183.43,206.74 185.67,206.64 187.90,206.55 190.13,206.46 192.37,206.37 194.60,206.29 196.83,206.22 199.07,206.15 201.30,206.08 203.53,206.02 205.77,205.96 208.00,205.90 210.23,205.85 212.47,205.80 214.70,205.75 216.93,205.71 219.17,205.67 221.40,205.63 223.63,205.59 225.87,205.56 228.10,205.53 230.33,205.49 232.57,205.47 234.80,205.44 237.03,205.41 239.27,205.39 241.50,205.37 243.73,205.35 245.97,205.33 248.20,205.31 250.43,205.29 252.67,205.27 254.90,205.26 257.13,205.24 259.37,205.23 261.60,205.21 263.83,205.20 266.07,205.19 268.30,205.18 270.53,205.17 272.77,205.16 275.00,205.15 277.23,205.14 279.47,205.13 281.70,205.12 283.93,205.12 286.17,205.11 288.40,205.10 290.63,205.10 292.87,205.09 295.10,205.09 297.33,205.08 299.57,205.08 301.80,205.07 304.03,205.07 306.27,205.06 308.50,205.06 310.73,205.06 312.97,205.05 315.20,205.05 317.43,205.05 319.67,205.04 321.90,205.04 324.13,205.04 326.37,205.04 328.60,205.04 330.83,205.03 333.07,205.03 335.30,205.03 337.53,205.03 339.77,205.03 342.00,205.02\"/><text transform=\"translate(208 303)\" text-anchor=\"middle\" font-size=\"14\" fill=\"currentColor\"><tspan x=\"0\" dy=\"0\">Time (min)</tspan></text><text transform=\"translate(20 139) rotate(-90)\" text-anchor=\"middle\" font-size=\"14\" fill=\"currentColor\"><tspan x=\"0\" dy=\"0\">Temperature rise (K)</tspan></text></svg><div class=\"visual-legend\"><span><i style=\"background:#a45b2b\"></i>Lumped response</span></div></figure>"
      }
    },
    {
      "id": "reference:openstax-heat",
      "type": "Reference",
      "label": "University Physics Volume 2, §1.6: Mechanisms of Heat Transfer",
      "properties": {
        "title": "University Physics Volume 2, §1.6: Mechanisms of Heat Transfer",
        "publisher": "OpenStax, Rice University",
        "url": "https://openstax.org/books/university-physics-volume-2/pages/1-6-mechanisms-of-heat-transfer",
        "type": "Textbook section",
        "scope": "Conduction, convection, radiation and thermal resistance.",
        "accessed": "2026-10-27"
      }
    }
  ]
}
