Temperature Rise Calculator

ANALife Services AuthorityNational Calculator Authority›Temperature Rise Calculator

.calc-container { max-width: 640px; margin: 2rem 0; padding: 1.5rem; background: #fff; border: 1px solid #ddd; border-radius: 8px; box-shadow: 0 1px 3px rgba(0,0,0,0.06); font-family: system-ui, -apple-system, sans-serif; } .calc-container h3 { font-family: Georgia, serif; font-size: 1.15rem; color: #1a1a1a; margin-bottom: 1rem; padding-bottom: 0.5rem; border-bottom: 2px solid var(--ac, #3d5a80); } .calc-row { display: flex; align-items: center; gap: 0.75rem; margin-bottom: 0.75rem; flex-wrap: wrap; } .calc-row label { min-width: 160px; font-size: 0.9rem; color: #333; font-weight: 500; } .calc-row input[type="number"], .calc-row select { flex: 1; min-width: 120px; max-width: 200px; padding: 0.5rem 0.6rem; border: 1px solid #ccc; border-radius: 4px; font-size: 0.9rem; font-family: system-ui, sans-serif; color: #1a1a1a; background: #fafaf8; } .calc-row input:focus, .calc-row select:focus { outline: none; border-color: var(--ac, #3d5a80); box-shadow: 0 0 0 2px rgba(26,74,138,0.12); } .calc-row .unit { font-size: 0.82rem; color: #888; min-width: 30px; } .calc-btn { display: inline-block; margin-top: 0.5rem; padding: 0.55rem 1.5rem; background: var(--ac, #3d5a80); color: #fff; border: none; border-radius: 4px; font-size: 0.9rem; font-weight: 600; cursor: pointer; font-family: system-ui, sans-serif; } .calc-btn:hover { opacity: 0.9; } .calc-result { margin-top: 1.25rem; padding: 1rem 1.25rem; background: #f0f6fc; border-left: 3px solid var(--ac, #3d5a80); border-radius: 0 6px 6px 0; display: none; } .calc-result.visible { display: block; } .calc-result-label { font-size: 0.78rem; text-transform: uppercase; letter-spacing: 0.06em; color: #666; margin-bottom: 0.25rem; } .calc-result-value { font-size: 1.6rem; font-weight: 700; color: var(--ac, #3d5a80); } .calc-result-detail { font-size: 0.85rem; color: #555; margin-top: 0.5rem; line-height: 1.5; } .calc-note { margin-top: 1rem; font-size: 0.8rem; color: #888; font-style: italic; } .calc-grid { display: grid; grid-template-columns: 1fr 1fr; gap: 0.75rem; margin-top: 0.75rem; } .calc-grid-item { padding: 0.6rem 0.8rem; background: #f8f9fa; border-radius: 4px; border: 1px solid #eee; } .calc-grid-item .label { font-size: 0.75rem; color: #888; text-transform: uppercase; letter-spacing: 0.04em; } .calc-grid-item .value { font-size: 1.1rem; font-weight: 600; color: #1a1a1a; } @media (max-width: 720px) { .calc-row { flex-direction: column; align-items: flex-start; gap: 0.3rem; } .calc-row label { min-width: auto; } .calc-row input[type="number"], .calc-row select { max-width: 100%; width: 100%; } .calc-grid { grid-template-columns: 1fr; } } .calc-chart { margin: 1rem 0; text-align: center; } .calc-chart svg { max-width: 100%; height: auto; } .calc-chart-legend { display: flex; flex-wrap: wrap; justify-content: center; gap: 0.6rem 1.2rem; margin-top: 0.6rem; font-size: 0.8rem; color: #555; } .calc-chart-legend span { display: inline-flex; align-items: center; gap: 0.3rem; } .calc-chart-legend i { display: inline-block; width: 10px; height: 10px; border-radius: 2px; font-style: normal; } .calc-related { max-width: 640px; margin: 2rem 0 1rem; padding: 1.25rem 1.5rem; background: #f8f9fa; border: 1px solid #e8e8e8; border-radius: 8px; } .calc-related h3 { font-family: Georgia, serif; font-size: 1rem; color: #1a1a1a; margin: 0 0 0.75rem; padding-bottom: 0.4rem; border-bottom: 2px solid var(--ac, #3d5a80); } .calc-related-list { list-style: none; padding: 0; margin: 0 0 0.75rem; display: grid; grid-template-columns: 1fr 1fr; gap: 0.4rem 1.5rem; } .calc-related-list li a { font-size: 0.88rem; color: var(--ac, #3d5a80); text-decoration: none; } .calc-related-list li a:hover { text-decoration: underline; } .calc-browse-all { margin: 0.5rem 0 0; font-size: 0.9rem; font-weight: 600; } .calc-browse-all a { color: var(--ac, #3d5a80); text-decoration: none; } .calc-browse-all a:hover { text-decoration: underline; } @media (max-width: 720px) { .calc-related-list { grid-template-columns: 1fr; } }

Temperature Rise Calculator

Calculate the temperature rise in electrical conductors, resistive elements, or fluid systems due to power dissipation or heat input.

### Calculation Mode

Select Mode

Electrical Conductor (I²R Heating) Power Dissipation (General) Fluid / Liquid Cooling

### Electrical Parameters

Current (A)

Resistance (Ω)

### Thermal Parameters

Thermal Resistance (°C/W)

Ambient Temperature (°C)

### Power & Thermal Parameters

Power Dissipated (W)

Thermal Resistance (°C/W)

Ambient Temperature (°C)

### Fluid & Heat Parameters

Heat Input / Power (W)

Mass Flow Rate (kg/s)

Fluid Type

Water (4186 J/kg·°C) Air (1005 J/kg·°C) Ethylene Glycol (2090 J/kg·°C) Engine Oil (2386 J/kg·°C) Custom Fluid

Specific Heat Capacity (J/kg·°C)

Inlet Temperature (°C)

Calculate Results will appear here.

#### Formulas Used

Electrical (I²R Heating):

P = I² × R

ΔT = P × Rth

Tmax = Tambient + ΔT

Power Dissipation (General):

ΔT = P × Rth

Tmax = Tambient + ΔT

Fluid / Liquid Cooling:

ΔT = Q / (ṁ × cp)

Toutlet = Tinlet + ΔT

Where: Q = heat input (W), ṁ = mass flow rate (kg/s), cp = specific heat capacity (J/kg·°C)

#### Assumptions & References

function temUpdateMode() { var mode = document.getElementById('tem-mode').value; document.getElementById('tem-electrical-inputs').style.display = (mode === 'electrical') ? 'block' : 'none'; document.getElementById('tem-power-inputs').style.display = (mode === 'power') ? 'block' : 'none'; document.getElementById('tem-fluid-inputs').style.display = (mode === 'fluid') ? 'block' : 'none'; document.getElementById('tem-result').innerHTML = 'Results will appear here.'; }

function temUpdateFluid() { var ft = document.getElementById('tem-fluid-type').value; document.getElementById('tem-cp-row').style.display = (ft === 'custom') ? 'flex' : 'none'; }

function temGetVal(id) { return parseFloat(document.getElementById(id).value); }

function temCalc() { var resultDiv = document.getElementById('tem-result'); var mode = document.getElementById('tem-mode').value;

if (mode === 'electrical') { var I = temGetVal('tem-current'); var R = temGetVal('tem-resistance'); var Rth = temGetVal('tem-thermal-resistance-e'); var Ta = temGetVal('tem-ambient-e');

if (isNaN(I) || I ⚠ Please enter a valid non-negative current (A).'; return; } if (isNaN(R) || R ⚠ Please enter a valid non-negative resistance (Ω).'; return; } if (isNaN(Rth) || Rth ⚠ Please enter a valid non-negative thermal resistance (°C/W).'; return; } if (isNaN(Ta)) { resultDiv.innerHTML = '⚠ Please enter a valid ambient temperature (°C).'; return; }

var P = I * I * R; var dT = P * Rth; var Tmax = Ta + dT;

resultDiv.innerHTML = 'Results (Electrical Mode)' + 'Power Dissipated: ' + P.toFixed(3) + ' W' + 'Temperature Rise (ΔT): ' + dT.toFixed(3) + ' °C' + 'Maximum Temperature: ' + Tmax.toFixed(3) + ' °C';

} else if (mode === 'power') { var P = temGetVal('tem-power'); var Rth = temGetVal('tem-thermal-resistance-p'); var Ta = temGetVal('tem-ambient-p');

if (isNaN(P) || P ⚠ Please enter a valid non-negative power (W).'; return; } if (isNaN(Rth) || Rth ⚠ Please enter a valid non-negative thermal resistance (°C/W).'; return; } if (isNaN(Ta)) { resultDiv.innerHTML = '⚠ Please enter a valid ambient temperature (°C).'; return; }

var dT = P * Rth; var Tmax = Ta + dT;

resultDiv.innerHTML = 'Results (Power Dissipation Mode)' + 'Power Input: ' + P.toFixed(3) + ' W' + 'Temperature Rise (ΔT): ' + dT.toFixed(3) + ' °C' + 'Maximum Temperature: ' + Tmax.toFixed(3) + ' °C';

} else if (mode === 'fluid') { var Q = temGetVal('tem-heat-input'); var mdot = temGetVal('tem-mass-flow'); var Tin = temGetVal('tem-inlet-temp'); var ftSel = document.getElementById('tem-fluid-type').value; var cp = (ftSel === 'custom') ? temGetVal('tem-cp') : parseFloat(ftSel);

if (isNaN(Q) || Q ⚠ Please enter a valid non-negative heat input (W).'; return; } if (isNaN(mdot) || mdot ⚠ Please enter a valid positive mass flow rate (kg/s).'; return; } if (isNaN(cp) || cp ⚠ Please enter a valid positive specific heat capacity (J/kg·°C).'; return; } if (isNaN(Tin)) { resultDiv.innerHTML = '⚠ Please enter a valid inlet temperature (°C).'; return; }

var dT = Q / (mdot * cp); var Tout = Tin + dT;

resultDiv.innerHTML = 'Results (Fluid Cooling Mode)' + 'Heat Input: ' + Q.toFixed(3) + ' W' + 'Mass Flow Rate: ' + mdot.toFixed(4) + ' kg/s' + 'Specific Heat (cₚ): ' + cp.toFixed(1) + ' J/kg·°C' + 'Temperature Rise (ΔT): ' + dT.toFixed(3) + ' °C' + 'Outlet Temperature: ' + Tout.toFixed(3) + ' °C'; } }

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