Heat Transfer Calculator — Conduction, Convection & Radiation

Heat Transfer Calculator

Calculate heat transfer rates for conduction, convection, and radiation. Solve heat transfer problems with step-by-step solutions and unit conversions.

Step 1: Select Heat Transfer Mode

Understanding Heat Transfer

Heat transfer is the movement of thermal energy from higher temperature to lower temperature regions. The three main modes are conduction (through solids), convection (through fluids), and radiation (through electromagnetic waves).

Step 2: Calculation Options

Heat Transfer Formulas

Conduction: Q = k·A·ΔT / L
Convection: Q = h·A·ΔT
Radiation: Q = ε·σ·A·(T₁⁴ – T₂⁴)
Overall: Q = U·A·ΔT

Heat Transfer Calculation Results

Heat Transfer Summary
Unit Comparison
Heat Transfer Formulas

Heat Transfer Rate

2005 W
Conduction through 0.1 m thickness
Kilowatts
2.01 kW
BTU per hour
6841 BTU/hr
Calories per second
479 cal/s
Horsepower
2.69 hp

Heat Transfer Unit Comparison

Unit Abbreviation Watts Equivalent Common Use

Heat Transfer Calculation Formulas

Conduction

Formula: Q = k × A × ΔT / L
Where: Q = heat transfer rate (W), k = thermal conductivity (W/m·K), A = cross-sectional area (m²), ΔT = temperature difference (K or °C), L = thickness (m)
Example: k = 401 W/m·K, A = 0.01 m², ΔT = 50°C, L = 0.1 m → Q = 401 × 0.01 × 50 / 0.1 = 2005 W

Convection

Formula: Q = h × A × ΔT
Where: Q = heat transfer rate (W), h = convection coefficient (W/m²·K), A = surface area (m²), ΔT = temperature difference (K or °C)
Example: h = 25 W/m²·K, A = 1 m², ΔT = 30°C → Q = 25 × 1 × 30 = 750 W

Radiation

Formula: Q = ε × σ × A × (T₁⁴ – T₂⁴)
Where: Q = heat transfer rate (W), ε = emissivity (0-1), σ = Stefan-Boltzmann constant (5.67×10⁻⁸ W/m²·K⁴), A = surface area (m²), T₁ and T₂ = absolute temperatures (K)
Example: ε = 0.9, A = 1 m², T₁ = 500 K, T₂ = 300 K → Q = 0.9 × 5.67e-8 × 1 × (500⁴ – 300⁴) = 2.83 kW

Overall Heat Transfer

Formula: Q = U × A × ΔT
Where: Q = heat transfer rate (W), U = overall heat transfer coefficient (W/m²·K), A = surface area (m²), ΔT = temperature difference (K or °C)
Example: U = 10 W/m²·K, A = 2 m², ΔT = 60°C → Q = 10 × 2 × 60 = 1200 W

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