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Newton's Law of Cooling & Convective Heat Transfer Calculator

Newton's Law of Cooling governs the rate of thermal heat transfer between a solid surface and an adjacent moving fluid.

Convective film coefficient (Natural air: 5-25, Forced air: 25-250, Liquid water: 1000-10000 W/m²K).

Total surface area exposed to fluid.

Temperature of the solid wall surface in °C.

Bulk temperature of surrounding air or fluid in °C.

Calculated Result
2437.5 W

Convective Heat Rate (q)

Convective Heat Rate (q)

2437.5 W (2.4375 kW)

Convective Heat Flux

1625 W/m²

Thermal Resistance (R_th)

0.0267 °C/W

Temperature Difference (ΔT)

65 °C

Calculation Breakdown

  1. Temperature DifferenceΔT = T_s - T_∞ = 85°C - 20°C = 65°C
  2. Thermal ResistanceR_th = 1 / (h × A) = 0.0267 °C/W
  3. Heat Rateq = h × A × ΔT = 2437.5 Watts

Heat Dissipation vs Convective Coefficient h (1.5 m², ΔT = 65°C)

Interactive visualization based on your current inputs

Watts
0.04.9k9.8k14.6k19.5k10 (Natural air)25 (Light breeze)50 (Forced fan)100 (High velocity air)200 (Extreme fan)Film Coefficient h (W/m²K)Heat Dissipated (Watts)

What Is the Newton's Law of Cooling & Convective Heat Transfer Calculator?

Newton's Law of Cooling was stated by Sir Isaac Newton in 1701 and forms the foundation of thermal engineering.

How Does the Newton's Law of Cooling & Convective Heat Transfer Calculator Work?

Thermal conduction through the stagnant boundary layer fluid film transfers heat into the moving turbulent fluid mainstream.

Newton's Law of Cooling & Convective Heat Transfer Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

q = h \cdot A \cdot (T_s - T_\infty), \quad R_{\text{th}} = \frac{1}{h \cdot A}

Convective heat transfer rate q equals film coefficient h times area A times temperature differential.

How to Use the Newton's Law of Cooling & Convective Heat Transfer Calculator

  1. Input the convective film coefficient h.
  2. Specify heat transfer surface area.
  3. Enter hot surface and cool ambient fluid temperatures.

Step-by-Step Example Calculation

Industrial Electronics Enclosure Cooling

Input Values:

heatTransferCoeffH:25.0
surfaceAreaM2:1.5
surfaceTemperatureC:85.0
ambientTemperatureC:20.0
Worked Steps: Dissipating heat from an 85°C enclosure into 20°C air (ΔT = 65°C) across 1.5 m² transfers 2437.5 W (2.44 kW) with thermal resistance R_th = 0.0267 °C/W.

Understanding Your Result

Heat Transfer Rate: Dissipated thermal power in Watts and kW.

Heat Flux: Energy transfer per square meter (W/m²).

Thermal Resistance: Convective thermal impedance in °C/W.

Factors That Affect the Result

  • Fluid velocity, surface roughness, temperature gradient, and fluid thermal conductivity.

When Should You Use This Calculator?

  • CPU heatsink sizing, building wall envelope cooling, EV battery thermal management, and boiler design.

Assumptions & Limitations

  • Assumes uniform surface temperature and negligible radiant emissivity effects.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard thermodynamic convective formulation.

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