Compute convective heat transfer (Newton's law of cooling): heat flux q = h·ΔT (W/m²), heat flow rate Q = h·A·ΔT (W), and convective thermal resistance R_conv = 1/(h·A) (K/W). h is the convective heat-transfer coefficient (W/(m²·K)); ΔT is the temperature difference between the surface and the fluid (K; a °C difference equals a K difference, a °F difference is converted by ×5/9); A the heat-transfer area. ΔT may be negative (indicating reverse heat flow), but h and A must be positive. Area in m²/cm².
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Key facts
Category
Math & Numbers
Input types
number, select
Output type
json
Sample coverage
4
API ready
Yes
Overview
The Heat Convection Calculator applies Newton’s law of cooling to calculate heat flux q, heat flow rate Q, and convective thermal resistance from the heat-transfer coefficient, temperature difference, and transfer area.
When to use
Estimate convective heat flux from a surface-to-fluid temperature difference.
Calculate total heat flow through a known heat-transfer area.
Find convective thermal resistance for thermal design or comparison.
How it works
1Enter the convective heat-transfer coefficient h in W/(m²·K).
2Enter the temperature difference ΔT and select K, °C, or °F; °F differences are converted to kelvins.
3Enter the heat-transfer area and select m² or cm².
4The calculator returns q = h·ΔT, Q = h·A·ΔT, and R_conv = 1/(h·A) in JSON format.
Use cases
Compare natural-air and forced-fluid convection scenarios using different heat-transfer coefficients.
Estimate heat removal from equipment, panels, or other surfaces with a known area.
Include convective thermal resistance in a thermal design calculation.
Examples
1. Air natural convection estimate
Thermal engineer
Background
A thermal engineer needs to estimate heat transfer from a 1 m² surface exposed to air.
Problem
Calculate the heat flux, total heat flow, and convective resistance for h = 25 W/(m²·K) and ΔT = 20 K.
How to use
Enter 25 for h, 20 for ΔT, select K, enter an area of 1, and select m².
h = 25 W/(m²·K); ΔT = 20 K; A = 1 m²
Outcome
The calculator returns q = 500 W/m², Q = 500 W, and R_conv = 0.04 K/W.
2. Forced water convection calculation
Mechanical designer
Background
A designer is evaluating heat transfer to water across a 200 cm² surface.
Problem
Determine the heat flux, heat flow rate, and convective resistance for h = 500 W/(m²·K) and a 50 °C temperature difference.
How to use
Enter 500 for h, 50 for ΔT, select °C, enter an area of 200, and select cm².
FAQ
What does this calculator calculate?
It calculates heat flux q in W/m², heat flow rate Q in W, and convective thermal resistance R_conv in K/W.
Which formula is used for heat flux?
Heat flux is calculated with q = h·ΔT.
Can I enter a temperature difference in Celsius or Fahrenheit?
Yes. A Celsius difference equals the same kelvin difference, while a Fahrenheit difference is converted by multiplying by 5/9.
Can the temperature difference be negative?
Yes. A negative ΔT indicates heat flow in the reverse direction.
What values must be positive?
The heat-transfer coefficient h and area A must be positive. The temperature difference may be negative.