Convection Calculator
Calculate convective heat transfer Q = hA(T_surface - T_fluid) and solve for any unknown
This free online convection calculator provides instant results with no signup required. All calculations run directly in your browser — your data is never sent to a server. Supports both metric (SI) and imperial units with built-in unit selection dropdowns on every input field, so you can work in whatever units your problem provides. Designed for engineering students and professionals working through coursework, design projects, or quick reference calculations.
Convection Calculator
Calculate convective heat transfer. Solve for any unknown in Q = hA(T_s − T_f).
Formula
Q = h · A · (T_surface − T_fluid)
Solve For
Result
Heat Transfer Rate Q
2000.00 W
= 2.0000 kW
ΔT = T_s − T_f
80.00 K
Heat Flux q = Q/A
2000.00 W/m²
Typical h Values (W/m²·K)
How to Use This Calculator
Enter your input values
Fill in all required input fields for the Convection Calculator. Most fields include unit selectors so you can work in your preferred unit system — metric or imperial, whichever matches your problem.
Review your inputs
Double-check that all values are correct and that you have selected the right units for each field. Incorrect units are the most common source of calculation errors and can produce results that are off by factors of 2, 10, or more.
Read the results
The Convection Calculator instantly computes the output and displays results with units clearly labeled. All calculations happen in your browser — no loading time and no data sent to a server.
Explore parameter sensitivity
Try adjusting individual input values to see how the output changes. This is a quick and effective way to develop intuition about how different parameters influence the result and to identify which inputs have the largest effect.
Formula Reference
Newton's Law of Cooling
Q = h·A·(T_surface − T_fluid)
Variables: h = convection coefficient, A = surface area
When to Use This Calculator
- •Use the Convection Calculator when solving homework or exam problems that require quick numerical verification of your hand calculations — instant feedback helps identify arithmetic errors before they propagate.
- •Use it during the early design phase to rapidly iterate on parameters and narrow down feasible configurations before committing time to detailed finite element simulations or full design packages.
- •Use it when reviewing a colleague's calculation or checking a vendor's data sheet for plausibility — a quick sanity check can prevent costly downstream errors.
- •Use it to generate reference data for a technical report or presentation without manual computation, ensuring consistent, reproducible numbers throughout the document.
- •Use it in the field when a quick estimate is needed and a full engineering software package is not available.
About This Calculator
The Convection Calculator is a precision engineering calculation tool designed for students, engineers, and technical professionals. Calculate convective heat transfer Q = hA(T_surface - T_fluid) and solve for any unknown All calculations are performed using established engineering formulas from the relevant scientific literature and standards. Inputs support both metric (SI) and imperial unit systems, with unit conversion handled automatically — simply select your preferred unit from the dropdown next to each field. Results are computed instantly in the browser without sending data to a server, ensuring both speed and privacy. This calculator is intended as a supplementary tool for learning and design exploration; always verify results against authoritative references for safety-critical applications.
The Theory Behind It
Convective heat transfer is the movement of thermal energy by bulk fluid motion combined with conduction at the fluid-solid interface. Newton's law of cooling quantifies the rate: Q = h·A·(T_surface − T_fluid), where h is the convective heat transfer coefficient (W/(m²·K)), A is the surface area, T_surface is the wall temperature, and T_fluid is the bulk fluid temperature. The coefficient h depends on the flow regime (natural vs forced convection), flow velocity, fluid properties (viscosity, thermal conductivity, specific heat), and surface geometry. Typical values for h: natural convection in air 5-25 W/(m²·K), forced convection in air 25-250, natural convection in water 50-1000, forced convection in water 100-10,000, boiling water 2500-35,000, condensing steam 5000-50,000. Dimensionless parameters correlate h with flow and fluid properties. The Nusselt number Nu = h·L/k_fluid relates convective to conductive heat transfer. The Reynolds number Re determines flow regime for forced convection. The Rayleigh number Ra = Gr·Pr (Grashof times Prandtl) determines natural convection strength. Standard correlations include: for laminar flow in tubes Nu = 3.66; for turbulent flow in tubes (Dittus-Boelter) Nu = 0.023·Re^0.8·Pr^0.4 (heating) or Pr^0.3 (cooling); for natural convection from vertical plate, Nu = 0.59·Ra^0.25 (laminar) or 0.10·Ra^(1/3) (turbulent). The calculator supports Newton's law of cooling for forward (given h and ΔT, find Q) and reverse (given Q and ΔT, find h or area) calculations.
Real-World Applications
- •Building envelope inside and outside heat transfer: the h values for inside air film and outside wind-exposed surfaces enter the total U-value calculation for exterior walls, windows, and roofs.
- •Heat exchanger design: evaporators, condensers, and shell-and-tube heat exchangers use convective heat transfer on both fluid sides, with h values from tube-side and shell-side correlations.
- •Electronic component cooling: compute the heat transfer from a hot chip or heat sink fins to flowing air or liquid coolant. Determines whether forced air, liquid cooling, or phase-change cooling is needed.
- •Cooking and food heating: convection ovens use forced hot air to heat food; h values determine cooking times and temperature distribution. Higher h from forced air reduces cooking time vs conventional ovens.
- •Cooling tower and radiator design: automotive radiators and industrial cooling towers transfer heat from hot fluids to ambient air using combined conduction, convection, and sometimes evaporation.
Frequently Asked Questions
What is Newton's law of cooling?
Q = h·A·(T_surface − T_fluid), the heat transfer rate by convection. h is the convective heat transfer coefficient, A is the surface area, and ΔT is the temperature difference between the surface and the bulk fluid far away. This equation is empirical — it defines h rather than deriving it from first principles. The difficulty in convection heat transfer is determining h, which depends on flow regime, fluid properties, and geometry.
What's a typical convective heat transfer coefficient?
For natural convection: air 5-25 W/(m²·K), water 50-1000. For forced convection: air 25-250, water 100-10,000. For phase-change: boiling water 2500-35,000, condensing steam 5000-50,000. Higher h means better heat transfer: liquid water convection is roughly 10-100× better than air convection of the same type, which is why liquid cooling is much more effective than air cooling for high-power components.
Natural vs forced convection?
Natural (free) convection occurs when fluid motion is driven by buoyancy alone — warmer (lighter) fluid rises, cooler (denser) fluid sinks. Forced convection uses an external device (fan, pump, blower) to move fluid. Forced convection has much higher h values because the flow rate is higher. Most heat exchangers use forced convection; residential radiators and passive cooling rely on natural convection. Mixed convection combines both.
What are the Nusselt, Reynolds, and Prandtl numbers?
Nusselt: Nu = h·L/k, ratio of convective to conductive heat transfer. Reynolds: Re = ρVL/μ, ratio of inertial to viscous forces (determines laminar/turbulent). Prandtl: Pr = μcp/k, ratio of momentum diffusivity to thermal diffusivity (Pr ≈ 0.7 for air, 7 for water, 100+ for oil). Nu is typically correlated as Nu = f(Re, Pr) for forced convection or Nu = f(Ra) for natural convection, using empirical formulas derived from experiment.
How does h change with flow velocity?
For forced convection, h increases with flow velocity. For turbulent flow in pipes: h ∝ V^0.8 from the Dittus-Boelter correlation (Nu = 0.023·Re^0.8·Pr^0.4). For laminar flow, h is nearly independent of velocity at constant Re. For natural convection, h depends on temperature difference rather than velocity. Increasing forced flow from 1 m/s to 10 m/s increases h by a factor of 10^0.8 ≈ 6.3 — substantial but less than linear with velocity.
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