Mechanical Engineering

Convective Heat Transfer Rate

Relate surface-to-fluid temperature difference to total convective heat flow.

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Calculate heat transfer rate; positive from surface to fluid or choose another supported quantity.

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Use decimals or scientific notation, such as 1.2e3. Calculations update as you type.

Heat transfer rate; positive from surface to fluid

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Enter the known values to see the result.

Use an appropriate average heat transfer coefficient for the actual fluid and flow. Surface and bulk-fluid temperatures are represented by the chosen averages. Radiation and conduction through other paths are separate contributions.

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Source & review

Difficulty

Intermediate

Read time

5 min

Prerequisites

Basic algebra, mechanics, and consistent SI units

Review statusNeeds review

Source

Teng-Jui Lin — CHEM E 330 — Transport Processes I

Reference equation: Newton's law of cooling. FormuLab wrote new explanations, assumptions, applications, and numerical examples. Multiplied the source heat flux by surface area to obtain total heat rate.

Adapted from Teng-Jui Lin, Equation Sheets — Mechanical Engineering Expansion, under CC BY 4.0.

Adapted standard equations and added original lesson text, variables, SI examples, and assumptions. Multiplied the source heat flux by surface area to obtain total heat rate.

Definition

Understanding the core concept

A convective coefficient summarizes the thermal boundary layer near a surface. Multiplying the source heat flux by area gives a heat rate; the direction follows the sign of the surface-to-fluid temperature difference.

Variables & Units

Understanding each component
SymbolMeaningUnits
Heat transfer rate; positive from surface to fluid
Average convective heat transfer coefficient
Heat transfer surface area
Surface absolute temperature
Bulk-fluid absolute temperature

Real-World Applications

Where this formula is used in practice

Surface cooling

Estimate heat flow from a warmer component into a fluid.

Thermal models

Represent a convective boundary in a thermal balance.

Worked Example

Step-by-step calculation with real numbers

Problem

A 0.5 m² surface is at 350 K in a 300 K fluid, with h = 25 W/(m²·K). Find the convective heat rate.

Given

Solution

1
2

Final Answer

FormuLab is a study reference. Verify formulas, units, assumptions, and course-specific conventions before relying on them.

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