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Fluid Mechanics

Volume Flow Rate

Volume flow rate is the volume crossing a section per second.

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Source & review

Difficulty

Beginner

Read time

5 min

Prerequisites

Basic algebra and consistent SI units

Review statusNeeds review

Source

OpenStax, College Physics 2e, §12.1 (Paul Peter Urone and Roger Hinrichs)

Textbook reference retained from the OpenFormulaGraph dataset; adaptation credits and license are provided below.

Adapted from OpenFormulaGraph, under CC BY 4.0.

FormuLab adapted the notation, explanations, assumptions, and topic placement, and expanded the numerical check into a worked example.

Definition
Understanding the core concept

Volume flow rate is the volume crossing a section per second. Multiplying area by the mean normal velocity gives this rate even when the velocity varies across that section.

Variables & Units
Understanding each component
SymbolMeaningUnits
Volume flow rate
Cross-sectional area
Mean normal flow speed
Real-World Applications
Where this formula is used in practice

Pipe capacity

Relate a flow rate to pipe area and mean speed.

Filling

Estimate the rate at which volume enters a tank.

Worked Example
Step-by-step calculation with real numbers

Problem

A flow section has area 2.00 m² and mean normal speed 3.00 m/s. Find its volume flow rate.

Given

Solution

1
2
3

Final Answer

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

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