author
Bobby Brown
Post 2019-07-02
Flow Rate Calculation: Flow Rate, Flow Velocity, and Pipe Size

Overview

  • Velocity is the speed of fluid flow, indicating the distance traveled per unit of time.
  • Flow rate defines the volume or mass of fluid (or charge in terms of Coulombs) passing through a specific cross-section per unit of time.
  • When selecting a flow meter, it's important to consider the principle of flow conservation: flow is consistent throughout a non-leaking, non-branching pipeline. Therefore, as long as the meter is installed in a stable location, measured flow will be consistent.
  • Flow rate inversely relates to pipe's cross-sectional area; wider pipes slow flow, narrower pipes increase it. Avoid mismatching pipe and meter sizes to prevent measurement errors.
  • Internal diameter can vary between pipe standards (e.g., Schedule 40 vs. Schedule 80) even at the same nominal size, which can significantly affect flow rate calculations — always confirm the actual ID before calculating

Contents

With a plethora of flow meter options available on the market, choosing the right one is crucial for ensuring measurement accuracy and reliability. An inappropriate flow meter selection can result in measurement errors or incorrect calibration, affecting data precision. Hence, understanding the interrelation between flow, velocity, and pipe diameter is essential before selecting a suitable flow meter. This article will delve into this topic, helping you choose the flow meter that best meets your needs.


1. How to Calculate Flow Rate from Pipe Size?

The relationship between flow, velocity, and pipe diameter can be calculated with the following formula, keeping in mind the conversion between different units. Here's an example illustrating how to use the formula: For a 2-inch diameter pipe with a flow velocity of 1 m/s, the flow rate can be determined as follows: The internal diameter (ID) of a 2-inch Schedule 40 pipe is 52.5mm. By applying the pipe cross-sectional area formula (area = ID² ÷ 4 × π), we find the area to be 0.0021648 m². Multiplying the pipe cross-sectional area by the flow velocity gives us a flow rate of 129.885 L/min (LPM).

Flow rate = CROSS-SECTIONAL
AREA OF THE PIPE
× FLOW
VELOCITY
Cross-sectional area of the pipe = ID² ÷ 4 × π
* The flow rate unit is LPM. In the calculation process, it is necessary to pay attention to the conversion of different units.
* ID is the inner diameter of the pipe. π (Pi) is approximately 3.14159.

When calculating, it's important to convert between different units. Here's a simple example demonstrating how to use the flow rate calculation formula: Suppose there is a pipe with a 2-inch diameter and a flow velocity of 1 m/s. The question is, what is the flow rate?

2 inch (ID 52.5mm), Flow Velocity 1 m/s
Cross-sectional area of the pipe
CSA
Computational formula
CSA
= ID² ÷ 4 × π
 
= 52.5² ÷ 4 × 3.14159
 
= 2,756.25 ÷ 4 × 3.14159
 
= 689.0625 × 3.14159
 
= 2,164.75 mm² (m² = 1,000,000 mm²)
 
= 2,164.75 mm² ÷ 1,000,000
 
= 0.00216475 m²
Flow
rate
=
Cross-sectional
area
CSA
×
Flow
velocity
Computational formula
Flow rate
= CSA × Flow velocity
 
= 0.00216475 m² × 1 m/s
 
= 0.00216475 m³/s
 
(LPM: litres per minute, 1 m³ = 1,000 L, 1 min = 60 s)
 
= 0.00216475 m³/s × 1,000 × 60
 
= 129.885 L/min (LPM)

For a 2-inch Schedule 40 pipe with an internal diameter (ID) of 52.5mm, the cross-sectional area is calculated using the formula (Area = ID² ÷ 4 × π), resulting in an area of 0.0021648 m². Then, by multiplying the cross-sectional area by the flow velocity, according to the flow rate formula (Flow rate = Cross-sectional area × Flow velocity), the flow rate is determined to be 129.885 liters per minute (LPM)

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2. Choose the Most Suitable Flow Meter by Relating Flow, Velocity, and Pipe Diameter:

Using the formula above, LORRIC has compiled a chart to deduce the third variable when only two are known, such as flow rate and pipe diameter, to identify the suitable velocity. This data helps in selecting the right model of flow meter for your needs.
Flow Rate, Flow Velocity, and Pipe Diameter Chart
Flow Rate, Flow Velocity, and Pipe Diameter Table (Imperial)
Flow rate unit: GPM (US gallon/min), Flow velocity unit: ft/s, Pipe diameter unit: inch
Usage Examples:
Example 1: For a 0.622 inch pipe diameter, at a flow velocity of 0.3 ft/s, the flow rate is 0.28 GPM.
Example 2: For a 1 inch pipe diameter, at a flow velocity of 10 ft/s, the flow rate is 26.94 GPM.
Flow Rate, Flow Velocity, and Pipe Diameter Chart (Imperial)
Flow Rate, Flow Velocity, and Pipe Diameter Table (Metric)
Flow rate unit: LPM (L/min), Flow velocity unit: m/s, Pipe diameter unit: mm
Usage Examples:
Example 1: For a 16mm (1/2 inch) pipe diameter, at a flow velocity of 0.1 m/s, the flow rate is 1.2 LPM.
Example 2: For a 27mm (1 inch) pipe diameter, at a flow velocity of 1 m/s, the flow rate is 34.35 LPM.
Flow Rate, Flow Velocity, and Pipe Diameter Chart (Metric)

Here are the applicable flow velocity ranges for different types of LORRIC flow meters for your reference:

Applicable Flow Velocity Ranges for LORRIC Flow Meters Variable Area Flow Meters (Float Type): 0.05 ~ 3.5 m/s. Ultrasonic Flow Meters: 0.1 ~ 10 m/s. AxleSense Paddle Wheel Flow Meters: 0.15 ~ 10 m/s (AxleSense FP-AS510 models feature patented axle sensing technology, doubling the range compared to other paddle wheel meters). Rotameter 0.05 ~ 3.5 m/s Ultrasonic flow meter 0.1 ~ 10 m/s Paddle wheel flow meter 0.15 ~ 10 m/s 0 2 4 6 8 10 Velocity Range (m/s) Applicable Flow Velocity Ranges for LORRIC Flow Meters Variable Area Flow Meters (Float Type): 0.05 ~ 3.5 m/s. Ultrasonic Flow Meters: 0.1 ~ 10 m/s. AxleSense Paddle Wheel Flow Meters: 0.15 ~ 10 m/s (AxleSense FP-AS510 models feature patented axle sensing technology, doubling the range compared to other paddle wheel meters).

The applicable flow velocity ranges for LORRIC flow meters by type are as follows: Variable Area (Float Type) Flow Meters: 0.05 ~ 3.5 m/s; Ultrasonic Flow Meters: 0.1 ~ 10 m/s; and AxleSense Paddle Wheel Flow Meters: 0.15 ~ 10 m/s. Notably, AxleSense Paddle Wheel Meters incorporate patented axle sensing technology, offering a range that is twice as extensive as similar products from other brands.



3. Understanding Flow Velocity and Flow Rate

1 ) What is Flow Velocity?

Flow Velocity
Flow Velocity is the speed at which fluid moves, measured by the distance traveled per unit of time. 
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2 ) What is Flow Rate?

Flow rate refers to the amount of fluid (liquid or gas) or charge passing through a specific cross-section per unit of time (the corresponding SI base unit is seconds). The amount of fluid can be measured in terms of volume or mass, while the amount of charge is measured in coulombs.

The commonly heard LPM stands for liters per minute (liter/minute [L/min]), indicating the volume of liquid flowing per minute. It is often used to measure liquid flow rates, such as in water treatment equipment and the delivery rate of liquids in medical devices.

For quick flow unit conversions, visit online flow converter.
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3 ) Flow Meter Selecting Guide:

  • Principle of flow conservation: Flow rate remains constant throughout a leak-free, branchless pipeline, so install the meter in a stable location for consistent measurements.
  • Flow velocity inversely relates to the square of the pipe diameter (i.e., its cross-sectional area) at a constant flow rate, so avoid connecting large pipes to small meters to prevent energy loss and exceeding the meter's measurement range.
  • Be aware of internal diameter differences in pipes of the same type but different standards, as this can significantly affect flow rate calculations.
  • Pay attention to unit conversion during calculations, such as milliliters to liters and millimeters to meters, to ensure accuracy.

Reference

  1. ^ wikipedia - Continuity equation
  2. ^ wikipedia - Flow velocity
  3. ^ wikipedia - Mass flow rate
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