Pipe diameter and flow rate calculator

Description

q - volumetric flow rate

Fluid flow rate in terms of units of volume per unit of time

ṁ - mass flow rate

Fluid flow rate in terms of units of mass per unit of time

D - pipe diameter

Internal circular pipe diameter

V - velocity

Flow velocity in terms of units of distance per unit of time

A - area

Internal pipe cross section area

ρ - fluid density

Mass per unit of volume

T - temperature

Fluid temperature for gas density calculation based on the ideal gas state equation

p - pressure

Fluid pressure at the start of the pipe for gas density calculation based on the ideal gas state equation

R - gas constant

Gas constant in terms of energy per unit of mass and temperature, for gas density calculation using ideal gas state equation

Calculation setup

Select value to calculate. You should enter not selected one.

D

pipe diameter

V

flow velocity

Choose a value to input. Enter the one you've selected; the other value will be calculated automatically.

q

volumetric flow rate

ṁ

mass flow rate

Choose a value to input. Enter the one you've selected; the other value will be calculated automatically. Available only if the gas is selected fluid

ρ

fluid density

T

temperature

Select fluid type

liquid

for incompressible fluids

gas

for fluids where ideal gas state equation is used. Enables selection between density and temperature to input.

Select pipe shape

round pipe

full cross section fluid flow

rectangular duct

for rectangle channels and full cross section flow

When is This Flow Rate Calculator Applicable?

Using a pipe diameter and flow rate calculator makes it easy to determine pipe diameter, flow rate or velocity in the pipe. Our pipe diameter and flow rate calculator allows quick calculations for closed, round, and rectangular pipes, filled with liquid or a perfect gas.

If you're analyzing a system with multiple pipes, consider using a pipe network analysis calculator.

For accurate pipe diameter calculation, you must enter the flow velocity. If flow velocity is unknown, use the pressure drop calculator to determine flow rare or pipe diameter based on the pressure difference (head loss) between the pipeline's start and end.

How Does the Pipe Diameter and Flow Rate Calculator Work?

The pipe diameter calculator determines internal pipe diameter using the fundamental relation between flow rate, velocity, and cross-sectional area (Q = v·A).

To calculate pipe diameter

• Enter the flow rate and velocity in the calculator.
• Click the calculate button to get results.

To calculate flow rate

• Enter the pipe diameter and velocity in the calculator.
• Click the calculate button to get results.

To calculate flow velocity

Besides pipe diameter, the calculator can also determine:

• Flow velocity for a given flow rate and internal pipe diameter.
• Mass or volume flow rate conversions, using fluid density.

If working with perfect gases, you can convert volume flow rate based on pressure and temperature changes. This is useful for pipelines with pressure-reducing valves or varying conditions.

For example, if you know the volume flow rate of an ideal gas at standard conditions (p = 101325 Pa, T = 273.15 K), you can calculate its actual volume flow rate at real pipeline conditions, like p = 30 psi and t = 70°F.

When is the Flow Rate Calculator Not Applicable?

Although highly versatile, some limitations exist:

• If flow velocity and flow rate are both unknown, use a pressure drop calculator instead.
• For mass flow rate calculations, fluid density must be known. If density is unknown, mass flow rate calculations are not possible.
• For gases, if pressure, temperature, and density do not follow the ideal gas law, the calculator cannot determine gas density.

What Information is Needed for Calculations?

• To calculate pipe diameter, you must know flow velocity and flow rate. If using mass flow rate, fluid density must be known.
• For gas flow, density is derived from gas constant, absolute pressure, and temperature using the perfect gas equation.
• To calculate flow velocity, the required inputs are flow rate and pipe interior diameter.

How is the Calculation Performed?

The flow rate calculator uses the continuity equation to relate flow rate, flow velocity, and pipe diameter.

For gas flow, the ideal gas equation determines density based on gas constant, absolute pressure, and temperature.

This flow rate calculator is an essential tool for engineers and professionals working with liquid and gas pipelines. Whether determining pipe diameter, flow velocity, or flow rate conversions, it simplifies complex calculations efficiently.