Flow Rate Calculator

Flow Rate:

“The volume of fluid passing via a given cross-sectional area per unit is called flow rate of the fluid”.

The term cross-sectional area is often used to describe the area through which liquid is flowing.

Formula:

Get going for determining the flow rate of the fluid by using the following equation:

$$ Q = \frac{V}{T} $$

Where:
\(Q\) = Flow rate
\(V\) = Volume of fluid
\(T\) = Time

Or: Flow rate \(=\) volume / time

Flow Velocity:

The vector field that provides the velocity of fluids at a specific time and position is known as flow velocity in the fluid.

Formula:

The following is the equation to determine the flow velocity of any fluid:

$$ Q = A \cdot v $$

Where:

• \( Q \) = Liquid flow rate (m³/s or L/s)
• \( A \) = Cross-sectional area of the pipe (m²)
• \( v \) = Velocity of the liquid (m/s)

Mass Flow Rate:

The mass flow rate is the mass of fluid passing through a cross-section per unit of time.

Formula:

$$ \dot{m} = \frac{dm}{dt} \quad \text{or} \quad \dot{m} = \rho V A $$

Where:

• \(\dot{m}\) = Mass flow rate (kg/s)
• \(\rho\) = Density of the fluid (kg/m³)
• \(V\) = Velocity of the fluid (m/s)
• \(A\) = Cross-sectional area (m²)

Pressure Difference:

The pressure difference of fluids is the force that exists per unit and is measured in pounds per square inch (PSI). It is also equivalent to the unit that is subtracted from a greater force per unit. Here you can calculate the flow rate of pressure difference by using this best water flow calculator

Steps to calculate pressure difference of fluid:

• Firstly, find out the square of the volumetric flow rate.
• Calculate the square of the flow factor.
• Divide the square of volumetric flow rate by the square of flow factor.
• Multiply the resultant with the specific gravity of the fluid to obtain the differential pressure.

Volume & Time:

The volumetric flow rate of fluids is the volume that passes per unit of time. Generally, water flow through pipe calculator is a convenient and straightforward way to calculate the volume of fluid passing through in a given time.

How To Calculate Flow Rate?

Let’s see the following examples that will help you to understand your concept and clarify your answer with respect to this water flow rate calculator.

Example #01

Suppose water is flowing from a circular pipe with a radius of \(0.0900 \, \text{m}\) and a velocity of \(4.40 \, \text{m/s}\). Calculate the volumetric flow rate in liters per second (L/s).

Solution:

Step 1: Calculate the cross-sectional area of the pipe

$$ A = \pi r^2 $$

$$ A = \pi (0.0900)^2 $$

$$ A = 3.1416 \times 0.0081 = 0.025434 \, \text{m}^2 $$

Step 2: Calculate volumetric flow rate

$$ Q = A \cdot V $$

$$ Q = 0.025434 \times 4.40 = 0.1119096 \, \text{m}^3/\text{s} $$

Step 3: Convert to liters per second

$$ 1 \, \text{m}^3/\text{s} = 1000 \, \text{L/s} $$

$$ Q = 0.1119096 \times 1000 = 111.91 \, \text{L/s} $$

Example #02

A liquid with a density of \(1000 \, \text{kg/m}^3\) flows through a circular pipe of diameter \(7 \, \text{cm}\) with a velocity of \(10.5 \, \text{m/s}\). Find the mass flow rate.

Solution:

Step 1: Find the radius

$$ r = \frac{d}{2} = \frac{7 \, \text{cm}}{2} = 3.5 \, \text{cm} = 0.035 \, \text{m} $$

Step 2: Calculate cross-sectional area

$$ A = \pi r^2 = 3.1416 \times (0.035)^2 $$

$$ A = 3.1416 \times 0.001225 = 0.00385 \, \text{m}^2 $$

Step 3: Volumetric flow rate

$$ Q = A \cdot V = 0.00385 \times 10.5 = 0.040425 \, \text{m}^3/\text{s} $$

Step 4: Mass flow rate

$$ \dot{m} = Q \cdot \rho = 0.040425 \times 1000 = 40.425 \, \text{kg/s} $$

Answer: Mass flow rate = 40.425 kg/s

How Does The Water Flow Rates Calculator Work?

Let’s see this free flow rate calculator find out the parameters of flow rate through pipe given pressure. Let’s move on and have a look at the working of this calculator.

Input:

• First of all, hit the drop-down menu and select the parameter in which you want either to calculate such as flow velocity, pressure difference, time & volume.
• After that, enter the values of different parameters according to your selection.
• Enter the units
• Make a tap on the calculate button

Output: The free volume flow rate calculator does the following calculations

• Determines the volumetric flow rate and the mass flow rate
• Also this calculator helps you to display the relative units conversion against the output

FAQs:

Are the flow rate and velocity of the fluids the same?

No, both are different phenomena. Flow rate is the measure of fluid in terms of volume per unit. While velocity tells how fast fluids are moving in distance per unit of time.

What factors affect the flow rate in a pipe?

There are some factors that affect fluid flow in pipes including viscosity, density, and velocity of the fluid. Changes in the fluid temperature will change the viscosity & density of the fluid.

Why is pressure the same in all directions in a fluid?

All fluids exert pressure like the air inside a tire. The particles of fluids are constantly moving in all directions randomly. As the particles move, they keep striking into each other and into anything else in their path. These collisions cause pressure, and therefore, the pressure is exerted equally in all directions

Write two factors that affect the pressure in a fluid?

Factors affecting pressure in a liquid

• The density of the liquid (ρ)
• Depth of liquid (h)
• Acceleration due to gravity (g)

Does pipe length affect pressure?

No, as friction pushes against the flow that may result in pressure loss as the pipe length increases. As flow velocity increases, the pressure loss increases, and efficiency decreases.

Conclusion:

Flow rate is the fluid volume used for an appropriate flowmeter to ensure fluid control in different industries. Flowmeter technologies such as differential pressure, turbine, ultrasonic, magnetic, thermal, and vortex all measured flow rate as a function of fluid velocity. Flowmeter users who know what flow rate they need to measure can use a flow rate calculator to determine the fluids.

References:

From the source of Wikipedia: Volumetric flow rate, Mass flow rate From the source of khan academy:  volume flow rate, Incompressibility of liquids