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# How to Calculate Pump Capacity in 3 Easy Steps

A proper pumping system design requires that your pump be precisely matched to the task. The surest way to do this is to first work out your pump capacity.

Only then can you ensure the proper pressure and flow needed to meet your needs and run your pump system efficiently. This holds true whether you’re using a new pump or modifying an existing one.

However, guessing at or visually estimating your pump capacity won’t cut it. Visual estimations are rarely accurate and don’t account for specific variables, such as viscosity and dynamic head, that will affect your pump system’s performance.

Today, we take a look at pump capacity and shed some light on important topics, including:

• The components that make up pump capacity
• How to accurately work out your flow rate
• Essential data to help define pump capacity

## Step 1 – Get Familiar With the Capacity Calculation Units

Pump capacity describes the rate at which a pump can push fluid through its system and is expressed as fluid volume per unit of time. The flow, or pump capacity, is usually represented by the letter Q, with some of the most commonly used units being:

• gpm (gallons per minute)
• m3/s (cubic meters/second)
• L/s (liters/second)
• m3/h (cubic meters/hour)

The conversion relationship between these above examples is as follows: 1 m3/s = 1000 L/s = 3600 m3/h = 15,850.3231 gpm.

Pump capacity can also be expressed as the mass of a fluid that passes through a pump over a given time—also known as the mass flow rate.

In this expression, the volume flow rate is associated with the mass flow rate through the following equation:

M = ρ x Q

Where: M = mass flow rate in kg/s or lbs/s

ρ = the density of the fluid (kg/m3, lb/ft3, l/ft3)

Q = the volume flow rate (gpm, L/s, m3/h)

Therefore, the association between volume flow rate and mass flow rate can be represented by: Qm = pQ.

## Step 2 – Understand Your Key Data Points and Terminology

To calculate your pump capacity accurately, you need to understand some key data points and terminology. These include:

• Head: Refers to the vertical height difference in which you’re trying to move the fluid. Specifically, it is the measure of pressure exerted by the fluid expressed in feet.
Centrifugal pump manufacturers typically provide pump curves (sometimes tables) showing the head (usually for water) with specific gravity = 1.

• Static head: Refers to the vertical height difference from the surface of your water (or liquid) source to the center line of your pump’s impeller.
The vertical difference from the surface of your fluid source to the discharge point is the total static head.

• Total (dynamic) head: Total dynamic head is determined through the summation of the static head (total vertical difference), the friction losses, and demand pressure from nozzles (total discharge head). That is:
• Capacity/flow: Calculated as the amount of time it takes to move a specific volume of liquid, usually measured in gallons per minute (gpm). The amount of liquid your pump will move is determined by the width of the impeller and the shaft speed.

Note:
As per centrifugal pump laws:

• Capacity/flow rate is directly proportional to pump speed
• Discharge head is directly proportional to the square of the pump speed
• Required pump power is directly proportional to the cube of the pump speed
• Brake horsepower (BHP) and capacity: BHP refers to the total power it takes your pump to do a specific amount of work. As such,
BHP increases as you increase the capacity.
BHP = Q x h x Sp.Gr/3960 x Efficiency
Where:
Sp. GR = Specific gravity of the liquid being pumped
BHP = Horsepower needed by the pump
Note: 3960 is a constant related to horsepower; that is, (33,000 ft-lbs/min) with 8.33 lbs/gallon of water.
33,000 / 8.33 (water’s density) = 3960
• Viscosity: This is a measure of a liquid’s resistance to flow. It determines the type of pump you can use and how fast it will run.
Pump capacity, head, and efficiency have an inverse relationship with viscosity. That is, they decrease at high viscosity.
Conversely, power will increase at high viscosity.

## Step 3 – Plug Your Data Into the Flow Calculation Formula

Flow rate (Q), or pump capacity, is expressed as:

Cubic meter/hour (m3/h), liter/sec (L/s), L/s = 3.6 m3/h = 0.06 m3/min = 60 L/minG = Qρ

Where G is the weight, and p is the liquid-specific gravity.

The shaft power of the pump = water supply (liter/sec) × head (m) / 102 × efficiency = flow × head × density × gravity acceleration.

Pump efficiency = Pump effective power / Pump shaft power

Head refers to the maximum height a fluid may be pumped for a particular application and is indicated by (h), measured in meters (m).

Pump efficiency refers to the ability of your pump to convert input power from the shaft into effective power, denoted by P.

Pump efficiency η (%) is calculated using the following formula:

η = Pout / Pin (2)

Where:

η = efficiency (%)

Pin = power input

Pout = power output

Head (h) can be defined using the formula:

h = (p2 – p1) / (ρ g) + v22 / (2 g)

Where:

h = total head developed (m)

p2 = pressure at outlet (N/m2)

p1 = pressure at the inlet (N/m2)

ρ = density (kg/m3)

g = acceleration of gravity (9.81) m/s2

v2 = velocity at the outlet (m/s)

Here are a couple of videos to help you better understand how to apply these formula through real world examples:

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### Why is pump capacity important?

Pump capacity will determine the type of pump you need for a particular application. It also dictates pump performance, including how long it will take to complete a task.

The higher the pump capacity, the higher the volume of fluid your pump can move. Conversely, a low pump capacity means it will take more time to move an equal amount of fluid.

Since high-capacity pumps are more expensive, it’s important to strike the perfect balance to suit your budgetary constraints and application needs.

### What is Net Positive Suction Head?

Net Positive Suction Head (NPSH) refers to the head of the fluid required at the pump suction end above the vapor pressure of the liquid at that point.

It’s an essential element in pump selection and setup as it relates to a troublesome phenomenon known as cavitation. If left unchecked, cavitation can have damaging effects on a pump’s delicate internals and may result in reduced performance and reliability.

### What is cavitation, and why does it matter?

Cavitation refers to air pockets or voids in pumped liquids that result from bubbles taking up space, which lead to a drop in pump capacity.

Collapsing bubbles can damage your pump’s impeller and volute, causing significant problems for your pump and its mechanical seals.