Sankey Diagrams

Sankey diagrams show material, energy and cash flows with arrows proportional to the flow quantity. They are used in energy management and manufacturing to visualize flows. 

What are Sankey diagrams?

Sankey diagrams are a great alternative to common flow charts, especially when visualizing energy, cash or material flows.

They are gaining popularity in energy management, facility management, process engineering and process control.

Sankey diagrams feature colored, directed arrows, whose width (magnitude) is proportional to quantity of flow along the arrow: if an arrow is twice as wide it represents double the quantity, be it energy, water, or cash flows.

Sankey diagrams draw the attention to the largest flows in the system.

Why should I use Sankey diagrams?

In comparison to conventional diagrams, Sankey diagrams are more suitable for visualizing energy or material flows:

  • The width of the arrows in Sankey diagrams is proportional to the material and energy flow quantity displayed. The larger the width of an arrow, the larger the material or energy flow. The viewer's focus is drawn to the most significant flows.
  • The arrows in Sankey diagrams show flows from one node (e.g. stock, process, machines) to another node. This fact makes Sankey diagrams ideal for production systems or for value chains. This can not achieved with Excel tables.
  • Sankey diagrams communicate your message more attractively - within your team or to customers and external partners.

Sankey diagrams are named after the Irish engineer Captain Matthew H.R. Sankey (1853-1925)

Example 1: Food Supply Chain

In this rather simple Sankey diagram we can see losses along a process chain for food. In every step the losses are shown as an arrow branching out to the bottom, labeled with percentages (mass-%).

So here we have no absolute quantitites (although the diagram is based on real data), but only proportions.  One could call this the "efficiency" of food production, processing and consumption.

The Sankey diagram has been created with e!Sankey.
Source: David Lisle, 'Know The Flow' blog, based on data from a study by FAO.

Example 2: Battery of an ELV

Very often we find Sankey diagrams which have a left-to-right orientation (just as the reading direction for many, but not all scripts). However, in e!Sankey you do not have any limitations as to the flow directions. This is helpful when depicting material flows in a production systems, or, as is the case in this Sankey diagram, when visualizing loops.

In this example the arrows actually run counter clockwise, down on the left side, and up again on the right side: The diagram shows a battery cycle for an electric vehicle (ELV) with losses braching out.


Example 3: Energy balance of a country

Sankey diagrams are used very often for energy balances in a region or in acountry,

This example is an energy balance from Malaysia in 2011. The unit of the flows is 'Million tonnes of oil equivalent' ('Mtoe').

This Sankey diagram is made with the software e!Sankey. Click the image to see more details.

A picture is worth a thousand words. A Sankey diagram is worth thousand pie charts.

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Sankey Diagrams

Sankey diagrams are used for visualization of material and energy flows.

  • Sankey diagrams show energy or mass flows with arrows proportional to the flow quantity
  • Sankey diagrams have directed arrows, they feature flows 'from' > 'to' in a process, production system or supply chain
  • Sankey diagrams draw the attention of the reader to the largest flows, the largest consumer, the main losses. Flow quantities that have different dimensions are understood intuitively.
  • With Sankey diagrams you communicate effectively and get your message across: Whether it is to external stakeholders or within your project team.
  • There is no standardized definition of how Sankey diagram should look or must be set up. There are numerous design and layout options.

The software e!Sankey is a dedicated tool for drawing Sankey diagrams. The program is suited to visualize energy flows (energy flow diagrams, energy balance) and material flows (mass/goods, value streams).