Sankey Diagrams (Oxford AQA IGCSE Combined Science Double Award)
Revision Note
Written by: Leander Oates
Reviewed by: Caroline Carroll
Sankey Diagrams
Sankey diagrams can be used to represent energy transfers or energy flow in a system
Sankey diagrams are characterised by arrows that split to show the proportions of the energy transfers taking place
The different parts of the arrow in a Sankey diagram represent the different energy transfers:
The left-hand side of the arrow (the flat end) represents the energy transferred into the system
The straight arrow pointing to the right represents the energy that ends up in the desired store; this is the useful energy output
The arrows that bend away represent the wasted energy
Features of a Sankey diagram
The width of each arrow is proportional to the amount of energy being transferred
The law of conversation of energy states that:
Total energy in = total energy out
Total energy in = Useful energy out + Wasted energy
A Sankey diagram for a modern efficient light bulb will look very different from that for an old filament light bulb
A more efficient light bulb has less wasted energy
This is shown by the smaller arrow downwards representing the heat energy
Comparing Sankey diagrams for a filament and an energy efficient bulb
Worked Example
An electric motor is used to lift a weight. The diagram represents the energy transfers in the system.
Calculate the amount of wasted energy.
Answer:
Step 1: State the conservation of energy equation
Step 2: Rearrange the equation for the wasted energy
Step 3: Substitute the values from the diagram
Examiner Tips and Tricks
Drawing good Sankey diagrams takes practice
It can be difficult to create a diagram that is to scale
Start by planning your diagram using graph paper and a ruler:
How many squares or mm wide will you make the input arrow?
How many squares or mm wide will the useful energy out arrow need to be?
How many squares or mm wide must the wasted arrow be?
Next, start drawing the diagram one step at a time:
Draw the left-hand side of the arrow, along with the line going across the top
Next add the useful energy out arrow, making sure it is the correct width
Now carefully mark the start and end of the wasted arrow – make sure your marks are the correct distance apart
Finally join the markings together, finishing the wasted energy arrow
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