Another Friday afternoon post, before I head off for the weekend: This is from a German research project ‘SFB/Transregio 96’. Three universities seem to make up this research group (Aachen, Dresden, Chemnitz) that studies thermo-energetic optimization for machining tools

These are schematic Sankey diagrams for two states (ON/OFF) of a heat exchanger.

In a presentation on “Low CO2 production in European food and beverage industry” the author Christoph Brunner from AEE – Institute for Sustainable Technologies (AEE INTEC) suggests process flow sheets and Sankey diagrams as tools used for energy efficiency analysis.

This Sankey diagram is used as an example for the creation of mass and energy balances and the visualization of the production process.

The diagram is from Austria and thefore in German. From translating some words I understand this is probably for a food/dairy industry. Flows are in MWh, but without a time span. Two steam generators (one run with natural gas, the other with petroleum) supply heat to different processes. The cooking chambers (“Kochkammern”) require most, followed by “Selch” (?) and heating of a “KSPW Tank”. Some heat is recovered from condensate.

Sankey diagrams can help understanding the energy flows of process systems and detect hotspots for optimization.

Still sitting on my hard disk are numerous Sankey diagrams I have yet to describe and post them here. The ‘Miscellaneous (Mostly) Uncommented’ series is a way to get them out to you.

A Sankey diagram from process engineering. This one is from a poster by Monika Szolucha from Warszwaw Polytechnic.

Google Translate tells me this is from a stationary membrane filter equipment that enriches methane content in biogas. Flows show throughput in kg per hour.

Martin Grandjean digitized and vectorized Charles Joseph Minard’s World Map of Migration from 1862. His recent post reminds us that no too long ago migrants were also moving from Europe to other places of the world.

via – full vectorized image 2 MB here

The map, based on data for the year 1858, “shows migration flows that contrast with the maps of the twenty-first century. That year, 86.000 Englishmen left their country, as 45.300 Germans, 20.000 French and 11.600 Portuguese.”

Read this interesting post from the Cartographia blog for additional detail on the map.

From a technical point of view, the only criticism I have of Minard’s map is that the direction of the arrows is not indicated. It requires the reader to know about origins or destinations of migration.

You can see the original Minard migration map (“Carte figurative et approximative représentant pour l’année 1858 les émigrants du globe, les pays dóu ils partent et ceux oú ils arrivent”) in this 2009 post and at Wiki Commons or directly at the Library of Congress.

You might want to check out another related June 2015 article by Martin Grandjean, where he points out some shortcomings of migration maps.

In this post on rare earths I have recently featured an alluvial diagram depicting rare earths use from a presentation by T.E.Graedel (Yale). That same presentation also lead me to another article by X. Du & T.E. Graedel titled ‘Uncovering the Global Life Cycles of the Rare Earths Elements’ (open access) that has a number of circular flow diagrams I would call “REE wheels”.

The article describes how quantitative data on rare earths is available for mining and processing, but “very little quantitative information is available concerning the subsequent life cycle stages”. Also, data is mostly available for the overall REE production, but not individually for every single rare earth element. They therefore aim to estimate and approximate the quantities for ten REEs, based on sources from China and Japan.

Here is the REE wheel for Yttrium (element Y) from the article:

The diagram can be read from 7 o’clock to 5 o’clock in a clockwise direction. The processing steps are “Mi” (mining), “S” (separation), “F”(fabrication), “Ma” (manufacturing), “U” (use) and “W” (waste management), thus showing the flow of the rare earth element through the economic cycle.

I did a Sankey diagram version of the above Yttrium REE wheel to have the arrow magnitude representing the quantities. Flows are in Gigagrams (million metric tons) per year.

Due to the fact that the arrows connect horizontally and vertically to the node (and do not run diagonally like in the original) my remake looks less “circular” somehow… in fact it resembles more one of those retro indoor AM/FM loop antennas you would hook to your HiFi. So I am not fully satisfied with the outcome. Would it be better if the nodes were tilted 45°?

What’s nice is that the extraction of ore (17.4 Gg) can be directly compared to the 2.9 Gg Yttrium release to the environment. I switched ore input and tailings output at the mining node to have them side-by-side.

Comments and improvement suggestions welcomed.

This post on the Transsolar ‘Green & Sexy’ blog features two Sankey diagrams. The “climate engineers” at Transsolar use them to model heat flows inside a building based on outside temperature and solar radiation.

No absolute values are given in these demo Sankey diagrams, but one can still get a general idea by observing proportions. Flows are color-coded with solor radiation in yellow, convection in blue, and heat losses in red.

The second Sankey diagram shown is a timeline made 24 frames – one per hour over a full-day. As the outside temperature rises and solar radiation increases around noon, the inside temperature and cooling demand increases.

(via tumblr)

Sankey diagram timeline by Transsolar

The authors explain:

“These Sankey diagrams allow us to see the proportion of how much energy is hitting the facade, how much energy is being radiated into the walls, how much energy is being convected into the air, and how much heating or cooling is actually needed to maintain an acceptable indoor air temperature. The animation is the first example we’ve ever seen of a Sankey diagram that represents the dynamic, ever-changing relationship of heat flows in a building with time.”

After many national energy flow balances, some of which I have presented here on the blog, energy flow balances on a regional level are now coming out of France.

Benoît Thévard who writes on the ‘Avenir Sans Petrol’ blog (a French version of Peak Oil) has an interesting post on ‘Un scénario de transition énergétique citoyen pour la Région Centre’ (translated: An civil energy transition scenario for the Central Region). It summarizes a report published March 2015 by VEN Virage Energie Centre-Val de Loire.

The report features two Sankey diagrams. The first on page 33 is for the actual 2009 energy flows in Centre-Val de Loire (check here to find out about this French region)

Flows are in TWh. Production of nuclear energy comes with huge losses (efficiency approx. 35%). The main consumers in the region are residential and services, followed by transport. Energy consumption in industry plays a comparably smaller role in the region. The report explains that the region is vast and not densely populated and houses are older and larger on average compared to other regions (“le territoire est vaste et peu dense et les logements sont anciens et sont plus grands”). Another report mentioned on p. 21 calls the region énergívore (a beautiful word I read for the first time).

The other Sankey diagram on page 37 shows a nuclear-free and almost fossil fuel free scenario for 2050. Overall consumption is drastically reduced (2009 energy consumption approximately 75 TWh, 2050 energy consumption scenario 32,4 TWh). The scenario relies on a diversification of energy sources with an emphasis on wind energy and biogas. The region would hardly export any energy in 2050 anymore.

Just like for the India 2031 scenario I discussed in my last post, the two Sankey diagrams shouldn’t be compared directly, since the scale is different.

The report also has clear and straight-forward explanation on how to read the diagrams (page 32). This “diagramme de Sankey se lit de la gauche vers la droite, en partant des productions régionales d’énergie primaire et des importations, sur la gauche, pour aller jusqu’au consommateur final, sur la droite. L’épaisseur des traits est proportionnelle aux flux physiques exprimés en TWh.”

I think this a remarkable piece of information for the public. And not only because it contains Sankey diagrams. It is beautifully non-academic and inspiring to read. Those of you who understand French should have a look.

I have often wondered why we don’t see more Sankey diagrams coming out of India. With a population of 1.252 billion and a solid engineering education (according to AICTE 2011/2012 report: 3495 degree-granting engineering colleges in India with an annual enrollment crossing 1.2 million, 16% of Indian students take an engineering/technology course, number of graduates from technical colleges was over 700,000 in 2011) I would have expected more.

Maybe it is just because I don’t know how to read and write in Hindi, to look for the right term. This should be Sankey diagram in Hindi (please correct me if I am wrong): sankey_diagram_hindi

Anyways, the 2006 report ‘National Energy Map for India. Technology Vision 2030* published by the Office of the Principal Scientific Adviser to the Government of India (PSA/2006/3) does have a number of Sankey diagram figures.

This one shows energy flows for India in 2001

This Sankey diagram below is for one of the different scenarios for energy generation and use in India in 2031, called the ‘High energy efficiency scenario’. The stacked bar at the left is lower, but the absolute numbers for total commercial energy supply are much higher in 2031 than in 2001 in all energy scenarios, so these diagrams mustn’t be compared directly one to another.

See the appendix A5 (pp 271-278) for more Sankey diagrams for other 2031 Indian energy scenarios.