Posted Apr 26, 2007 at 11:23AM by Ryan A. Listed in: Mathematics, Engineering Tags: Carnegie Mellon University, New York
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Beer foam equation leads to advancement of Materials Engineering - Image 1This next one may sound useless but we're telling you now, it will prove to be useful and significant in the future. It seems that New York-based Yeshiva University researchers just cracked the code for the perfect head on a glass of beer using Mathematics. The new derived formula allows the prediction of beer foam evolution.

What now? Well, in case you haven't realized, this is also connected to the long sought equation for the growth and shrinkage of individual bubbles in foam as well as crystalline grains in metals, semiconductors and semiconductors. The study was partially started by renowned mathematician John von Neumann back in 1952.

If the equation turns out to be accurate, it will lead to more significant developments in the field of Materials Engineering. David Kinderlehrer of Carnegie Mellon University in Pittsburgh commented that this development is actually universal and is going to touch everything from airplane wings to nuclear reactors and even microprocessors.

Beer foams, much like metals and multi-cellular organisms, are composed of microscopic spaces or domains. These domains, furthermore, are always in contact with each other because of surface tension - caving in, bulging out, shrinking, growing, and whatnot.

Kinderlehrer said that this exact problem has already been solved in two dimensions but clearly, the problem lies with 3D cases as these materials have more domains which in turn have more edges that affect neighboring spaces. Now that the equation has been figured out, Kinderlehrer said that the task now lies in knowing how these networks behave.

In case you are interested, the equation was derived by applying the math concept of mean width. Therefore, the change in volume in these type of materials can be computed as "the sum of the lengths of the domain's edges minus six times the mean width of the domain, all multiplied by a constant that is particular to the material.

We don't know much about math, but we will certainly drink to that!


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