One response to “Buckingham Pi Across the Nth Dimension”

  1. GEARS

    I totally get the point of dimensionless units but at the same time, I despise using them. Maybe it’s my aversion to fluid dynamics and heat transfer but when you’re plotting a surface plot of a unitless number versus 3 dimensionless quantities, it just seems like gibberish. You lose all sense of physical meanings of the variables (ie: is this beam thick or thin and is that assumption reasonable).

    I’d much rather prefer to normalize problems like that to standard values like specific stiffness (Modulus/density) or CTE/thermal conductance… Stuart Smith has a great listing in his book. (http://www.amazon.com/Foundations-Ultra-Precision-Mechanism-Design-Stuart/dp/2884490019) It has a nice chart for comparing material properties of typical engineering materials.