Batchelor (1967) discusses that numerous experimental evidences have pointed to the assumption which every fluid dynamicist make in day-to-day life: assuming fluid flow as smooth and continuous. The length scale for such assumption should be large enough to accomodate molecular fluctuations of density and other properties and small enough to not any effect of spatialContinueContinue reading “Missing mathematical basis of continuum hypothesis (fluid mechanics)”
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Turbulence VS Functional analysis
Moffatt (2021) [1] discusses the two main and complementary approaches to solve the regularity problem. The view by pure mathematicians on the turbulence models is best summarized by Lemarie-Rieusset (2016) as follows: View of large scales and small scale fluid parcels by Lemarie-Rieusset (2018): [1] Moffatt, H. K. (2021). Some topological aspects of fluid dynamics. JournalContinueContinue reading “Turbulence VS Functional analysis”
Landmark ideas
Euler was the first mathematician to derive the equations, for an inviscid fluid, conserving mass and momentum. First person to express Newton’s law (for a point mass) for the case of a continuous medium, he could do so by (in the words of Truesdell):looking within the interior moving fluid, where neither eye nor experiment mayContinueContinue reading “Landmark ideas”
