When we know the Kolmogorov scale (smallest eddy size) and integral scale (largest eddy size), what role does Taylor micro-scale play in explaining the physics of turbulent flow?
Any textbook/research paper reference is appreciated.
You can think about the Taylor micro-scale as the largest of the dissipative scales. In other words, it defines the end of the inertial cascade..
Have a look to these books:
https://www.cambridge.org/core/books/an-introduction-to-turbulent-flow/1544AA34040E22C492D357EDCB06810A#
Article Turbulent Flows
Think of it like, [kolmogorov, Taylor] scales as lower and upper bounds of an inertial cascade. Ideally in any flow, we see Energy containing range ( which we can call as Production) like vortices, eddies etc. Energy gets transferred from these Production range to Dissipation range. The biggest of the length scale from when dissipation starts is Taylor scale and minimum is Kolmogorov.
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