Abstract
The Reynolds number defined by (2.8) is the dimensionless parameter appearing in the momentum balance (2.7) of the Navier–Stokes equations that indicates the fundamental character of the flow of an incompressible fluid. The parameters determining this number are the length scale L, the velocity scale U and the kinematic viscosity \(\tilde{\nu }\) as measure of resistance to shearing motion or the dynamic viscosity \(\tilde{\mu }=\tilde{\rho }\tilde{\nu }\) plus density. This number can be computed, if the following condition is satisfied: Length and velocity scales characteristic for the flow can be identified. The definition of length and velocity scales is in general not unique and in some cases there is no obvious a priori choice for them. The present arguments and conjectures for the limit of infinite Reynolds numbers are discussed.
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Kollmann, W. (2019). The Limit of Infinite Reynolds Number for Incompressible Fluids. In: Navier-Stokes Turbulence. Springer, Cham. https://doi.org/10.1007/978-3-030-31869-7_22
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DOI: https://doi.org/10.1007/978-3-030-31869-7_22
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