Turbulence: The Covariant Structure
Free (open access)
167 - 178
T. H. Moulden
This paper recalls the covariant structure of the Newtonian theory of fluid mechanics and considers its extension to fluid turbulence. This structure requires that the field equations be covariant under the Newtonian group (that is, under both the Galilean group and the axial group): the dynamics are then consistent with the first axiom of Newtonian continuum thermomechanics. The covariance structure of the Reynolds decomposition under this Newtonian group is the main interest herein. Keywords: Newtonian fluid mechanics, covariance structure, turbulence.
Newtonian fluid mechanics, covariance structure, turbulence.