Revisiting finite-scale Navier–Stokes theory: Order-of-magnitude results, new critical values, and connections to Stokesian fluids

Publication date: Available online 13 February 2020Source: Physics Letters AAuthor(s): P.M. Jordan, R.S. KeifferAbstractWe return to Ref. [7] and present, as well as note the implications stemming from, a rigorous order-of-magnitude-based derivation of the governing system considered therein. The system in question models the ‘piston problem’ for the case of a viscous, but thermally non-conducting, gas with constant transport coefficients under the generalization of the Navier–Stokes (NS) equations known as the finite-scale Navier–Stokes (FSNS) equations. Our analysis also provides a rigorous derivation of the FSNS system considered in Ref. [12], highlights links between FSNS theory and Stokesian fluids, and examines the possible applicability of generalizations of the perfect gas law to finite-scale theory. We conclude with a brief discussion regarding new critical values of the averaging length scale.
Source: Physics Letters A - Category: Physics Source Type: research