An assessment of Onsager’s concept of scale invariance: 1 We stated Onsager’s criterion [1] for an inertial range in terms of a scale-invariant flux as equation (4) in our post of 24 June 2024. In order to assess Onsager’s concept, we begin by considering the Lin equation in terms of the energy spectrum and theContinue reading An assessment of Onsager’s concept of scale invariance: 1

Onsager’s (1945) interpretation of Kolmogorov’s (1941a) theory: 4 In his 1964 paper, Corrsin [1] explained Onsager’s theory in a more up to date notation. We will build on that treatment here, but we shall use an even more modern notation. In particular, we will use for the energy spectrum and for the dissipation rate. InContinue reading Onsager’s (1945) interpretation of Kolmogorov’s (1941a) theory: 4

Onsager’s (1945) interpretation of Kolmogorov’s (1941a) theory: 3 Returning to this topic after my holiday, I will focus on Onsager’s 1945 abstract [1]. This is brief to the point of being cryptic and requires exegesis, but we shall defer that to the next post. For the moment we will concentrate on its relationship to KolmogorovContinue reading Onsager’s (1945) interpretation of Kolmogorov’s (1941a) theory: 3