Linear and Angular Momentum Invariants in Homogeneous Turbulence
- 1k Downloads
We discuss the constraints imposed on the evolution of freely-decaying turbulence by the laws of conservation of linear and angular momentum. In particular, we explain the results of recent numerical simulations in terms of angular momentum conservation. These simulations show that, once the turbulence reaches a mature state, with a fully-developed vorticity field, its kinetic energy decays as t-10/7, a result which is consistent with the classical theories of Landau and Kolmogorov, and inconsistent with Markovianised closure models.
Keywordsinvariants in turbulence Loitsyansky’s integral angular momentum decaying turbulence Kolmogorov’s decay law
Unable to display preview. Download preview PDF.
- 2.Landau LD, Lifshitz EM (1959) Fluid mechanics 1st Ed, PergamonGoogle Scholar
- 4.Davidson PA (2004) Turbulence: an introduction for scientists and engineers. Oxford University PressGoogle Scholar
- 6.Kolmogorov AN (1941) Dokl Akad Nauk SSSR 31(6):538–541Google Scholar
- 10.Davidson PA (2006) The role of angular momentum invariants in homogeneous turbulence In: Mathematical and Physical Theory of Turbulence, J Cannon & B K Shivamoggi eds, Chapman & HallGoogle Scholar