Self-Similar Solutions of Three-Dimensional Navier-Stokes Equation

Barna, IF [Barna, Imre Ferenc (Áramlástani egyen...), author] Institute for Atomic Energy Research (CER)

English Article (Journal Article) Scientific
Published: COMMUNICATIONS IN THEORETICAL PHYSICS 0253-6102 56 (4) pp. 745-750 2011
  • SJR Scopus - Physics and Astronomy (miscellaneous): Q3
  • Physical sciences
In this article we will present pure three dimensional analytic solutions for the Navier-Stokes and the continuity equations in Cartesian coordinates. The key idea is the three-dimensional generalization of the well-known self-similar Ansatz of Barenblatt. A geometrical interpretation of the Ansatz is given also. The results are the Kummer functions or strongly related. Our final formula is compared with other results obtained from group theoretical approaches.
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2022-05-21 14:56