Author:
But I. I.,Gailfullin A. M.,Zhvick V. V.
Abstract
Abstract
We consider a steady submerged laminar jet of viscous incompressible fluid flowing out of a tube and propagating along a solid plane surface. The numerical solution of Navier–Stokes equations is obtained in the stationary three-dimensional formulation. The hypothesis that at large distances from the tube exit the flowfield is described by the self-similar solution of the parabolized Navier–Stokes equations is confirmed. The asymptotic expansions of the self-similar solution are obtained for small and large values of the coordinate in the jet cross-section. Using the numerical solution the self-similarity exponent is determined. An explicit dependence of the self-similar solution on the Reynolds number and the conditions in the jet source is determined.
Subject
Fluid Flow and Transfer Processes,General Physics and Astronomy,Mechanical Engineering
Reference22 articles.
1. N. I. Akatnov, “Propagation of a plane laminar jet of viscous fluid along a solid wall,” Trudy Leningr. Politekhn. Inst. No. 5, 24–31 (1953).
2. M. B. Glauert, “The wall jet,” J. Fluid Mech. 1, 625–643 (1956).
3. R. Krechetnikov and I. Lipatov, “Hidden invariances in problems of two-dimensional and three-dimensional wall jets for Newtonian and non-Newtonian fluids,” SIAM J. Appl. Math. 62 (6), 1837–1855 (2002).
4. G. I. Barenblatt, Self-Similar Phenomena – Dimensional Analysis and Scaling (Intellekt, Dolgoprudny, 2009) [in Russian].
5. H. Schlichting, “Laminare Strahlausbreitung,” Z. Angew. Math. Mech. 13 (4), 260–263 (1933).
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