In the present note, we show that the uni-directional flows in a rectangular channel and in a circular pipe are exact spatio-temporal solutions of the Navier-Stokes equations over a short time interval. We assert that the classical plane Poiseuille-Couette flow and Hagen-Poiseuille flow are ...
exact solutionnonisothermal flowWe present an analytic representation of an exact solution of the Navier–Stokes equations that describe flows of a rotating horizontal layer of a liquid with rigid and thermally isolated bottom and a...doi:10.1007/s10958-018-3796-yK. G. Shvarts...
Exact solution of the Navier - Stokes equations for the oscillating flow in a duct of a cross-section of a right-angled isosceles triangle. J Appl Math (ZAMP). 2003;54(6):1094-1100.S. Tsangaris and N.W. Vlachakis , Exact solution of the Navier-Stokes equations for the oscillating ...
Solutions to the Navier-Stokes equations are presented for the problem of the shock wave structure in a viscous heat-conducting gas. In particular, an exact solution to the problem is obtained which describes the continuous change in gas parameters with variable viscosity and heat conductivity coeffi...
R. (1984) A class of exact solutions to the Navier-Stokes equations. International Journal of Engineering and Science 22: pp. 451-458A class of exact solutions to the Navier-Stokes equations. Rajagopal,K. R. International Journal of Engineering and Science . 1984...
摘要: Exact similarity solutions of the Navier-Stokes equations are found for stagnation flows towards a plate with slip. The solutions are applicable to the slip regime of rarefied gases.关键词: Theoretical or Mathematical/ Navier-Stokes equations slip flow stagnation flow/ Navier-Stokes equations ...
In this paper we propose a new method for obtaining the exact solutions of theNavier-Stokes (NS) equations for incompressible viscous fluid in the light of the theory of simplified Navier-Stokes(SNS) equations developed by the first author. Using the present method we can find some new exact...
Steady-state solutions in the Cartesian and polar coordinate systems; Differences between traveling-wave solution and self-similar solution.PolyaninA. D.Doklady PhysicsPolyanin, A. D., Exact solutions to the Navier-Stokes equations with generalized separation of vari- ables, Doklady Physics, 2001,...
An exact solution of the Navier-Stokes equation is given which represents steady two-dimensional stagnation-point flow of a viscous fluid impinging on a pl... Tamada,Ko - 《Journal of the Physical Society of Japan》 被引量: 116发表: 2007年 Axisymmetric stagnation-point flow and heat transfer...
Seed and soliton solutions for Adler's lattice equation Journal of Physics A Mathematical & TheoreticalAtkinson J, Hietarinta J, Nijhoff F W. Seed and soliton solutions for Adler's lattice equation[J]. ... J Atkinson,J Hietarinta,F Nijhoff - 《Journal of Physics A Mathematical & Theoretical...