1 Some closed form solutions to the Navier - Stokes equations
نویسنده
چکیده
An algorithm for generating a class of closed form solutions to the Navier-Stokes equations is suggested, with examples. Of particular interest are those exact solutions that exhibit intermittency, tertiary Hopf bifurcations, flow reversal, and hys-teresis.
منابع مشابه
A comparative study between two numerical solutions of the Navier-Stokes equations
The present study aimed to investigate two numerical solutions of the Navier-Stokes equations. For this purpose, the mentioned flow equations were written in two different formulations, namely (i) velocity-pressure and (ii) vorticity-stream function formulations. Solution algorithms and boundary conditions were presented for both formulations and the efficiency of each formulation was investiga...
متن کاملMathematical modelling of Sisko fluid flow through a stenosed artery
In the present study, the nonlinear model of non-Newtonian blood flow in cosine-shape stenosed elastic artery is numerically examined. The model is carried out for axisymmetric, two-dimensional and fully developed blood flow. The vessel wall is assumed to be have time-dependent radius that is important factor for study of blood flow. The cosine-shape stenosis convert to rigid artery by using a ...
متن کاملer si on 1 - 3 M ar 2 00 8 Fine properties of self - similar solutions of the Navier – Stokes equations ∗
We study the solutions of the nonstationary incompressible Navier–Stokes equations in R , d ≥ 2, of self-similar form u(x, t) = 1 √
متن کاملScientific Flow Field Simulation of Cruciform Missiles Through the Thin Layer Navier Stokes Equations
The thin-layer Navier-Stokes equations are solved for two complete missile configurations on an IBM 3090-200 vectro-facility supercomputer. The conservation form of the three-dimensional equations, written in generalized coordinates, are finite differenced and solved on a body-fitted curvilinear grid system developed in conjunction with the flowfield solver. The numerical procedure is based on ...
متن کاملFine properties of self-similar solutions of the Navier-Stokes equations
We study the solutions of the nonstationary incompressible Navier–Stokes equations in R , d ≥ 2, of self-similar form u(x, t) = 1 √
متن کامل