Analytical solution of the incompressible Navier-Stokes equations
F Salmon - arXiv preprint arXiv:1901.10532, 2019 - arxiv.org
arXiv preprint arXiv:1901.10532, 2019•arxiv.org
The Navier-Stokes equations, which govern fluid motions, are not resolved yet. This
investigation relates to the application of the power series method to the incompressible
Navier-Stokes equations. This method involves replacing variables by power series in the
equations. The resulting relations allow the computation of the series coefficients from the
initial and boundary conditions. All the steps of applying the method to the Navier-Stokes
equations are detailed and the exact analytical solution is then established. The last part …
investigation relates to the application of the power series method to the incompressible
Navier-Stokes equations. This method involves replacing variables by power series in the
equations. The resulting relations allow the computation of the series coefficients from the
initial and boundary conditions. All the steps of applying the method to the Navier-Stokes
equations are detailed and the exact analytical solution is then established. The last part …
The Navier-Stokes equations, which govern fluid motions, are not resolved yet. This investigation relates to the application of the power series method to the incompressible Navier-Stokes equations. This method involves replacing variables by power series in the equations. The resulting relations allow the computation of the series coefficients from the initial and boundary conditions. All the steps of applying the method to the Navier-Stokes equations are detailed and the exact analytical solution is then established. The last part discusses the domain of convergence of the solution.
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