کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
660072 | 1458140 | 2008 | 5 صفحه PDF | دانلود رایگان |
Navier–Stokes equations with first-order and second-order accurate slip boundary conditions are provided to describe the two-dimensional gaseous steady laminar flow between two plates in transition region. A new similarity transformation for the controlling equations with boundary conditions was given so as to obtain the ordinary differential controlling equation. An analytical solution was provided for this strong nonlinear ordinary differential equation using a powerful, easy-to-use analytic technique for nonlinear problems, that is, the homotopy analysis method (HAM). By analyzing solutions and comparing with the results of other investigators, it is proved that the results are not accurate or physically wrong either obtained from calculation of Navier–Stokes equations with first-order boundary condition or second-order slip boundary condition in transition flow region, although some parameters may fit well with the experimental data. So, Navier–Stokes equations cannot govern the gaseous flow in transition region.
Journal: International Journal of Heat and Mass Transfer - Volume 51, Issues 25–26, December 2008, Pages 6323–6327