کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1878271 | 1042295 | 2011 | 7 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: An exact solution of the 3-D Navier–Stokes equation An exact solution of the 3-D Navier–Stokes equation](/preview/png/1878271.png)
We continue our work (A. Muriel and M. Dresden, Physica D 101, 299, 1997) to calculate the time evolution of the one-particle distribution function. An improved operator formalism, heretofore unused, is applied for spatially uniform initial data. We then choose a Gaussian pair potential between particles. With these two conditions, the velocity fields, energy and pressure are calculated exactly. All stipulations of the Clay Mathematics Institute for proposed solutions of the 3-D Navier-Stokes Equation [http://www.claymath.org/millennium/Navier-Stokes_Equations/navierstokes.pdf] are satisfied by our time evolution equation. We then substitute our results for the velocity fields into the 3-D Navier-Stokes Equation and calculate the pressure. The results from our time evolution equation and the prescribed pressure from the Navier-Stokes Equation constitute an exact solution to the Navier-Stokes Equation. No turbulence is obtained from the solution.
Journal: Results in Physics - Volume 1, Issue 1, 2011, Pages 2–8