کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4493713 | 1318664 | 2012 | 5 صفحه PDF | دانلود رایگان |
Reliable knowledge of a free falling solid particle in a quiescent liquid is necessary for a range of chemical, mineral and process engineering applications. A recent series-integral-based mathematical method, called the variational iteration method, is used, and a semi-exact solution is derived for the instantaneous velocity of the particle versus time. The equation is solved for its general form and for a realistic combination of solid–liquid systems, and the convergence of the methods is examined for a special case. The results obtained are compared with previous analytical results and the finite difference method. The outcomes clearly demonstrate the falling behavior of a particle settling in an incompressible fluid and show the effectiveness and simplicity of the current mathematical method.
Journal: Journal of Hydro-environment Research - Volume 6, Issue 4, December 2012, Pages 323–327