کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1897646 1044558 2012 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Small-scale vorticity filaments and structure functions of the developed turbulence
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Small-scale vorticity filaments and structure functions of the developed turbulence
چکیده انگلیسی

We develop a theory of turbulence based on the Navier–Stokes equation, without using dimensional or phenomenological considerations. A small scale vortex filament is the main element of the theory. The theory allows to obtain the scaling law and to calculate the scaling exponents of Lagrangian and Eulerian velocity structure functions in the inertial range. The obtained results are shown to be in very good agreement with numerical simulations and experimental data. The introduction of stochasticity into the equations and derivation of scaling exponents are discussed in details. A weak dependence on statistical propositions is demonstrated. The relation of the theory to the multifractal model is discussed.


► We develop a theory of turbulence based on the Navier–Stokes equation.
► The introduction of stochasticity into the equations is discussed.
► Scaling exponents of velocity structure functions are calculated.
► The results are compared with Multifractal model.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 241, Issue 3, 1 February 2012, Pages 269–275
نویسندگان
, , ,