The calculation of turbulence statistics is considered the key unsolved problem of fluid
mechanics, ie, precisely the computation of arbitrary statistical velocity moments from first …

The primary object of this study is to derive new scaling laws for passive scalar statistical
quantities in temporally and spatially evolving plane turbulent jet flows. We apply Lie …

The symmetry-based turbulence theory has been used to derive new scaling laws for the
streamwise velocity and temperature moments of arbitrary order. For this, it has been …

The geometric methods have experienced a fast growth in the past few decades. In this
survey, we discuss the use of Lie groups in continuum mechanics. We address both the …

In the study by Sadeghi & Oberlack [JFM 899, A10 (2020)] it is claimed that new scaling laws
are derived for the case of passive scalar dynamics under the influence of a constant mean …

We compute the Lie symmetries of characteristic function (CF) hierarchy of compressible
turbulence, ignoring the effects of viscosity and heat conductivity. In the probability density …

This thesis analyzes a high Reynolds number, axisymmetric, turbulent pipe flow for the
purpose of developing a turbulence model that describes the mean velocity and two-point …