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Momentum-scalar coupling turbulence, a phenomenon observed in both naturaland engineering contexts, involves the intricate interaction betweenmulticomponent scalars and multiscale forces (i.e. multiple couplingmechanisms), resulting in a wide array of manifestations. Despite itsimportance, limited research has been conducted to comprehend the influence ofthese multicomponent and multiple coupling mechanisms on turbulence cascades.Hence, this study aims to provide a preliminary and theoretical explorationinto how these multiple coupling mechanisms govern the cascades of turbulentkinetic energy and multicomponent scalars. The key findings of this study canbe summarized as follows: (1) Validation of Quad-cascade processes. (2)Examination of various cases involving single scalar components but multiplecoupling mechanisms. Of particular interest is the coexistence ofbuoyancy-driven turbulence and electrokinetic turbulence, which introduces anew VF subrange resulting from their nonlinear interaction. Another extensionconsiders an exponential modulation function, equivalent to the coexistence ofmultiple coupling mechanisms acting on a single scalar. The study identifiestwo new VF subranges. (3) Binary scalar components and coupling mechanisms areinvestigated, indicating coupling mechanisms with significantly differentstrengths can also induce complex interactions and new VF subranges. Thishighlights the challenges inherent in addressing the simultaneous presence ofmultiple scalar components and coupling mechanisms. This research endeavorilluminates the theoretical understanding of the diverse scaling propertiesobserved in momentum-scalar coupling turbulence across different scenarios.

Cascades of turbulent kinetic energy and multicomponent scalars in a  momentum-scalar coupling turbulence driven by multiscale forces under  homogeneous and isotropic hypotheses