Study On The Structure Of Three-dimensional Burgers Fluid Flow Under The Effect Of Helicity

Helicity,as an important physical quantity for studying the evolution of turbulent systems,characterizes the degree to which a vector field is twisted and wrapped around itself,which can help us understand the dynamical properties and energy transfer processes of fluids.Helicity is a key research direction in the field of turbulence and plays an important role in many natural phenomena,such as atmospheric and oceanic flows,as well as plasmas.Burgers fluid is a highly nonlinear fluid model widely used in fluid mechanics and physics.In Burgers fluid,helicity can be used to describe the rotational structure and turbulence of the fluid.By studying the helicity in Burgers fluid,we can better understand important physical quantities such as rotational structures,turbulence intensity,and turbulence energy dissipation rates,and also help predict the evolution of turbulence.This article systematically studies the helicity effect in Burgers fluid and presents the following conclusions:1.The dynamic helicity in Burgers fluid can reduce the compressibility of the flow and can reduce compressibility by about 20%compared to the non-helical flow at large scales.In MHD-Burgers fluid,magnetic helicity is conducive to the enhancement and maintenance of the magnetic field,and can reduce compressibility through the feedback of the Lorentz force.2.The kinetic helicity in Burgers fluid can generate a dynamo effect,maintain the magnetic field,and suppress fluctuations in passive scalar energy.Compared with Navier-Stokes fluid,the dynamo effect is weaker.3.A simulation of the Burgers flow with helicity in the form of Schur decomposition has been implemented based on existing open-source programs.Helicity can promote the mutual conversion of kinetic energy in different directions in the flow and is also conducive to reducing the energy of parallel modes in the flow.The helicity effects in Burgers fluid discussed in this work can help us better understand the mechanisms of helicity effects and provide a theoretical basis for potential practical applications.It also provides a foundation for future studies on the helicity effects in different flow models.