Analysis of viscoelastic fluid flow around a cylinder based on lattice Boltzmann method
Received:October 22, 2021  Revised:November 18, 2021
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DOI:10.7511/jslx20211022001
KeyWord:smooth profile method  viscoelastic fluid  Lattice Boltzmann Method  drag coefficient
        
AuthorInstitution
李勇 华东理工大学 机械与动力工程学院, 上海
李汉清 华东理工大学 机械与动力工程学院, 上海
何录武 华东理工大学 机械与动力工程学院, 上海
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Abstract:
      The smooth profile method is introduced into the lattice Boltzmann method to analyze the flow of a viscoelastic fluid around a circular cylinder and an elliptical cylinder.The single relaxation model and advection-diffusion model are used to solve the equation of motion and Oldroyd-B constitutive equation respectively.For circular and elliptical internal boundary conditions,the continuous interface interpolation function is given.On this basis,the internal boundary is transformed into a force term and applied to the evolution equation by using the smooth profile method.Firstly,the flow around the cylinder is analyzed,and the calculation results of the flow field and drag coefficient under different material parameters are given,which are found to be consistent with the macro numerical simulation results,through comparison.The model is extended to the flow around an elliptical cylinder,and the effects of the ellipse shape and viscoelastic material parameters on the flow are analyzed.It is found that the drag coefficient decreases with the increase of the ratio of the major axis to the minor axis of the cylinder and Weissenberg number,and the ratio of the major axis to the minor axis has a great influence on the convergence of iterations.