Open AccessVERIFICATION OF ELECTRICALLY CONDUCTIVE FLUID FLOW CALCULATION IN CIRCULAR PIPES
Author(s) -
Nataliia Chernetskaya-Beletskaya,
Andrii Rogovyi,
Mariia Miroshnykova,
Anton Shtykov
Publication year - 2021
Publication title -
zbìrnik naukovih pracʹ ukraïnsʹkoï deržavnoï akademìï zalìzničnogo transportu/zbìrnik naukovih pracʹ
Language(s) - English
Resource type - Journals
eISSN - 2413-3795
pISSN - 1994-7852
DOI - 10.18664/1994-7852.196.2021.242076
Subject(s) - turbulence , pressure drop , mechanics , magnetohydrodynamics , reynolds number , reynolds stress , hartmann number , flow (mathematics) , physics , magnetic field , compressibility , fluid dynamics , turbulence modeling , computational fluid dynamics , work (physics) , k epsilon turbulence model , classical mechanics , thermodynamics , quantum mechanics , nusselt number
Magnetohydrodynamics (MHD) treats the phenomena that arise in fluid dynamicsfrom the interaction of an electrically conducting fluid with the electromagnetic field. Thedevelopment of computational hydrodynamics has significantly improved the accuracy ofcalculations on mathematical models, but it is still difficult to choose the optimal turbulence models,mesh quality, model parameters to solve a particular problem. The aim of the work is to verify thecalculation of the conducting fluid flow in circular pipes and to determine the optimal error of theturbulence model calculation and the parameters of its use. The study was conducted on the basis ofa comparison of experimental studies by the PIV-method of velocimetry with the results of numericalcalculations. The liquid is considered viscous, incompressible, and electrically conducting. Controlnonlinear momentum equations are solved numerically using the method of control volumes.Comparison of velocity profiles showed that almost all models show a fairly good match with theresults of the experiment. Analysis of the sum of squares residuals of calculation points fromexperimental shows that the BSL Reynolds Stress turbulence model is the best for the flow withoutthe influence of the magnetic field, and the k-ɛ model is the best in the presence of a magnetic field.The SST k-ω model has quite enough results regardless of the Hartmann number. The number ofmesh elements has little effect on the ac-curacy of the pressure drop calculation. For simplegeometries it is enough to use meshes with the number of elements that does not exceed the 5elements. According to all criteria, it is rational to choose the k-ɛ turbulence model for furthercalculations. This model has some shortcomings in the calculation of wall layers, but allows to obtainhigh-quality and adequate results for the flow of conducting fluid with a limit on the mesh elementsnumber.