ПОРОМАСШТАБНОЕ МОДЕЛИРОВАНИЕ ПОТОКА ЖИДКОСТИ В ПРОНИЦАЕМЫХ СФЕРАХ С ИСПОЛЬЗОВАНИЕМ ПРОЕКЦИОННОГО МЕТОДА ДЛЯ НЕСЖИМАЕМЫХ УРАВНЕНИЙ НАВЬЕ-СТОКСА

Zhibek Akasheva,Darezhat Bolysbek,Aziz Kudaikulov,Bakytzhan Assilbekov

doi:10.55452/1998-6688-2021-18-2-6-11

Abstract

The direct numerical simulation (DNS) is an effective and useful tool in the two-phase fluid flow studying. The projection method on the staggered grid was applied in this paper to solve the incompressible Navier-Stokes equations in irregular domains at the pore-scale level (irregular boundary is presented by its level-set function). The permeability of porous medium which was constructed by the random positioning of penetrable spheres of equal radii were numerically calculated and validated by comparing with theoretical estimations of permeability based on the numerical solution of the lattice-Boltzmann equation in irregular domains in previous works. All numerical calculations were performed using PARIS simulator.

Highlights

[w1h2e]r.e x⃗⃗x⃗⃗CC In is the position order to find of the center of cubic the permeability of dou⃗mu the porous m2edium
0.001496 is: ue of the porosity of porous medium which was constructed by the random KK1∗ =8 RKRK2 = 6ππR1R3NN (1 + 34ψψ (1 − √ψ8ψ − 3K)K2)∗ = RKRK2 = 6ππφRRφ3NN
ThevcaloumTeshpoeafcrtoihmseoppnaorroiosfsoinntyouafmnnduemsroiecliradiclsaaulnrafndadctethhoeefooprroeerttiociucaslal vpaaroelsuistehiosonwoinnfgitnhoefthpepeofnirgeoutrsraeibstlye2 aaspnnhdde3rse,osrleiosdpf eescqutuirvafelalcyra.edioi f porous mediumThwemhceidocimuhmpwaarwisshcoiconhnoswftranusucmtceoednrsbitcryaulcrtaaenddobtmyheporaornesdtioitcmioalnvinagluoefspoefntehterapbolreospithyearnesd osfoleiqdusaulrrfadceiioafreposhroouwsn inmtehdeiufmiguwrehsic2h awnads3c,ornesstpruecctteivdebly.random positioning of penetrable spheres of equal radii are shown in the figures 2 and 3, respectively

Summary

Introduction

CЫҒЫЛМАЙТЫН НАВЬЕ-СТОКС ТЕҢДЕУІНЕ АРНАЛҒАН ПРОЕКЦИОНДЫ ӘДІСТІ ҚОЛДАНА ОТЫРЫП ӨТПЕЛІ СФЕРАЛАРДАН ӨТЕТІН АҒЫНДЫ КЕУЕК МАСШТАБЫНДА МОДЕЛЬДЕУ Бұл мақалада шахмат торын қолданып проекциялау әдісі кеуек масштабында тұрақты емес аймақтардағы сығылмайтын сұйықтық үшін Навье-Стокс теңдеулерін шешу үшін қолданылады. К.1, КУДАЙКУЛОВ А.А.1, АСЫЛБЕКОВ Б.К.1, БОЛЫСБЕК Д.А.1,2 1Казахский Национальный исследовательский технический университет имени К.

Results

Conclusion