Numerical modelling of rapid flow of granular material in a hopper

Tejchman, J.

Artykuł - szczegóły

Tytuł artykułu

Numerical modelling of rapid flow of granular material in a hopper

Autorzy

Tejchman J.

Wybrane pełne teksty z tego czasopisma

Identyfikatory

Warianty tytułu

Numeryczne modelowanie szybkiego przepływu materiału ziarnistego w leju silosowym

Języki publikacji

Abstrakty

Paper presents results on numerical modelling of rapid flow of granular material in a model silo with convergent walls. The calculations were performed using the finite element method based on the polar elsto-plastic constitutive relation by Műhlhaus. It differs from the conventional theory of plasticity by the presence of Cosserat rotations and couple stresses using a mean grain diameter as a characteristic length. The characteristic length causes that numerical results do not depend upon the mesh discretisation. The model tests on rapid silo flow of glass beads performed by Renner in a glass hopper with large wall inclination from the bottom were numerical and experimental results was obtained. In addition, the FE-calculations were performed for very rough walls. Advantages and limitations of the continuum approach for simulations of rapid silo flow were outlined.

Artykuł przedstawia wyniki numerycznego modelowania szybkiego przepływu materiału ziarnistego w modelu silosu ze ścianami zbieżnymi. Obliczenia zostały przeprowadzone za pomocą metody elementów skończonych wykorzystującej mikropolarne sprężystoplastyczne prawo konstytutywne Műhlhausa. Prawo to różni się od klasycznej teorii plastyczności obecnością obrotów Cosseratów, naprężeń momentowych oraz długości charakterystycznej w formie średniej średnicy ziaren. Obecność długości charakterystycznej sprawia, że wyniki numeryczne nie zależą od siatki elementów skończonych. Numerycznemu symulowaniu poddano doświadczenia modelowe szybkiego przepływu szklanych kulek, które zostały przeprowadzone przez Rennera w szklanym leju silosowym o bardzo dużym nachyleniu ścian do poziomu. W obliczeniach dla płaskiego stanu odkształceń uwzględniono siły bezwładności i liniowe tłumienie lepkie. Otrzymano dobrą zgodność między wynikami numerycznymi a doświadczalnymi. Dodatkowo wykonano obliczenia dla ścian bardzo szorstkich. Podkreślono zalety i wady modelu ośrodka ciągłego do symulowania szybkiego przepływu silosowego.

Słowa kluczowe

modelowanie numeryczne silos przepływ silosowy

Wydawca

Komitet Inżynierii Lądowej i Wodnej PAN
Politechnika Warszawska, Wydział Inżynierii Lądowej

Czasopismo

Archives of Civil Engineering

Rocznik

1998

Tom

Vol. 44, nr 4

Strony

443--473

Opis fizyczny

Bibliogr. 77 poz., il.

Twórcy

autor

Tejchman J.

Gdańsk University of Technology, Institute for Concrete Structures

Bibliografia

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