Parabolic turbulence k-epsilon model with applications in fluid flows through permeable media

• Autorzy: Oliveira Hermenegildo Borges de

Identyfikatory

DOI

10.7494/OpMath.2024.44.2.197

• Języki publikacji: EN

Abstrakty

EN

In this work, we study a one-equation turbulence k-epsilon model that governs fluid flows through permeable media. The model problem under consideration here is derived from the incompressible Navier-Stokes equations by the application of a time-averaging operator used in the k-epsilon modeling and a volume-averaging operator that is characteristic of modeling unsteady porous media flows. For the associated initial- and boundary-value problem, we prove the existence of suitable weak solutions (average velocity field and turbulent kinetic energy) in the space dimensions of physics interest.

Słowa kluczowe

EN

turbulence; k-epsilon modeling; permeable media; existence

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2024
• Tom: Vol. 44, no. 2
• Strony: 197--240
• Opis fizyczny: Bibliogr. 33 poz.

Twórcy

autor

Oliveira Hermenegildo Borges de

• FCT - Universidade do Algarve, Faro, Portugal
• CMAFcIO - Universidade de Lisboa, Portugal

• https://orcid.org/0000-0001-9053-8442

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)