Počet záznamů: 1

On Pressure Boundary Conditions for Steady Flows of Incompressible Fluids with Pressure and Shear Rate Dependent Viscosities

  1. 1.
    0331366 - UIVT-O 2012 RIV CZ eng J - Článek v odborném periodiku
    Lanzendörfer, Martin - Stebel, Jan
    On Pressure Boundary Conditions for Steady Flows of Incompressible Fluids with Pressure and Shear Rate Dependent Viscosities.
    Applications of Mathematics. Roč. 56, č. 3 (2011), s. 265-285 ISSN 0862-7940
    Grant CEP: GA MŠk LC06052
    Grant ostatní: GA ČR(CZ) GA201/06/0352
    Výzkumný záměr: CEZ:AV0Z10300504; CEZ:AV0Z10190503
    Klíčová slova: existence * weak solutions * incompressible fluids * non-Newtonian fluids * pressure dependent viscosity * shear dependent viscosity * inflow/outflow boundary conditions * pressure boundary conditions * filtration boundary conditions
    Kód oboru RIV: BK - Mechanika tekutin
    Impakt faktor: 0.480, rok: 2011
    http://dml.cz/handle/10338.dmlcz/141486

    We consider a class of incompressible fluids whose viscosities depend on the pressure and the shear rate. Suitable boundary conditions on the traction at the in- flow/outflow part of boundary are given. As an advantage of this, the mean value of the pressure over the domain is no more a free parameter which would have to be prescribed otherwise. We prove the existence and uniqueness of weak solutions (the latter for small data) and discuss particular applications of the results.
    Trvalý link: http://hdl.handle.net/11104/0176899
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