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

0331366 - ÚI 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. E-ISSN 1572-9109
Grant CEP: GA MŠMT 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

Citováno: 12

--- POYIADJI, S. - HOUSIADAS, K.D. - KAOURI, K. - GEORGIOU, G.C. Asymptotic solutions of weakly compressible Newtonian Poiseuille flows with pressure-dependent viscosity. EUROPEAN JOURNAL OF MECHANICS B-FLUIDS. ISSN 0997-7546, JAN-FEB 2015, vol. 49, A, p. 217-225. [WOS]
--- HOUSIADAS, K.D. - GEORGIOU, G.C. - TANNER, R.I. A note on the unbounded creeping flow past a sphere for Newtonian fluids with pressure-dependent viscosity. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE. ISSN 0020-7225, JAN 2015, vol. 86, p. 1-9. [WOS]
--- HIRN, A. FINITE ELEMENT APPROXIMATION OF SINGULAR POWER-LAW SYSTEMS. MATHEMATICS OF COMPUTATION. ISSN 0025-5718, JUL 2013, vol. 82, no. 283, p. 1247-1268. [WOS]
--- NI, N.X. - YANG, Z.G. - DONG, S.C. Energy-stable boundary conditions based on a quadratic form: Applications to outflow/open-boundary problems in incompressible flows. JOURNAL OF COMPUTATIONAL PHYSICS. ISSN 0021-9991, AUG 15 2019, vol. 391, p. 179-215. [WOS]
--- MACHA, V. A short note on L (q) theory for Stokes problem with a pressure-dependent viscosity. CZECHOSLOVAK MATHEMATICAL JOURNAL. ISSN 0011-4642, JUN 2016, vol. 66, no. 2, p. 317-329. [WOS]
--- REHOR, M. - PRUSA, V. Squeeze flow of a piezoviscous fluid. APPLIED MATHEMATICS AND COMPUTATION. ISSN 0096-3003, FEB 1 2016, vol. 274, p. 414-429. [WOS]
--- DONG, S. A convective-like energy-stable open boundary condition for simulations of incompressible flows. JOURNAL OF COMPUTATIONAL PHYSICS. ISSN 0021-9991, DEC 1 2015, vol. 302, p. 300-328. [WOS]
--- BULICEK, M. - MALEK, J. - ZABENSKY, J. On generalized Stokes' and Brinkman's equations with a pressure- and shear-dependent viscosity and drag coefficient. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. ISSN 1468-1218, DEC 2015, vol. 26, p. 109-132. [WOS]
--- BULICEK, M. - ZABENSKY, J. Large data existence theory for unsteady flows of fluids with pressure- and shear-dependent viscosities. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. ISSN 0362-546X, NOV 2015, vol. 127, p. 94-127. [WOS]
--- HOUSIADAS, K.D. An exact analytical solution for viscoelastic fluids with pressure-dependent viscosity. JOURNAL OF NON-NEWTONIAN FLUID MECHANICS. ISSN 0377-0257, SEP 2015, vol. 223, p. 147-156. [WOS]
--- DONG, S. - SHEN, J. A pressure correction scheme for generalized form of energy-stable open boundary conditions for incompressible flows. JOURNAL OF COMPUTATIONAL PHYSICS. ISSN 0021-9991, JUN 15 2015, vol. 291, p. 254-278. [WOS]
--- HOUSIADAS, K.D. Internal viscoelastic flows for fluids with exponential type pressure-dependent viscosity and relaxation time. JOURNAL OF RHEOLOGY. ISSN 0148-6055, MAY 2015, vol. 59, no. 3, p. 769-791. [WOS]

Trvalý link: http://hdl.handle.net/11104/0176899