Search results for "Generalized Newtonian fluid"

showing 2 items of 2 documents

On strong solutions of the differential equations modeling the steady flow of certain incompressible generalized Newtonian fluids

2007

In this paper we discuss a system of partial differential equations describing the steady flow of an incompressible fluid and prove the existence of a strong solution under suitable assumptions on the data. In the 2D-case this solution turns out to be of class C^{1,\alpha}.

Algebra and Number TheoryPartial differential equationDifferential equationApplied MathematicsMathematical analysis510Physics::Fluid DynamicsStrong solutionsGeneralized Newtonian fluidFlow (mathematics)CompressibilityNewtonian fluidAnalysisMathematicsSt. Petersburg Mathematical Journal
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On the existence of weak solution to the coupled fluid-structure interaction problem for non-Newtonian shear-dependent fluid

2016

We study the existence of weak solution for unsteady fluid-structure interaction problem for shear-thickening flow. The time dependent domain has at one part a flexible elastic wall. The evolution of fluid domain is governed by the generalized string equation with action of the fluid forces. The power-law viscosity model is applied to describe shear-dependent non-Newtonian fluids.

Dilatant35D30General MathematicsConstant Viscosity Elastic (Boger) Fluidsfluid-structure interactionhemodynamics01 natural sciencesexistence of weak solutionPhysics::Fluid Dynamics76A0576D03Fluid–structure interactionshear-thinning fluids0101 mathematicsMathematicsWeak solution010102 general mathematicsMechanicsnon-Newtonian fluidsNon-Newtonian fluid010101 applied mathematicsShear rateCondensed Matter::Soft Condensed Matter74F10Shear (geology)Generalized Newtonian fluidshear-thickening fluids35Q30
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