Search results for "No-slip condition"

showing 3 items of 3 documents

Porous medium equation with absorption and a nonlinear boundary condition

2002

where is a bounded domain with smooth boundary, @=@ is the outer normal derivative, m ? 1; p; and q are positive parameters and u0 is in L∞( ). Problems of this form arise in mathematical models in a number of areas of science, for instance, in models for gas or :uid :ow in porous media [3] and for the spread of certain biological populations [13]. In the semilinear case (that is for m=1), there is an extensive literature about global existence and blow-up results for this type of problems, see among others, [5,9,16] and the literature therein. For the degenerate case (that is for m = 1), with a nonlinear boundary condition, local existence and uniqueness of weak solutions which are limit o…

Applied MathematicsMathematical analysisNeumann boundary conditionFree boundary problemNo-slip conditionBoundary (topology)UniquenessBoundary value problemAnalysisRobin boundary conditionPoincaré–Steklov operatorMathematicsNonlinear Analysis: Theory, Methods & Applications
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Lattice Boltzmann simulations in microfluidics: probing the no-slip boundary condition in hydrophobic, rough, and surface nanobubble laden microchann…

2009

In this contribution we review recent efforts on investigations of the effect of (apparent) boundary slip by utilizing lattice Boltzmann simulations. We demonstrate the applicability of the method to treat fundamental questions in microfluidics by investigating fluid flow in hydrophobic and rough microchannels as well as over surfaces covered by nano- or microscale gas bubbles.

Materials scienceMicrofluidicsLattice Boltzmann methodsFluid Dynamics (physics.flu-dyn)FOS: Physical sciencesSlip (materials science)MechanicsPhysics - Fluid DynamicsCondensed Matter - Soft Condensed MatterCondensed Matter PhysicsElectronic Optical and Magnetic MaterialsPhysics::Fluid DynamicsNano-Fluid dynamicsNo-slip conditionMaterials ChemistrySoft Condensed Matter (cond-mat.soft)Microscale chemistryMicrofluidics and Nanofluidics
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Implementation Aspects of 3D Lattice-BGK: Boundaries, Accuracy, and a New Fast Relaxation Method

1999

In many realistic fluid-dynamical simulations the specification of the boundary conditions, the error sources, and the number of time steps to reach a steady state are important practical considerations. In this paper we study these issues in the case of the lattice-BGK model. The objective is to present a comprehensive overview of some pitfalls and shortcomings of the lattice-BGK method and to introduce some new ideas useful in practical simulations. We begin with an evaluation of the widely used bounce-back boundary condition in staircase geometries by simulating flow in an inclined tube. It is shown that the bounce-back scheme is first-order accurate in space when the location of the non…

Numerical AnalysisPhysics and Astronomy (miscellaneous)Iterative methodApplied MathematicsMathematical analysisReynolds numberGeometryDifferent types of boundary conditions in fluid dynamicsBoundary layer thicknessComputer Science ApplicationsPhysics::Fluid DynamicsComputational MathematicsBoundary conditions in CFDsymbols.namesakeModeling and SimulationFluid dynamicssymbolsNo-slip conditionBoundary value problemMathematics
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