Mathematical Models and Methods in Applied Sciences · 1999 · 49 citations · 4 references
EngineeringMechanical EngineeringComputational Fluid DynamicsComputational MechanicsFluid DynamicsBoundary ConditionsBoundary Layer EffectsBoundary Layer FlowBoundary LayersBoundary-layer TheoryNavier-stokes EquationsBoundary-layer EquationsFlow Around CylindersStokes Boundary LayerStokes EquationsUnsteady Boundary Layers
The Stokes problem posed in tube structures (or finite rod structures (see Panasenko 10 )), i.e. in connected finite unions of the thin cylinders with the ratio of the diameter to the height of the order [Formula: see text], is considered. The asymptotic expansion of the solution is built and justified. Boundary layers are studied. Earlier the Navier–Stokes problem in one thin domain was considered by Nazarov. 8 The method of asymptotic partial decomposition of the domain (MAPDD) (see Panasenko 11 ) is applied and justified for the Stokes problem posed in a tube structures. This method reduces the initial Stokes problem to the Stokes problem in some small parts of the domain (where the boundary layers are "concentrated".)
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