Fluid flow through a helical pipe

DOI10.1007/s00033-006-0073-6zbMath1115.35099OpenAlexW2012083859MaRDI QIDQ867674

Eduard Marušić-Paloka, Igor Pažanin

Publication date: 16 February 2007

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-006-0073-6

zbMATH Keywords

weak solutionNavier-Stokes equationasymptotic analysiscurvilinear coordinatesNewtonian fluidhelical pipe

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items

Effective flow of incompressible micropolar fluid through a system of thin pipes ⋮ Asymptotic Analysis of a Viscous Flow in a Curved Pipe with Elastic Walls ⋮ Rigorous derivation of the effective model describing a non-isothermal fluid flow in a vertical pipe filled with porous medium ⋮ Asymptotic analysis of the curved-pipe flow with a pressure-dependent viscosity satisfying Barus law ⋮ On the effects of curved geometry on heat conduction through a distorted pipe ⋮ Effects of boundary roughness and inertia on the fluid flow through a corrugated pipe and the formula for the Darcy-Weisbach friction coefficient ⋮ On the filtration of micropolar fluid through a thin pipe ⋮ Rigorous justification of the asymptotic model describing a curved‐pipe flow in a time‐dependent domain ⋮ A new thin layer model for viscous flow between two nearby non‐static surfaces ⋮ On reactive solute transport through a curved pipe ⋮ Asymptotic behavior of micropolar fluid flow through a curved pipe ⋮ Modeling of solute dispersion in a circular pipe filled with micropolar fluid ⋮ Asymptotic analysis of a thin fluid layer flow between two moving surfaces ⋮ Effective flow of micropolar fluid through a thin or long pipe ⋮ Modelling of heat transfer in a laminar flow through a helical pipe ⋮ Non-isothermal fluid flow through a thin pipe with cooling ⋮ Asymptotic solution for the Darcy-Brinkman-Boussinesq flow in a pipe with helicoidal shape ⋮ On the solvability of a problem of stationary fluid flow in a helical pipe