Nonstationary Poiseuille-type solutions for the second-grade fluid flow

DOI10.1007/s10986-012-9164-6zbMath1279.35009OpenAlexW2021894446MaRDI QIDQ393005

Neringa Klovienė, Konstantinas Pileckas

Publication date: 15 January 2014

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-012-9164-6

zbMATH Keywords

channel and pipe flowsnonstationary Poiseuille-type solutionssecond-grade fluids

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Boundary value problems for systems of linear higher-order PDEs (35G45)

Related Items (5)

Steady state non-Newtonian flow with strain rate dependent viscosity in thin tube structure with no slip boundary condition ⋮ Non-Newtonian flows in domains with non-compact boundaries ⋮ On the Steady Non-Newtonian Fluids in Domains with Noncompact Boundaries ⋮ Nonstationary Poiseuille flow of a non-Newtonian fluid with the shear rate-dependent viscosity ⋮ Steady state non-Newtonian flow with strain rate dependent viscosity in domains with cylindrical outlets to infinity

Cites Work

• Existence of solutions with the prescribed flux of the Navier-Stokes system in an infinite cylinder
• Anomalous features in the model of second order fluids
• Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade
• Existence and uniqueness of classical solutions of the equations of motion for second-grade fluids
• Weak and classical solutions of a family of second grade fluids
• Steady flows of viscoelastic fluids in domains with outlets to infinity
• Further existence results for classical solutions of the equations of a second-grade fluid
• Existence and uniqueness of classical solutions for a class of complexity-2 fluids
• On the unsteady Poiseuille flow in a pipe
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