Analytical solution for pulsatile viscous flow in a straight elliptic annulus and application to the motion of the cerebrospinal fluid

DOI10.1063/1.2988858zbMath1182.76299OpenAlexW1966179442MaRDI QIDQ5304162

Sumeet Gupta, Vartan Kurtcuoglu, Dimos Poulikakos

Publication date: 18 March 2010

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2988858

zbMATH Keywords

laminar flowNavier-Stokes equationsplastic flowfinite volume methodscomputational fluid dynamicspulsatile flowbiological fluid dynamics

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (4)

Transient Taylor-Dean flow in a composite annulus with porous walls partially filled with porous material ⋮ Buoyancy-modulated Lagrangian drift in wavy-walled vertical channels as a model problem to understand drug dispersion in the spinal canal ⋮ Steady streaming confined between three-dimensional wavy surfaces ⋮ Hydrodynamic effect of slip boundaries and exponentially decaying/growing time-dependent pressure gradient on Dean flow

Uses Software

• Algorithm 855
• Algorithm 861
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Cites Work

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• On a pulsatile flow of a two-phase viscous fluid in a tube of elliptic cross-section
• Finite element modeling of blood in arteries
• The group numerical analysis: On the computation of Mathieu functions
• Algorithm 861
• Upwind Second-Order Difference Schemes and Applications in Aerodynamic Flows
• The computation of eigenvalues and solutions of Mathieu's differential equation for noninteger order
• Algorithm 721: MTIEU1 and MTIEU2
• Algebraic methods to compute Mathieu functions
• A Complete Method for the Computations of Mathieu Characteristic Numbers of Integer Orders
• Numerical Evaluation of Continued Fractions

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