Probabilistic computation of Poiseuille flow velocity fields

DOI10.1063/1.531044zbMath0841.76077OpenAlexW2054085624MaRDI QIDQ4871965

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Publication date: 8 April 1996

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

Full work available at URL: https://semanticscholar.org/paper/bd0f88a2021a2b9cd1e6d3305de27af397d8526c

zbMATH Keywords

random walkspath integral methodopen channelfirst-passage timesfractal cross-section

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Stokes and related (Oseen, etc.) flows (76D07) Path integrals in quantum mechanics (81S40)

Related Items (1)

Computation of Riesz \(\boldsymbol{\alpha }\)-Capacity \(\boldsymbol{\textrm{C}}_{\boldsymbol{\alpha}}\) of General Sets in \(\boldsymbol{\mathbb{R}}^{\boldsymbol{d}}\) Using Stable Random Walks

Cites Work

• Poiseuille flow through \(n\)-dimensional hypercircular and hyperelliptic cylinders
• On the torsional rigidity of multiply connected cross-sections
• Brownian motion in a wedge with oblique reflection
• End Correction for Slow Viscous Flow through Long Tubes
• Circle supports the largest sandpile
• Slow viscous flow due to motion of an annular disk; pressure-driven extrusion through an annular hole in a wall
• Heat transfer for the flow through a pipe
• Rigorous link between fluid permeability, electrical conductivity, and relaxation times for transport in porous media
• Self-formed straight rivers with equilibrium banks and mobile bed. Part 1. The sand-silt river
• Taylor dispersion in porous media. Determination of the dispersion tensor
• Two- and three-dimensional models for flow through a junction
• Can one ‘‘hear’’ the thermodynamics of a (rough) colloid?
• The Effective Resistance of Passive Networks
• The Torsional Rigidity and Variational Methods
• Two-dimensional Brownian motion and harmonic functions
• The Solution of Torsion Problems by Numerical Integration of Poisson's Equation

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