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Hagen-Poiseuille flow describes a viscous fluid's steady, incompressible flow through a cylindrical tube with a constant radius R. This flow profile is often applied to understand fluid transport in narrow channels, such as capillaries. It serves as a foundational example of laminar flow. In this model, cylindrical coordinates (r,θ,z) are used to describe the radial (r), angular (θ), and axial (z) dimensions within the tube. For Hagen-Poiseuille flow, the velocity profile is purely axial,...
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Video Experimental Relacionado

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Macro-Rheology Characterization of Gill Raker Mucus in the Silver Carp, Hypophthalmichthys molitrix
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Una ley constitutiva para los flujos granulares densos.

Pierre Jop1, Yoël Forterre, Olivier Pouliquen

  • 1IUSTI, CNRS UMR 6595, Université de Provence, 5 rue Enrico Fermi, 13453 Marseille cedex 13, France. Pierre.Jop@polytech.univ-mrs.fr

Nature
|June 9, 2006
PubMed
Resumen

Este estudio introduce un nuevo modelo visco-plástico para flujos granulares densos, prediciendo con precisión el comportamiento del flujo sin parámetros de ajuste. Esto ofrece un enfoque unificado para modelar peligros geofísicos y procesos industriales.

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Área de la Ciencia:

  • * Reología y Mecánica del Continuo.
  • * Dinámica de fluidos geofísica.
  • * Ciencias de los materiales.

Sus antecedentes:

  • * Se debaten las ecuaciones constitutivas para los flujos granulares secos, especialmente en el régimen denso intermedio.
  • * Los materiales granulares exhiben comportamientos sólidos, líquidos y gaseosos, lo que complica el modelado.
  • * Los modelos existentes abordan los flujos rápidos (teoría cinética) y lentos (mecánica del suelo), pero falta una visión unificada del flujo denso y líquido.

Objetivo del estudio:

  • * Proponer una nueva relación constitutiva para los flujos granulares densos.
  • * Para modelar líquidos granulares dibujando analogías con fluidos visco-plásticos.
  • * Para validar el modelo propuesto a través de datos experimentales en 3D.

Principales métodos:

  • * Desarrollo de una nueva relación constitutiva visco-plástica para flujos granulares densos.
  • * Investigación experimental de flujos granulares 3D en una pila con paredes laterales ásperas.
  • * Comparación cuantitativa de las predicciones del modelo con perfiles experimentales de forma de flujo y velocidad.

Principales resultados:

  • * El modelo visco-plástico propuesto predice con precisión la forma del flujo granular y los perfiles de velocidad.
  • * El modelo proporciona predicciones cuantitativas sin requerir ningún parámetro de ajuste.
  • * El estudio demuestra la efectividad de un enfoque visco-plástico para flujos granulares densos.

Conclusiones:

  • * Un marco visco-plástico simple puede capturar cuantitativamente las propiedades de los flujos granulares densos.
  • * El modelo desarrollado ofrece una herramienta unificada y predictiva para los fenómenos de flujo granular.
  • * Este enfoque tiene un potencial significativo para modelar flujos granulares geofísicos e industriales complejos.