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Related Concept Videos

Newtonian Fluid: Problem Solving01:18

Newtonian Fluid: Problem Solving

Newtonian fluids exhibit a constant viscosity, meaning their shear stress and shear strain rate are directly proportional. This property ensures a predictable and stable response to applied forces, maintaining a linear relationship between force and flow. Examples include water, air, and light oils, consistently demonstrating this proportional behavior regardless of external conditions.
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For incompressible Newtonian fluids, where density remains constant, stresses show a linear relationship with the deformation rate, defined by normal and shear stresses. Normal stresses depend on the pressure exerted on the fluid and the rate of deformation in specific directions, which determines how fluid flows under varying pressures. Shear stresses, on the other hand, act tangentially across fluid layers. They explain how adjacent fluid layers slide relative to one another, connecting...
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Experimental Measurement of Settling Velocity of Spherical Particles in Unconfined and Confined Surfactant-based Shear Thinning Viscoelastic Fluids
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Hydrodynamic interaction between two vesicles in a linear shear flow: asymptotic study.

P Y Gires1, G Danker, C Misbah

  • 1Univ Grenoble 1/CNRS, LIPhy UMR 5588, Grenoble F-38041, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 26, 2012
PubMed
Summary
This summary is machine-generated.

Hydrodynamic interactions between two vesicles in shear flow can cause repulsion or attraction. This study derives an interaction law, revealing that vesicle positioning dictates whether they move apart or together.

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Area of Science:

  • Fluid dynamics
  • Soft matter physics
  • Biophysics

Background:

  • Vesicle dynamics in flow are crucial for biological and synthetic systems.
  • Understanding inter-vesicle forces is key to predicting collective behavior.
  • Previous studies often simplified flow conditions or vesicle shapes.

Purpose of the Study:

  • To theoretically investigate hydrodynamic interactions between two vesicles in linear shear flow.
  • To derive an analytical expression for the inter-vesicle interaction law.
  • To analyze the conditions leading to attraction versus repulsion.

Main Methods:

  • Theoretical analysis of vesicle dynamics in a strong linear shear flow.
  • Approximation of almost spherical vesicles with large inter-vesicle distances.
  • Derivation of ordinary differential equations for vesicle motion.
  • Formulation of an analytical interaction law.

Main Results:

  • A system of ordinary equations describing vesicle dynamics was derived.
  • An analytical expression for the hydrodynamic interaction law was obtained.
  • Repulsion occurs when vesicles are in the same shear plane.
  • Attraction can occur when vesicles are in different shear planes.

Conclusions:

  • The derived interaction law accurately describes vesicle behavior in shear flow.
  • Vesicle positioning relative to the shear plane is a critical factor in their interaction.
  • The findings have implications for understanding microfluidic transport and cellular interactions.