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Related Concept Videos

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Viscosity of Fluid

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Viscosity measures the resistance a fluid offers to flow and deformation. It results from internal friction between layers of fluid moving relative to one another. Dynamic viscosity, denoted by the Greek letter mu (μ), quantifies the force needed to move one fluid layer over another. For Newtonian fluids like water and air, the relationship between the shearing stress and the rate of shearing strain is linear, meaning their viscosity remains constant regardless of the applied stress.
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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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In a fluid at rest, the pressure at any point beneath the fluid surface depends solely on the depth, not on the container's shape or size. This principle, known as hydrostatic pressure, arises because, in stationary fluids, there is no acceleration, meaning the forces within the fluid balance out. Only vertical forces, caused by the weight of the fluid above, contribute to pressure changes with depth.
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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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In fluid mechanics, shear stresses arise from viscosity, which represents a fluid's internal resistance to deformation. For low-viscosity fluids, like water, these stresses are minimal, simplifying flow analysis by allowing the fluid to be treated as inviscid, or frictionless. In an inviscid fluid, shear stresses are absent, leaving only normal stresses, which act perpendicularly to fluid elements. Notably, pressure — defined as the negative of the normal stress — remains...
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Simulating structured fluids with tensorial viscoelasticity.

Carlos Floyd1, Suriyanarayanan Vaikuntanathan1, Aaron R Dinner1

  • 1Chicago Center for Theoretical Chemistry, University of Chicago, Chicago, Illinois 60637, USA.

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This study introduces a new simulation platform for viscoelastic fluids, improving accuracy by including microscopic fluid dynamics. The findings show how fluid structure and elasticity affect object movement, enhancing simulation realism.

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Area of Science:

  • Computational physics
  • Fluid dynamics
  • Materials science

Background:

  • Analytical solutions for driven elastic bodies in fluids are limited.
  • Existing numerical methods often neglect microscopic fluid details affecting viscoelastic forces.

Purpose of the Study:

  • To develop a simulation platform for viscoelastic media with tensorial elasticity.
  • To investigate the influence of microscopic fluid structure on viscoelastic restoring forces.

Main Methods:

  • Utilized the lattice Boltzmann algorithm.
  • Incorporated viscoelastic forces, elastic immersed objects, and a microscopic orientation field.
  • Coupled viscoelasticity with the orientation field for enhanced realism.

Main Results:

  • Characterized viscoelastic restoring force dependence on key parameters.
  • Observed non-monotonic force dependence on stress diffusion rate and object size.
  • Demonstrated force variation based on microscopic structure orientation relative to pulling direction.

Conclusions:

  • Accounting for stress diffusion and orientation fields improves viscoelastic simulation realism.
  • The developed platform offers a more accurate approach to modeling complex fluid-structure interactions.
  • Potential applications include advanced material design and biomechanical simulations.