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Lift force in odd compressible fluids.

Ruben Lier1,2,3,4, Charlie Duclut1,5,6, Stefano Bo1,7

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This summary is machine-generated.

Odd viscous fluids can generate an odd lift force on particles, unlike previously thought. This occurs in compressible odd fluids by considering mass density nonconservation, revealing new fluid dynamics insights.

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Area of Science:

  • Fluid dynamics
  • Non-Newtonian fluid mechanics
  • Theoretical physics

Background:

  • Odd viscous fluids exhibit unique properties, breaking parity and time-reversal symmetry.
  • Previous studies indicated incompressible odd fluids do not generate lift force on tracer particles with no-slip conditions.
  • Signatures of odd viscosity in 2D bulk fluids remained elusive due to these limitations.

Purpose of the Study:

  • To investigate the conditions under which odd viscous fluids can generate an odd lift force.
  • To explore the role of compressibility and mass density nonconservation in odd fluid dynamics.
  • To derive analytical expressions for forces acting on tracer particles in odd fluids.

Main Methods:

  • Computation of the response matrix for a tracer particle in an odd fluid.
  • Application of shell localization techniques.
  • Analysis of fluid behavior at vanishing Reynolds numbers and steady state, as well as at finite frequencies.

Main Results:

  • An odd compressible fluid can produce an odd lift force on a tracer particle.
  • Analytic expressions for drag and odd lift forces were derived.
  • Steady-state odd lift force requires accounting for nonconservation of fluid mass density due to surface-bulk coupling.

Conclusions:

  • Odd lift forces are achievable in compressible odd fluids, contrary to previous findings for incompressible fluids.
  • The coupling between 2D surfaces and 3D bulk fluids, leading to mass density nonconservation, is crucial for observing steady-state odd lift forces.
  • This work opens new avenues for detecting and understanding the effects of odd viscosity in fluid systems.