Acoustofluidics 23: acoustic manipulation combined with other force fields

Acoustofluidics 7: The acoustic radiation force on small particles.

In this paper, Part 7 of the thematic tutorial series "Acoustofluidics-exploiting ultrasonic standing waves, forces and acoustic streaming in microfluidic systems for cell and particle manipulation", we present the theory of the acoustic radiation force; a second-order, time-averaged effect responsible for the acoustophoretic motion of suspended, micrometre-sized particles in an ultrasound field.

Force Fields in the Manipulation of Flexible

Assembly operations that involve exible parts differ greatly from rigid-part assembly due to the capacity of the parts to comply with motions of the manipu-lators by yielding to the contact forces. This natural compliance can be exploited in the design of tasks involving the manipulation of exible loads. Namely, using knowledge about the force vector eld generated by conservative restoring forc...

Acoustic Force Density Acting on Inhomogeneous Fluids in Acoustic Fields.

We present a theory for the acoustic force density acting on inhomogeneous fluids in acoustic fields on time scales that are slow compared to the acoustic oscillation period. The acoustic force density depends on gradients in the density and compressibility of the fluid. For microfluidic systems, the theory predicts a relocation of the inhomogeneities into stable field-dependent configurations,...

Forthcoming Lab on a Chip tutorial series on acoustofluidics: acoustofluidics-exploiting ultrasonic standing wave forces and acoustic streaming in microfluidic systems for cell and particle manipulation.

Septic Fields with Discriminant ±23

We classify septic number fields which are unramified outside of {∞, 2, 3} by a targeted Hunter search; there are exactly 10 such fields, all with Galois group S7. We also describe separate computations which strongly suggest that none of these fields come from specializing septic genus zero three-