FIG 7 - uploaded by Shigeyuki Komura
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Sketch of the circular curve, C d , and the unspecified curve, Cu, with the accompanying unknown force distribution, f , while A is the fluid area bounded by both C d and Cu (white area). The curves, C d and Cu, are parameterized by the vectors R and R ′ , respectively and the two arrows represent the direction of the line integral. In the sketch, we have |R ′ | > |R| only for presentation purposes. In actual calculations where the condition |R ′ | ≪ |R| is used, the two curves overlap with each other.

Sketch of the circular curve, C d , and the unspecified curve, Cu, with the accompanying unknown force distribution, f , while A is the fluid area bounded by both C d and Cu (white area). The curves, C d and Cu, are parameterized by the vectors R and R ′ , respectively and the two arrows represent the direction of the line integral. In the sketch, we have |R ′ | > |R| only for presentation purposes. In actual calculations where the condition |R ′ | ≪ |R| is used, the two curves overlap with each other.

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We discuss the linear hydrodynamic response of a two-dimensional active chiral compressible fluid with odd viscosity. The viscosity coefficient represents broken time-reversal and parity symmetries in the 2D fluid and characterizes the deviation of the system from a passive fluid. Taking into account the hydrodynamic coupling to the underlying bulk...

Contexts in source publication

Context 1
... C d is the circular curve bounding the moving disk, as schematically depicted in Fig. 7. The notations, ds(R) and dA(R), indicate that R is the integration variable. Assuming a non-slip boundary condition at the disk perimeter and using the form of the point-force ...
Context 2
... C d is the circular curve bounding the moving disk, as schematically depicted in Fig. 7. The notations, ds(R) and dA(R), indicate that R is the integration variable. Assuming a non-slip boundary condition at the disk perimeter and using the form of the point-force ...

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