Extinction cross section of an arbitrary body in a viscous incompressible fluid

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

When analyzing time-dependent Stokesian flow around an arbitrary body in terms of time-harmonic phasors, analytic techniques commonly used for frequency-domain scattering can be brought to bear. A common measure of the scattering response of a body is the extinction cross section. However, as the wave number for a Stokesian flow is necessarily complex, the usual interpretation of the extinction cross section is untenable for this problem. It is shown here that a detector-based interpretation of the extinction cross section is unambiguous and experimentally relevant. An almost exact formula is derived for the extinction cross section for flow around an arbitrary body. Computed values for the cross section are presented for a spherical body using two different boundary condition cases: pure stick (i.e., no slip) and pure slip.

Original languageEnglish (US)
Pages (from-to)1857-1865
Number of pages9
JournalPhysical Review E
Volume52
Issue number2
DOIs
StatePublished - Jan 1 1995

Fingerprint

incompressible fluids
Viscous Fluid
Incompressible Fluid
Extinction
extinction
Cross section
cross sections
Arbitrary
Slip
slip
Scattering
bears
scattering
Frequency Domain
Harmonic
Detector
boundary conditions
harmonics
Boundary conditions
detectors

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

Cite this

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title = "Extinction cross section of an arbitrary body in a viscous incompressible fluid",
abstract = "When analyzing time-dependent Stokesian flow around an arbitrary body in terms of time-harmonic phasors, analytic techniques commonly used for frequency-domain scattering can be brought to bear. A common measure of the scattering response of a body is the extinction cross section. However, as the wave number for a Stokesian flow is necessarily complex, the usual interpretation of the extinction cross section is untenable for this problem. It is shown here that a detector-based interpretation of the extinction cross section is unambiguous and experimentally relevant. An almost exact formula is derived for the extinction cross section for flow around an arbitrary body. Computed values for the cross section are presented for a spherical body using two different boundary condition cases: pure stick (i.e., no slip) and pure slip.",
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Extinction cross section of an arbitrary body in a viscous incompressible fluid. / Wymer, Scott A.; Lakhtakia, Akhlesh; Engel, Renata S.

In: Physical Review E, Vol. 52, No. 2, 01.01.1995, p. 1857-1865.

Research output: Contribution to journalArticle

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T1 - Extinction cross section of an arbitrary body in a viscous incompressible fluid

AU - Wymer, Scott A.

AU - Lakhtakia, Akhlesh

AU - Engel, Renata S.

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AB - When analyzing time-dependent Stokesian flow around an arbitrary body in terms of time-harmonic phasors, analytic techniques commonly used for frequency-domain scattering can be brought to bear. A common measure of the scattering response of a body is the extinction cross section. However, as the wave number for a Stokesian flow is necessarily complex, the usual interpretation of the extinction cross section is untenable for this problem. It is shown here that a detector-based interpretation of the extinction cross section is unambiguous and experimentally relevant. An almost exact formula is derived for the extinction cross section for flow around an arbitrary body. Computed values for the cross section are presented for a spherical body using two different boundary condition cases: pure stick (i.e., no slip) and pure slip.

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