Point-matching method for examining time-dependent Stokesian flow around a stationary axisymmetric body

Research output: Contribution to journalArticle

Abstract

We recast the time-dependent Stokesian flow about an axisymmetric body as a scattering problem, and solve the resulting boundary value problem using the point-matching method (PMM). The fluid is modeled to be viscous and incompressible. The velocity and pressure fields from the resulting linearized equations are cast as phasors in the frequency domain, and are broken up into incident and scattered components which are expressed in terms of spherical harmonic functions. For the numerical results presented, the incident velocity phasor is assumed to be a transverse plane wave progressing parallel to the symmetry axis of the body, and the PMM is applied to determine the scattered pressure and velocity phasors. Numerical results are shown for spheroids whose aspect ratios vary between 2/3 and 3/2. Two different boundary condition cases are tackled: pure stick (i.e., no-slip) and pure slip. The extinction efficiency, a measure of the change in energy due to the presence of the scattering body, is also computed.

Original languageEnglish (US)
Pages (from-to)91-114
Number of pages24
JournalFluid Dynamics Research
Volume19
Issue number2
DOIs
StatePublished - Feb 1 1997

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axisymmetric bodies
boundary value problems
slip
Scattering
Harmonic functions
harmonic functions
spheroids
spherical harmonics
scattering
pressure distribution
Boundary value problems
aspect ratio
casts
Aspect ratio
extinction
plane waves
velocity distribution
Boundary conditions
boundary conditions
Fluids

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes

Cite this

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title = "Point-matching method for examining time-dependent Stokesian flow around a stationary axisymmetric body",
abstract = "We recast the time-dependent Stokesian flow about an axisymmetric body as a scattering problem, and solve the resulting boundary value problem using the point-matching method (PMM). The fluid is modeled to be viscous and incompressible. The velocity and pressure fields from the resulting linearized equations are cast as phasors in the frequency domain, and are broken up into incident and scattered components which are expressed in terms of spherical harmonic functions. For the numerical results presented, the incident velocity phasor is assumed to be a transverse plane wave progressing parallel to the symmetry axis of the body, and the PMM is applied to determine the scattered pressure and velocity phasors. Numerical results are shown for spheroids whose aspect ratios vary between 2/3 and 3/2. Two different boundary condition cases are tackled: pure stick (i.e., no-slip) and pure slip. The extinction efficiency, a measure of the change in energy due to the presence of the scattering body, is also computed.",
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Point-matching method for examining time-dependent Stokesian flow around a stationary axisymmetric body. / Wymer, Scott A.; Engel, Renata S.; Lakhtakia, Akhlesh.

In: Fluid Dynamics Research, Vol. 19, No. 2, 01.02.1997, p. 91-114.

Research output: Contribution to journalArticle

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