A new method to calculate unsteady particle kinematics and drag coefficient in a subsonic post-shock flow

Ankur D. Bordoloi, Liuyang Ding, Adam A. Martinez, Katherine Prestridge, Ronald Adrian

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We introduce a new method (piecewise integrated dynamics equation fit, PIDEF) that uses the particle dynamics equation to determine unsteady kinematics and drag coefficient (C D) for a particle in subsonic post-shock flow. The uncertainty of this method is assessed based on simulated trajectories for both quasi-steady and unsteady flow conditions. Traditional piecewise polynomial fitting (PPF) shows high sensitivity to measurement error and the function used to describe C D, creating high levels of relative error (≫1) when applied to unsteady shock-accelerated flows. The PIDEF method provides reduced uncertainty in calculations of unsteady acceleration and drag coefficient for both quasi-steady and unsteady flows. This makes PIDEF a preferable method over PPF for complex flows where the temporal response of C D is unknown. We apply PIDEF to experimental measurements of particle trajectories from 8-pulse particle tracking and determine the effect of incident Mach number on relaxation kinematics and drag coefficient of micron-sized particles.

Original languageEnglish (US)
Article number074001
JournalMeasurement Science and Technology
Volume29
Issue number7
DOIs
StatePublished - May 17 2018

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Drag Coefficient
drag coefficients
Drag coefficient
Dynamic Equation
Shock
Kinematics
kinematics
shock
Calculate
coefficients
unsteady flow
Piecewise Polynomials
steady flow
Steady flow
Unsteady Flow
Unsteady flow
Steady Flow
polynomials
Trajectories
Polynomials

Keywords

  • kinematics measurement
  • particle tracking accelerometry
  • shock-particle interaction
  • unsteady drag

ASJC Scopus subject areas

  • Instrumentation
  • Engineering (miscellaneous)
  • Applied Mathematics

Cite this

A new method to calculate unsteady particle kinematics and drag coefficient in a subsonic post-shock flow. / Bordoloi, Ankur D.; Ding, Liuyang; Martinez, Adam A.; Prestridge, Katherine; Adrian, Ronald.

In: Measurement Science and Technology, Vol. 29, No. 7, 074001, 17.05.2018.

Research output: Contribution to journalArticle

Bordoloi, Ankur D. ; Ding, Liuyang ; Martinez, Adam A. ; Prestridge, Katherine ; Adrian, Ronald. / A new method to calculate unsteady particle kinematics and drag coefficient in a subsonic post-shock flow. In: Measurement Science and Technology. 2018 ; Vol. 29, No. 7.
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