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Abel inversion of deflectometric measurements in dynamic flows
A K Agrawal1, B W Albers, D W Griffin
1School of Aerospace and Mechanical Engineering, University of Oklahoma, Norman, Oklahoma 73019, USA. aagrawal@ou.edu
We developed an Abel-inversion algorithm to reconstruct refractive index profiles from beam deflection data in time-dependent flows. Accurate reconstruction of root-mean-square refractive index requires simultaneous multipoint measurements.
Area of Science:
- Fluid dynamics
- Optical diagnostics
- Tomography
Background:
- Refractive index profiles are crucial for understanding fluid dynamics.
- Previous methods struggled with time-dependent, axisymmetric flows.
- Accurate measurement of refractive index variations is challenging.
Purpose of the Study:
- To present a novel Abel-inversion algorithm for refractive index profile reconstruction.
- To validate the algorithm using an oscillating gas-jet diffusion flame.
- To determine the requirements for accurate reconstruction of time-dependent flows.
Main Methods:
- Developed an Abel-inversion algorithm.
- Utilized spatially resolved statistical measurements of beam-deflection angle.
- Employed a rainbow schlieren apparatus for whole-field data acquisition.
- Investigated an oscillating gas-jet diffusion flame as a test case.
Main Results:
- Successfully reconstructed mean and root-mean-square (rms) refractive index profiles.
- Demonstrated the algorithm's applicability to time-dependent, axisymmetric flows.
- Identified that simultaneous multipoint measurements are essential for accurate rms refractive index reconstruction.
Conclusions:
- The presented Abel-inversion algorithm enables accurate refractive index profiling.
- Simultaneous multipoint measurements are critical for capturing flow dynamics.
- The method is suitable for analyzing complex phenomena like diffusion flames.
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