Flow behavior in complex three-dimensional (3D) microscale domains is the key in the development of microcirculatory pathologies and the design of 3D microfluidics. While numerical simulations are common practice for the derivation of velocity fields in such domains, they are limited to known geometries. Current experimental methods such as micron-scale particle tracing comprise of intricate algorithmic approaches for the accurate tracing of numerous particles in a dense moving liquid suspension and are fundamentally limited in resolution to the finite size of the interrogated steps. Here, we introduce 3D streamlines image velocimetry (3D-SIV), a method to derive fluid velocity fields in arbitrary resolution for fully developed laminar flow in 3D geometries. Our approach utilizes 3D geometrical fitting and superimposed Delaunay triangulation to reconstruct streamtubes and to trace their volumetric changes. Our algorithm has applications in out-of-plane velocimetries, which we demonstrate in a 3D dilated curved geometry and in an ascending aorta. The 3D-SIV can be applied for high-resolution derivation of velocity fields in microcirculatory pathologies and to 3D microfluidic circuits, extending the potential of out-of-plane velocimetries to complex geometries and arbitrary resolution.
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Development of Three-Dimensional Streamline
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January 2016
Research-Article
Development of Three-Dimensional Streamline
Image Velocimetry Using Superimposed Delaunay Triangulation and Geometrical Fitting
Elishai Ezra,
Elishai Ezra
Grass Center for Bioengineering,
The Hebrew University of Jerusalem,
Edmond J. Safra Campus,
Jerusalem 91904, Israel
The Hebrew University of Jerusalem,
Edmond J. Safra Campus,
Jerusalem 91904, Israel
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Eliezer Keinan,
Eliezer Keinan
Grass Center for Bioengineering,
The Hebrew University of Jerusalem,
Edmond J. Safra Campus,
Jerusalem 91904, Israel
The Hebrew University of Jerusalem,
Edmond J. Safra Campus,
Jerusalem 91904, Israel
Search for other works by this author on:
Alex Liberzon,
Alex Liberzon
School of Mechanical Engineering,
Tel-Aviv University,
Tel-Aviv 69978, Israel
Tel-Aviv University,
Tel-Aviv 69978, Israel
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Yaakov Nahmias
Yaakov Nahmias
Department of Cell and Developmental Biology,
Grass Center for Bioengineering,
The Hebrew University of Jerusalem,
Edmond J. Safra Campus,
Jerusalem 91904, Israel
e-mail: ynahmias@cs.huji.ac.il
Grass Center for Bioengineering,
The Hebrew University of Jerusalem,
Edmond J. Safra Campus,
Jerusalem 91904, Israel
e-mail: ynahmias@cs.huji.ac.il
Search for other works by this author on:
Elishai Ezra
Grass Center for Bioengineering,
The Hebrew University of Jerusalem,
Edmond J. Safra Campus,
Jerusalem 91904, Israel
The Hebrew University of Jerusalem,
Edmond J. Safra Campus,
Jerusalem 91904, Israel
Eliezer Keinan
Grass Center for Bioengineering,
The Hebrew University of Jerusalem,
Edmond J. Safra Campus,
Jerusalem 91904, Israel
The Hebrew University of Jerusalem,
Edmond J. Safra Campus,
Jerusalem 91904, Israel
Alex Liberzon
School of Mechanical Engineering,
Tel-Aviv University,
Tel-Aviv 69978, Israel
Tel-Aviv University,
Tel-Aviv 69978, Israel
Yaakov Nahmias
Department of Cell and Developmental Biology,
Grass Center for Bioengineering,
The Hebrew University of Jerusalem,
Edmond J. Safra Campus,
Jerusalem 91904, Israel
e-mail: ynahmias@cs.huji.ac.il
Grass Center for Bioengineering,
The Hebrew University of Jerusalem,
Edmond J. Safra Campus,
Jerusalem 91904, Israel
e-mail: ynahmias@cs.huji.ac.il
1Corresponding author.
Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received March 26, 2015; final manuscript received August 30, 2015; published online October 23, 2015. Assoc. Editor: Prashanta Dutta.
J. Fluids Eng. Jan 2016, 138(1): 011205 (7 pages)
Published Online: October 23, 2015
Article history
Received:
March 26, 2015
Revised:
August 30, 2015
Citation
Ezra, E., Keinan, E., Liberzon, A., and Nahmias, Y. (October 23, 2015). "Development of Three-Dimensional Streamline
Image Velocimetry Using Superimposed Delaunay Triangulation and Geometrical Fitting." ASME. J. Fluids Eng. January 2016; 138(1): 011205. https://doi.org/10.1115/1.4031611
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