Abstract

Quantitative application of digital in-line holography (DIH) to characterize multiphase fragmentation is demonstrated. DIH is applied to record sequential holograms of the breakup of an ethanol droplet in an aerodynamic flow field. Various stages of the breakup process are recorded, including deformation, bag growth, bag breakup, and rim breakup. A recently proposed hybrid method is applied to extract the three-dimensional (3D) location and size of secondary droplets as well as the 3D morphology of the rim. Particle matching between sequential frames is used to determine the velocity. Coincidence with the results obtained from phase Doppler anemometry measurement demonstrates the accuracy of measurement by DIH and the hybrid method.

© 2013 Optical Society of America

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References

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2012 (2)

J. Lu, R. Shaw, and W. Yang, Opt. Express 20, 12666 (2012).
[CrossRef]

A. Flock, D. Guildenbecher, J. Chen, P. Sojka, and H. Bauer, Int. J. Multiphase Flow 47, 37 (2012).
[CrossRef]

2011 (2)

Y. Yang and B. Kang, Opt. Lasers Eng. 49, 1254 (2011).
[CrossRef]

T. Theofanous, Annu. Rev. Fluid Mech. 43, 661 (2011).
[CrossRef]

2010 (2)

K. Yassien, M. Agour, C. von Kopylow, and H. El-Dessouky, Opt. Lasers Eng. 48, 555 (2010).
[CrossRef]

G. Nehmetallah and P. Banerjee, Proc. SPIE 7851, 78510I (2010).

2009 (1)

D. Guildenbecher, C. López-Rivera, and P. Sojka, Exp. Fluids 46, 371 (2009).
[CrossRef]

2007 (1)

1998 (1)

W. Chou and G. Faeth, Int. J. Multiphase Flow 24, 889 (1998).
[CrossRef]

1996 (1)

S. Baek and S. Lee, Exp. Fluids 22, 23 (1996).
[CrossRef]

1994 (1)

Agour, M.

K. Yassien, M. Agour, C. von Kopylow, and H. El-Dessouky, Opt. Lasers Eng. 48, 555 (2010).
[CrossRef]

Baek, S.

S. Baek and S. Lee, Exp. Fluids 22, 23 (1996).
[CrossRef]

Banerjee, P.

G. Nehmetallah and P. Banerjee, Proc. SPIE 7851, 78510I (2010).

Bauer, H.

A. Flock, D. Guildenbecher, J. Chen, P. Sojka, and H. Bauer, Int. J. Multiphase Flow 47, 37 (2012).
[CrossRef]

Chen, J.

A. Flock, D. Guildenbecher, J. Chen, P. Sojka, and H. Bauer, Int. J. Multiphase Flow 47, 37 (2012).
[CrossRef]

D. Guildenbecher, J. Gao, P. Reu, and J. Chen, “Digital holography simulations and experiments to quantify the accuracy of 3D particle location and 2D sizing using a proposed hybrid method,” Appl. Opt. (to be published).

Chou, W.

W. Chou and G. Faeth, Int. J. Multiphase Flow 24, 889 (1998).
[CrossRef]

Denis, L.

El-Dessouky, H.

K. Yassien, M. Agour, C. von Kopylow, and H. El-Dessouky, Opt. Lasers Eng. 48, 555 (2010).
[CrossRef]

Faeth, G.

W. Chou and G. Faeth, Int. J. Multiphase Flow 24, 889 (1998).
[CrossRef]

Flock, A.

A. Flock, D. Guildenbecher, J. Chen, P. Sojka, and H. Bauer, Int. J. Multiphase Flow 47, 37 (2012).
[CrossRef]

Fournier, C.

Gao, J.

D. Guildenbecher, J. Gao, P. Reu, and J. Chen, “Digital holography simulations and experiments to quantify the accuracy of 3D particle location and 2D sizing using a proposed hybrid method,” Appl. Opt. (to be published).

Goepfert, C.

Goodman, J.

J. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1996), pp. 55–61.

Guildenbecher, D.

A. Flock, D. Guildenbecher, J. Chen, P. Sojka, and H. Bauer, Int. J. Multiphase Flow 47, 37 (2012).
[CrossRef]

D. Guildenbecher, C. López-Rivera, and P. Sojka, Exp. Fluids 46, 371 (2009).
[CrossRef]

D. Guildenbecher, J. Gao, P. Reu, and J. Chen, “Digital holography simulations and experiments to quantify the accuracy of 3D particle location and 2D sizing using a proposed hybrid method,” Appl. Opt. (to be published).

Jüptner, W.

Kang, B.

Y. Yang and B. Kang, Opt. Lasers Eng. 49, 1254 (2011).
[CrossRef]

Lee, S.

S. Baek and S. Lee, Exp. Fluids 22, 23 (1996).
[CrossRef]

López-Rivera, C.

D. Guildenbecher, C. López-Rivera, and P. Sojka, Exp. Fluids 46, 371 (2009).
[CrossRef]

Lu, J.

Nehmetallah, G.

G. Nehmetallah and P. Banerjee, Proc. SPIE 7851, 78510I (2010).

Reu, P.

D. Guildenbecher, J. Gao, P. Reu, and J. Chen, “Digital holography simulations and experiments to quantify the accuracy of 3D particle location and 2D sizing using a proposed hybrid method,” Appl. Opt. (to be published).

Schnars, U.

Shaw, R.

Sojka, P.

A. Flock, D. Guildenbecher, J. Chen, P. Sojka, and H. Bauer, Int. J. Multiphase Flow 47, 37 (2012).
[CrossRef]

D. Guildenbecher, C. López-Rivera, and P. Sojka, Exp. Fluids 46, 371 (2009).
[CrossRef]

Soulez, F.

Theofanous, T.

T. Theofanous, Annu. Rev. Fluid Mech. 43, 661 (2011).
[CrossRef]

Thiébaut, É.

von Kopylow, C.

K. Yassien, M. Agour, C. von Kopylow, and H. El-Dessouky, Opt. Lasers Eng. 48, 555 (2010).
[CrossRef]

Yang, W.

Yang, Y.

Y. Yang and B. Kang, Opt. Lasers Eng. 49, 1254 (2011).
[CrossRef]

Yassien, K.

K. Yassien, M. Agour, C. von Kopylow, and H. El-Dessouky, Opt. Lasers Eng. 48, 555 (2010).
[CrossRef]

Annu. Rev. Fluid Mech. (1)

T. Theofanous, Annu. Rev. Fluid Mech. 43, 661 (2011).
[CrossRef]

Appl. Opt. (1)

Exp. Fluids (2)

S. Baek and S. Lee, Exp. Fluids 22, 23 (1996).
[CrossRef]

D. Guildenbecher, C. López-Rivera, and P. Sojka, Exp. Fluids 46, 371 (2009).
[CrossRef]

Int. J. Multiphase Flow (2)

W. Chou and G. Faeth, Int. J. Multiphase Flow 24, 889 (1998).
[CrossRef]

A. Flock, D. Guildenbecher, J. Chen, P. Sojka, and H. Bauer, Int. J. Multiphase Flow 47, 37 (2012).
[CrossRef]

J. Opt. Soc. Am. A (1)

Opt. Express (1)

Opt. Lasers Eng. (2)

K. Yassien, M. Agour, C. von Kopylow, and H. El-Dessouky, Opt. Lasers Eng. 48, 555 (2010).
[CrossRef]

Y. Yang and B. Kang, Opt. Lasers Eng. 49, 1254 (2011).
[CrossRef]

Proc. SPIE (1)

G. Nehmetallah and P. Banerjee, Proc. SPIE 7851, 78510I (2010).

Other (2)

J. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1996), pp. 55–61.

D. Guildenbecher, J. Gao, P. Reu, and J. Chen, “Digital holography simulations and experiments to quantify the accuracy of 3D particle location and 2D sizing using a proposed hybrid method,” Appl. Opt. (to be published).

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Figures (5)

Fig. 1.
Fig. 1.

Double-exposure DIH configuration for characterizing drop fragmentation.

Fig. 2.
Fig. 2.

Illustration of the bag breakup process and the corresponding holograms. The scale bar is 4 mm.

Fig. 3.
Fig. 3.

3D representation of the measured morphology of the rim, drop spatial distribution, size, and velocity. Inset: cropped maximum Tenengrad map. D: diameter.

Fig. 4.
Fig. 4.

Droplet field in Fig. 3 viewed from the +x direction. Vy,rel and Vz,rel are the mean droplet velocities in each quadrant. Note that Vrel is the relative velocity with respect to the rim, i.e., Vrel=VdropVrim; different vector length scales are used for the individual particle velocities (black) and mean velocity (blue). Unit: m/s.

Fig. 5.
Fig. 5.

Size distribution measured by PDA and DIH.

Tables (1)

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Table 1. Comparison of Measured Mean Diameters (μm) and Velocities (m/s)

Equations (1)

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Er(k,l,zr)=F1{F{h(m,n)}exp(jkzr1(λmMΔξ)2(λnNΔη)2)},

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