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Date of download: 10/2/2017 Copyright © ASME. All rights reserved.

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1 Date of download: 10/2/2017 Copyright © ASME. All rights reserved. From: Effects of Inertia and Gravity on Liquid Plug Splitting at a Bifurcation J Biomech Eng. 2006;128(5): doi: / Figure Legend: Schematic of the experimental setup. The roll angle, ϕ, and pitch angle, γ describe the orientation of the bifurcation plates with respect to gravity. The branch angle of the daughter tube with respect to the parent tube is indicated by θ. 0, 1, 2, 3, 4, and 5 indicate 6 IR sensors for the parent and two daughter tubes.

2 Date of download: 10/2/2017 Copyright © ASME. All rights reserved. From: Effects of Inertia and Gravity on Liquid Plug Splitting at a Bifurcation J Biomech Eng. 2006;128(5): doi: / Figure Legend: Rs versus Rep for γ=0deg and different ϕ using deionized distilled water. ϕ=15deg: ◆ (experiments),—(theory); ϕ=30deg: ∎ (experiments),---(theory); ϕ=60deg: ▴ (experiments), ⋯ (theory).

3 Date of download: 10/2/2017 Copyright © ASME. All rights reserved. From: Effects of Inertia and Gravity on Liquid Plug Splitting at a Bifurcation J Biomech Eng. 2006;128(5): doi: / Figure Legend: Rs versus Rep for ϕ=30deg and different γ using deionized distilled water. γ=−15deg: ◆ (experiments),—(theory); γ=0deg: ∎ (experiments), --- (theory); γ=15deg: ▴ (experiments), ⋯ (theory).

4 Date of download: 10/2/2017 Copyright © ASME. All rights reserved. From: Effects of Inertia and Gravity on Liquid Plug Splitting at a Bifurcation J Biomech Eng. 2006;128(5): doi: / Figure Legend: Experimental results of effect of parent plug volume on splitting ratio, Rs versus Rep for deionized distilled water at ϕ=15deg, γ=0deg. L0=1cm(L0∕a1=5): ∎ (expt),—(theory); L0=2cm(L0∕a1=10): ◆ (expt), --- (theory).

5 Date of download: 10/2/2017 Copyright © ASME. All rights reserved. From: Effects of Inertia and Gravity on Liquid Plug Splitting at a Bifurcation J Biomech Eng. 2006;128(5): doi: / Figure Legend: Experimental results of Rs versus Rep with the presence of the lower plug blockage for γ=0deg and different ϕ using deionized distilled water. ◆: ϕ=15deg; ∎: ϕ=30deg; ▴: ϕ=60deg.

6 Date of download: 10/2/2017 Copyright © ASME. All rights reserved. From: Effects of Inertia and Gravity on Liquid Plug Splitting at a Bifurcation J Biomech Eng. 2006;128(5): doi: / Figure Legend: Experimental results of the total liquid ratio, Rt versus Rep with the presence of the lower plug blockage for γ=0deg and different ϕ using deionized distilled water. ◆: ϕ=15deg; ∎: ϕ=30deg; ▴: ϕ=60deg.

7 Date of download: 10/2/2017 Copyright © ASME. All rights reserved. From: Effects of Inertia and Gravity on Liquid Plug Splitting at a Bifurcation J Biomech Eng. 2006;128(5): doi: / Figure Legend: Schematic of plug flow in the bifurcation plates. a1, a2, and a3 are the radius of the parent, upper, and lower daughter tube, respectively. P1 is the pressure of the pumped air. P2 and P3 are atmospheric pressure. L1, L2, and L3 are the plug lengths in the parent, upper, and lower daughter tube, respectively. π1, π0, π2, and π3 are the pressures in the liquid plug at the rear interface, bifurcation zone, front meniscus of the upper daughter, and front meniscus of the lower daughter, respectively. Up, U2, and U3 are the plug velocities of the rear meniscus in the parent tube and front menisci in the upper daughter and lower daughter tubes.

8 Date of download: 10/2/2017 Copyright © ASME. All rights reserved. From: Effects of Inertia and Gravity on Liquid Plug Splitting at a Bifurcation J Biomech Eng. 2006;128(5): doi: / Figure Legend: Rs versus Cap for γ=0deg and ϕ=30deg with three liquid materials. Deionized distilled water: ◆ (expt),—(theory); 60% glycerin: ∎ (expt); LB-400X : ▴ (expt), ⋯ (theory).


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