Parallel Multiphase Microflows: Fundamental Physics, Stabilization Methods and Its Applications

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1 Supporting nformtion Prllel Multiphse Microflows: Fundmentl Physics, Stilition Methods nd ts Applictions Authors: Art Aot,, Kum Mwtri, Tkehiko Kitmori,,3 Affilitions: Kngw Acdemy of Science nd Technology 3-- Skdo, Tktsu, Kwski, Kngw 3-00, Jpn. F: ; Tel: nstitute of microchemicl technology 3-- Skdo, Tktsu, Kwski, Kngw 3-00, Jpn. F: ; Tel: The University of Tokyo 7-3- Hongo, Bunkyo, Tokyo , Jpn F: ; Tel: Corresponding uthor contct informtion; E-mil: kitmori@icl.t.u-tokyo.c.jp

2 FOW VEOCTY PROFE OF PARAE TWO-PHASE MCROFOWS Phse nd hve viscosities of µ nd µ nd widths of nd, respectively. As driving force of the flow, pressure difference of P -P o ΔP is ssumed for chnnel length of. The - nd -es re defined s directions cross nd long the chnnel, respectively. The origin of the -is is ssumed t the interfce of phses nd. Under these conditions, sher stress τ cn e epressed sed on momentum lnce s, d τ d ΔP. (S) n order to otin the stress for phses nd, integrl clculus of Eqution (S) is epressed s τ τ ΔP C ΔP C, (S) where C is constnt nd superscripts nd men phses nd. Here, continuity of sher stress is ssumed s oundry condition. Nmely, τ τ t 0. (S3) By sustituting Eqution (S) with Eqution (S3), the following reltionship is otined. C C C. (S4) Here, Newton s lw of viscosity is used, dv τ τ, (S5) d where v is flow velocity in the -direction. By using Equtions (S), (S4) nd (S5), the velocities of phses nd, v nd v, re epressed s

3 3 C C P v C C P v Δ Δ, (S6) where C is constnt. Here, consistency of v nd v t the interfce nd non-slip conditions re ssumed s oundry conditions. Nmely, v v t 0. 0 v t.. (S7) 0 v t. From Equtions (S6) nd (S7), C, C nd C re eliminted s Δ P v, (S8) Δ P v, (S9) Figure S shows flow velocity profiles clculted sed on Eqution (S8) nd (S9) for wter (.0 cp) -ethylcette (0.43 cp) when the width of the phse is equl to tht of phse,.

4 Fig. S Flow velocity profile of the wter-nitroenene flow in 00 µm-deep microchnnel. Fig. S Methods for the phse seprtion utiliing the microchnnel structures. () Guide structure. () Pillr structure. 4

5 Fig. S3 Modifiction procedures y CARM method. () The shllow nd deep microchnnels hve seprte inlet holes nd contct points in the microchip. () A solution contining modifiction compounds is introduced from the inlet of the shllow microchnnel y cpillrity. (c) The solution does not lek to the deep microchnnel nd only the shllow microchnnel is modified. (d) The solution is pushed wy with ir pressure from the deep microchnnel. (e) A sectionl illustrtion long the s-s dshed line in (d). Fig. S4 Conversion of plug flow into prllel two phse microflows in the microchnnel with the ptterned surfces. 5

6 Fig. S5 () Opticl microscope imges of the phse seprtion t the confluences. () Mimum flow rte of wter s function of the flow rte of ir. The lue solid circles show the eperimentl mimum flow rtes, nd the red solid line theoreticl higher limit. (c) Mimum nd flow rtes of wter s function of the flow rte of toluene. The lue solid circles show the eperimentl mimum flow rtes, the green solid tringles the eperimentl minimum flow rtes, the red solid line theoreticl higher limit, nd the rown dshed line the theoreticl lower limit. 6

7 Fig. S6 Dependence of the TM signl of the dmiture smple on the distnce from the confluence of () smple, regent, nd m-ylene nd () HCl, m-ylene, nd NOH. The open tringle, solid tringle, open squre, solid squre, open circle, nd solid circle correspond to.5 0-7,.0 0-7, , ,.0 0-8, nd 0 M of Co(). All smples included 0-6 M of Cu(). Fig. S7 Design of urine nlysis systems sed on MUOs nd CFCP. 7

8 Fig. S8 Microsystems for urine nlysis. 8

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