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(Color online) (a) Side-view and (b) front-view conceptual schematics and (c) top-view micrograph of a dye-filled device with inactive (i.e., not pressurized) ; the fluid flow, indicated by a dashed white arrow, is not occluded. (d) Side-view and (e) front-view conceptual schematics and (f) top-view micrograph of a dye-filled device after activating two (, black arrows), showing that the channel is only partially occluded and fluid can flow around the ; the were manually filled with water prior to being connected to filtered house air through pressure gauges.
(Color online) Operation of a device consisting of three inlets that converge into one outlet; before converging, each channel contains (set at either 0 or ), offering 16 resistance settings per branch. The flow is driven at . (a) Schematic top view of the device; the number of activated in each branch are denoted, from left to right, as , , and . [(b)–(d)] Top-view micrographs of dye-filled channels when is (b) 1:6:14, (c) 14:1:6, and (d) 6:14:1.
(Color online) (a) Linear electrical circuit model. Each inlet branch is modeled as a variable resistor and a constant resistor in series and the outlet channel is modeled as a constant resistor . (b) When , the circuit is reduced to three resistors in series. (c) Total flow resistance measurements (solid symbols) as a function of the activated number of and its linear regression (solid line); the inlets and are pressurized at 5 and , respectively. (d) and measurements for different configurations . The “smart average” is found by averaging the solutions of pairs of equations, one of which is always the linear regression; hence the average also satisfies the linear regression.
(Color online) [(a) and (b)] Micrographs showing experimental measurements of stream width and center position for different configurations of 6:1:14 and (b) 14:6:1 when the center channel is filled with red dye. (c) Predictions (light bars) and measurements (dark bars) of outlet dye concentration (predicted as ) for various ratios (0:0:0, 6:6:6, and all the permutations of 1:6:14). (d) Correlation plot of the modeled vs the experimental stream center position. (e) Correlation plot of the modeled vs the experimental stream width.
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