Q2. Drift vs. Diffusion - Consider two identical fluidic channels, labelled #1 and #2, filled with...

Transcribed Image Text:

Q2. Drift vs. Diffusion - Consider two identical fluidic channels, labelled #1 and #2, filled with different liquids with viscosities 1 and , and densities p1 and p2, and flow rates with velocities v1 and v2, respectively, as depicted in the figure below. A droplet of dye molecules in inserted into each channel at time (t = 0). The droplet in channel #1 travels to the end of the channel in a time t, while the droplet in channel #2 takes a time t2 to reach the end. Assume that the radius of the droplets is zero at t = 0. When the two drops have reached the end of the channel, express the ratio of their volumes in terms of the Reynolds numbers (Re1 and Re2) of the two channels along with other physical quantities characterizing the systems. t=0 1111 t=0 V Q2. Drift vs. Diffusion - Consider two identical fluidic channels, labelled #1 and #2, filled with different liquids with viscosities 1 and , and densities p1 and p2, and flow rates with velocities v1 and v2, respectively, as depicted in the figure below. A droplet of dye molecules in inserted into each channel at time (t = 0). The droplet in channel #1 travels to the end of the channel in a time t, while the droplet in channel #2 takes a time t2 to reach the end. Assume that the radius of the droplets is zero at t = 0. When the two drops have reached the end of the channel, express the ratio of their volumes in terms of the Reynolds numbers (Re1 and Re2) of the two channels along with other physical quantities characterizing the systems. t=0 1111 t=0 V