Answer Happy

Problem 2 (4 points) As an engineer working for Thermo-Fisher Scientific, where your team is developing a new type of particle counter that will identify the concentration of particulate material in a water sample. The instrument works by pumping the sample through a narrow tube and using optical imaging to measure concentration. Using mass conservation, the distribution of particles in the tube may be described as, dc Davg Uavgrc = 0 dr where Davg is the average diffusion coefficient of the particulates, uavg is the average velocity of the particulates as they travel through the tube, c is the local particle concentration, and r is the radial position within the tube. If the concentration of the at the center of the tube (r = 0) is co, use this ODE to derive a function, c(r), that describes particulate concentration as a function of position. +