3. You are a new engineer working for the YRCoating Company and you are part of a team that will design a process to produce a protective coating on a wire. The protective coating is a result of a novel chemical reaction utilizing ultraviolet light. As a result of this reaction the outer surface of the wire is transformed to a protective coating, but there is no change in wire diameter. The chemical reaction takes place in an annular region between the cylindrical walls of the reactor and the cylindrical wire. The wire is pulled through this region causing the liquid to circulate through a cooling unit that removes the heat generated from the reaction and keeps the temperature of the fluid constant. The radius of the outer stationary cylinder is 6mm and the wire radius is 5mm. The length of the reactor is L=0.5m. The wire moves through the reactor at a velocity of 0.06m/s. There is no pump in this system. Determine the force required to pull the wire through the liquid. Only consider the reactor section since you can neglect the recirculation loop since the tubing is very large compared to the annular area and the forces of the seals, entrance and exit regions can also be considered very small. The constitutive equation of this novel reactive fluid is a psuedoplastic liquid and is described using a power law expression: rz=K(dvz/dr)(dvz/dr)(n1) The values for this pseudoplastic fluid are n=0.3 and K=500Nss0.4/m2 a) Sketch the velocity profile (vz vS. r) for the annular fluid in the UV light zone -mark the dimensions on the plot. 3. You are a new engineer working for the YRCoating Company and you are part of a team that will design a process to produce a protective coating on a wire. The protective coating is a result of a novel chemical reaction utilizing ultraviolet light. As a result of this reaction the outer surface of the wire is transformed to a protective coating, but there is no change in wire diameter. The chemical reaction takes place in an annular region between the cylindrical walls of the reactor and the cylindrical wire. The wire is pulled through this region causing the liquid to circulate through a cooling unit that removes the heat generated from the reaction and keeps the temperature of the fluid constant. The radius of the outer stationary cylinder is 6mm and the wire radius is 5mm. The length of the reactor is L=0.5m. The wire moves through the reactor at a velocity of 0.06m/s. There is no pump in this system. Determine the force required to pull the wire through the liquid. Only consider the reactor section since you can neglect the recirculation loop since the tubing is very large compared to the annular area and the forces of the seals, entrance and exit regions can also be considered very small. The constitutive equation of this novel reactive fluid is a psuedoplastic liquid and is described using a power law expression: rz=K(dvz/dr)(dvz/dr)(n1) The values for this pseudoplastic fluid are n=0.3 and K=500Nss0.4/m2 a) Sketch the velocity profile (vz vS. r) for the annular fluid in the UV light zone -mark the dimensions on the plot
