# Flow through a wire-coating die (see figure below) is similar to the flow situation shown in…

I’m really stuck on this question and can’t find any examples in my textbook or notes. Please show all steps so that I can follow along and figure out how other problems like this can be solved. I’ve attached the diagram and the answer I found for the last hw.

1. Flow through a wire-coating die (see figure below) is similar to the flow situation shown in Problem 2B.7 except that the fluid coats the wire with a thickness that depends on the die dimensions and wire speed, V. Use the velocity field calculated for a power-law fluid in Homework set 3 and do the following:

a. Obtain an expression for the coating thickness, d, using a volume balance.

b. Obtain an expression for determining the die radius, R, required to produce a coating thickness of 3.3×10-3 m on a metal wire of diameter of 6.55×10-3m. Take m = 7602 Pa sn and n = 0.44. Identify the type of equation and explain how you would solve it.

c. Does the thickness depend on the wire speed, V? 