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

I’ve been stuck on this problem and can’t find any examples anywhere to help me work through the problem. Could you show as much detail as possible. I’ve attached the velocity field I found that is referenced in the question and the image.

1.Flow through a wire-coating die (see figure below) is similar to the flow situation shown in Problem 2B.7 except that thefluid 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?

 

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