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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?