Application of polymeric coatings to fibers can be accomplished by drawing a fiber through a bath of molten polymer: see schematic below. Wire 2kR Molten Polymer Let's assume steady, isothermal, and incompressible flow. i. Using Navier-Stokes equations in a cylindrical coordinate system along with appropriate boundary conditions, derive an expression for the z velocity as a function of the radial coordinater. M=p3 ii. Show that the amount of polymer coated per unit time, say M, is given by * R²V [k²(1-2 Ink)-1] 2 Ink where p denotes the density of the molten (liquid) polymer.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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Application of polymeric coatings to fibers can be accomplished by drawing a fiber through a
bath of molten polymer: see schematic below.
Wire2kR
Molten Polymer
→V
Let's assume steady, isothermal, and incompressible flow.
i. Using Navier-Stokes equations in a cylindrical coordinate system along with appropriate
boundary conditions, derive an expression for the z velocity as a function of the radial
coordinate r.
ii. Show that the amount of polymer coated per unit time, say M, is given by
* R²V [k² (1-2 Ink)-1]
M=p²
2 lnk
where p denotes the density of the molten (liquid) polymer.
Transcribed Image Text:Application of polymeric coatings to fibers can be accomplished by drawing a fiber through a bath of molten polymer: see schematic below. Wire2kR Molten Polymer →V Let's assume steady, isothermal, and incompressible flow. i. Using Navier-Stokes equations in a cylindrical coordinate system along with appropriate boundary conditions, derive an expression for the z velocity as a function of the radial coordinate r. ii. Show that the amount of polymer coated per unit time, say M, is given by * R²V [k² (1-2 Ink)-1] M=p² 2 lnk where p denotes the density of the molten (liquid) polymer.
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