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Q4/ Shear-thinning wire coating, . In a certain constant-pressure process, a wire is to be coated with PVC (polyvinylchloride) supplied at a flow rate Q, as shown in Fig. 1, The radius of the wire is ri and the radius of the die is r2. It is critical to estimate the coating thickness & from a knowledge of the velocity U at which the wire is drawn through the die. L Film thickness Fig.1 Wire Coating Wire Die Velocity U a. Derive an equation relating the coating thickness & to Q, U, and r1. b. PVC is a shear-thinning power-law fluid with an index n. If q = 1 - (1/n), show that the velocity profile in the die is given by: V₁ = U c. Hence, derive an expression for Q in terms of U, r1, r2, and q.

Q4/ Shear-thinning wire coating, . In a certain constant-pressure process, a wire is to be coated with PVC (polyvinylchloride) supplied at a flow rate Q, as shown in Fig. 1, The radius of the wire is ri and the radius of the die is r2. It is critical to estimate the coating thickness & from a knowledge of the velocity U at which the wire is drawn through the die. L Film thickness Fig.1 Wire Coating Wire Die Velocity U a. Derive an equation relating the coating thickness & to Q, U, and r1. b. PVC is a shear-thinning power-law fluid with an index n. If q = 1 - (1/n), show that the velocity profile in the die is given by: V₁ = U c. Hence, derive an expression for Q in terms of U, r1, r2, and q.

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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Q4/ Shear-thinning wire coating, . In a certain constant-pressure process, a wire is to be coated with PVC (polyvinylchloride) supplied at a flow rate Q, as shown in Fig. 1, The radius of the wire is ri and the radius of the die is r2. It is critical to estimate the coating thickness & from a knowledge of the velocity U at which the wire is drawn through the die. L Film thickness Fig.1 Wire Coating Wire Die Velocity U a. Derive an equation relating the coating thickness & to Q, U, and r1. b. PVC is a shear-thinning power-law fluid with an index n. If q = 1 - (1/n), show that the velocity profile in the die is given by: V₁ = U c. Hence, derive an expression for Q in terms of U, r1, r2, and q.
Transcribed Image Text:Q4/ Shear-thinning wire coating, . In a certain constant-pressure process, a wire is to be coated with PVC (polyvinylchloride) supplied at a flow rate Q, as shown in Fig. 1, The radius of the wire is ri and the radius of the die is r2. It is critical to estimate the coating thickness & from a knowledge of the velocity U at which the wire is drawn through the die. L Film thickness Fig.1 Wire Coating Wire Die Velocity U a. Derive an equation relating the coating thickness & to Q, U, and r1. b. PVC is a shear-thinning power-law fluid with an index n. If q = 1 - (1/n), show that the velocity profile in the die is given by: V₁ = U c. Hence, derive an expression for Q in terms of U, r1, r2, and q.
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