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A liquid film of constant thickness L flows down an inclined wall that makes an angle with the horizontal. The liquid has density p and viscosity μ. Derive the velocity profile in terms of the fluid density and viscosity, acceleration of gravity, g, angle 0, and film thickness. Use a shell momentum balance and show all steps in the derivation. Hint: Use a coordinate system aligned with the inclined wall as shown in the diagram below. y solid liquid X 0

A liquid film of constant thickness L flows down an inclined wall that makes an angle with the horizontal. The liquid has density p and viscosity μ. Derive the velocity profile in terms of the fluid density and viscosity, acceleration of gravity, g, angle 0, and film thickness. Use a shell momentum balance and show all steps in the derivation. Hint: Use a coordinate system aligned with the inclined wall as shown in the diagram below. y solid liquid X 0

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
Section: Chapter Questions
Problem 1.1P
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A liquid film of constant thickness L flows down an inclined wall that makes an angle with the horizontal. The liquid has density p and viscosity μ. Derive the velocity profile in terms of the fluid density and viscosity, acceleration of gravity, g, angle, and film thickness. Use a shell momentum balance and show all steps in the derivation. Hint: Use a coordinate system aligned with the inclined wall as shown in the diagram below. y solid g liquid X Ө
Transcribed Image Text:A liquid film of constant thickness L flows down an inclined wall that makes an angle with the horizontal. The liquid has density p and viscosity μ. Derive the velocity profile in terms of the fluid density and viscosity, acceleration of gravity, g, angle, and film thickness. Use a shell momentum balance and show all steps in the derivation. Hint: Use a coordinate system aligned with the inclined wall as shown in the diagram below. y solid g liquid X Ө
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