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O1. A belt moves upward at velocity Vo, dragging a film of viscous liquid of thickness h, as in Fig. 1. Near the belt, the film moves upward due to no slip. At its outer edge, the film moves downward due to gravity. Assuming that zero shear stress at the outer film edge, derive a formula for (i) The velocity (v), (ii) The average velocity vavg in the film, and (iii) Sketch the v/vave, ratio against the radius ratio.

O1. A belt moves upward at velocity Vo, dragging a film of viscous liquid of thickness h, as in Fig. 1. Near the belt, the film moves upward due to no slip. At its outer edge, the film moves downward due to gravity. Assuming that zero shear stress at the outer film edge, derive a formula for (i) The velocity (v), (ii) The average velocity vavg in the film, and (iii) Sketch the v/vave, ratio against the radius ratio.

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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Chemical Engineering Department (2020-2021) Advanced Fluid Flow O1. A belt moves upward at velocity Vo, dragging a film of viscous liquid of thickness h, as in Fig. 1. Near the belt, the film moves upward due to no slip. At its outer edge, the film moves downward due to gravity. Assuming that zero shear stress at the outer film edge, derive a formula for (i) The velocity (v), (ii) The average velocity vavg in the film, and (iii) Sketch the v/vave, ratio against the radius ratio. O2. Two immiscible liquids of equal thickness h are being sheared between a fixed and a moving plate, as in Fig. 2. Gravity is neglected, and there is no variation with x. Find an expression for (i) the velocity at the interface and (ii) the shear stress in each fluid. Assume steady laminar flow. Fluid layer Ve Fixed Fig. 1 Fig. 2
Transcribed Image Text:Chemical Engineering Department (2020-2021) Advanced Fluid Flow O1. A belt moves upward at velocity Vo, dragging a film of viscous liquid of thickness h, as in Fig. 1. Near the belt, the film moves upward due to no slip. At its outer edge, the film moves downward due to gravity. Assuming that zero shear stress at the outer film edge, derive a formula for (i) The velocity (v), (ii) The average velocity vavg in the film, and (iii) Sketch the v/vave, ratio against the radius ratio. O2. Two immiscible liquids of equal thickness h are being sheared between a fixed and a moving plate, as in Fig. 2. Gravity is neglected, and there is no variation with x. Find an expression for (i) the velocity at the interface and (ii) the shear stress in each fluid. Assume steady laminar flow. Fluid layer Ve Fixed Fig. 1 Fig. 2
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