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2.9-4. Shell Momentum Balance for Flow Down an Inclined Plane. Consider the case of a Newtonian fluid in steady-state laminar flow down an inclined plane surface that makes an angle 0 with the horizontal. Using a shell momentum balance, find the equation for the velocity profile within the liquid layer having a thickness L and the maximum velocity of the free surface. (Hint : The convec- tive momentum terms cancel for fully developed flow and the pressure-force terms also cancel, because of the presence of a free surface. Note that there is a gravity force on the fluid.) CS Scanned,with CamScanner pgL? sin 0/2 µ Ans. V. max

2.9-4. Shell Momentum Balance for Flow Down an Inclined Plane. Consider the case of a Newtonian fluid in steady-state laminar flow down an inclined plane surface that makes an angle 0 with the horizontal. Using a shell momentum balance, find the equation for the velocity profile within the liquid layer having a thickness L and the maximum velocity of the free surface. (Hint : The convec- tive momentum terms cancel for fully developed flow and the pressure-force terms also cancel, because of the presence of a free surface. Note that there is a gravity force on the fluid.) CS Scanned,with CamScanner pgL? sin 0/2 µ Ans. V. max

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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2.9-4. Shell Momentum Balance for Flow Down an Inclined Plane. Consider the case of a Newtonian fluid in steady-state laminar flow down an inclined plane surface that makes an angle 0 with the horizontal. Using a shell momentum balance, find the equation for the velocity profile within the liquid layer having a thickness L and the maximum velocity of the free surface. (Hint: The convec- tive momentum terms cancel for fully developed flow and the pressure-force terms also cancel, because of the presence of a free surface. Note that there is à gra vity force on the fluid.) Ans. v. max = pgL sin 0/2 u 2.10-1. Viscosity Measurement of a Liquid. Ône use of the Hagen-Poiseuille equation (2.10-2) is in determining the viscosity of a liquid by measuring the pressure Cs, Scanned ywith CamScanner
Transcribed Image Text:2.9-4. Shell Momentum Balance for Flow Down an Inclined Plane. Consider the case of a Newtonian fluid in steady-state laminar flow down an inclined plane surface that makes an angle 0 with the horizontal. Using a shell momentum balance, find the equation for the velocity profile within the liquid layer having a thickness L and the maximum velocity of the free surface. (Hint: The convec- tive momentum terms cancel for fully developed flow and the pressure-force terms also cancel, because of the presence of a free surface. Note that there is à gra vity force on the fluid.) Ans. v. max = pgL sin 0/2 u 2.10-1. Viscosity Measurement of a Liquid. Ône use of the Hagen-Poiseuille equation (2.10-2) is in determining the viscosity of a liquid by measuring the pressure Cs, Scanned ywith CamScanner
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