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 thick ness L and the maximum velocity of the free surface. (Hint : The con vec- 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 gra vity force on the fluid.)
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 thick ness L and the maximum velocity of the free surface. (Hint : The con vec- 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 gra vity force on the fluid.)
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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Transcribed Image Text: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.)
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