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Q2 (15 Marks): A Newtonian fluid is in laminar flow in a narrow slit formed by two parallel walls a distance 2B apart. The liquid flows downward under the influence of a pressure difference and gravity. It is understood that B << W, so that "edge effects" are unimportant. Make a differential momentum balance, and obtain the following expressions for the momentum-flux and velocity distributions: V₁ == = (Po - P₁\x L (P.-P.)B2 2μL [-0)] In these expressions P = p + pgh = p-pgh Fluid in N 2B t W L Fluid out Figure Q2: Flow through a slit, with B << W<

Q2 (15 Marks): A Newtonian fluid is in laminar flow in a narrow slit formed by two parallel walls a distance 2B apart. The liquid flows downward under the influence of a pressure difference and gravity. It is understood that B << W, so that "edge effects" are unimportant. Make a differential momentum balance, and obtain the following expressions for the momentum-flux and velocity distributions: V₁ == = (Po - P₁\x L (P.-P.)B2 2μL [-0)] In these expressions P = p + pgh = p-pgh Fluid in N 2B t W L Fluid out Figure Q2: Flow through a slit, with B << W<

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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Q2 (15 Marks): A Newtonian fluid is in laminar flow in a narrow slit formed by two parallel walls a distance 2B apart. The liquid flows downward under the influence of a pressure difference and gravity. It is understood that B << W, so that "edge effects" are unimportant. Make a differential momentum balance, and obtain the following expressions for the momentum-flux and velocity distributions: V₁ == = (Po - P₁\x L (P.-P.)B2 2μL [-0)] In these expressions P = p + pgh = p-pgh Fluid in N 2B t W L Fluid out Figure Q2: Flow through a slit, with B << W<<L
Transcribed Image Text:Q2 (15 Marks): A Newtonian fluid is in laminar flow in a narrow slit formed by two parallel walls a distance 2B apart. The liquid flows downward under the influence of a pressure difference and gravity. It is understood that B << W, so that "edge effects" are unimportant. Make a differential momentum balance, and obtain the following expressions for the momentum-flux and velocity distributions: V₁ == = (Po - P₁\x L (P.-P.)B2 2μL [-0)] In these expressions P = p + pgh = p-pgh Fluid in N 2B t W L Fluid out Figure Q2: Flow through a slit, with B << W<<L
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