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velocity distribution of the fluid,

velocity distribution of the fluid,

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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CONFIDENTIAL at Cartesian coordinates (x,y,z): Ct a ave êt The Equation of Motion for a Newtonian Fluid with Constant p and u [p Dv/Dt = -(V. p)+ V²v+pg] ov +V₁ ov Cylindrical coordinates (1,8, z): Ov, v OV, or т де APPENDIX 1(1) Ove V₂ O₂ ar r 28 +V₂ ov, dz + V₂ ov, == --2 * )--2 + O v. + V)--- 1 ap r 20 +μ 8²v, 8²v CE/JUL 2022/CHE522/CPE523 2013] - 2 Ove 1.² 80 +Pg₂ 2 ov, ²80 [ (1 8(x)) + - 1 0 0 + + + + Pg, + PB: 1 av v av. v., *² + 1 ² + v, - - - - - ² + 1 [¹ / ( ² ) +100% + + PB: + V₂ r 20 +pg, +P80
Transcribed Image Text:CONFIDENTIAL at Cartesian coordinates (x,y,z): Ct a ave êt The Equation of Motion for a Newtonian Fluid with Constant p and u [p Dv/Dt = -(V. p)+ V²v+pg] ov +V₁ ov Cylindrical coordinates (1,8, z): Ov, v OV, or т де APPENDIX 1(1) Ove V₂ O₂ ar r 28 +V₂ ov, dz + V₂ ov, == --2 * )--2 + O v. + V)--- 1 ap r 20 +μ 8²v, 8²v CE/JUL 2022/CHE522/CPE523 2013] - 2 Ove 1.² 80 +Pg₂ 2 ov, ²80 [ (1 8(x)) + - 1 0 0 + + + + Pg, + PB: 1 av v av. v., *² + 1 ² + v, - - - - - ² + 1 [¹ / ( ² ) +100% + + PB: + V₂ r 20 +pg, +P80
a) An incompressible Newtonian fluid flow through a horizontal circular tube as shown in Figure 1. Assume that the fluid is laminar and under steady state conditions. V,(r) Po N R L Figure 1: Laminar flow in a horizontal pipe P₁ Derive the velocity distribution of the fluid, v₂ as a function of r using equation of motion in Appendix 1. You may neglect the gravity force in the derivation.
Transcribed Image Text:a) An incompressible Newtonian fluid flow through a horizontal circular tube as shown in Figure 1. Assume that the fluid is laminar and under steady state conditions. V,(r) Po N R L Figure 1: Laminar flow in a horizontal pipe P₁ Derive the velocity distribution of the fluid, v₂ as a function of r using equation of motion in Appendix 1. You may neglect the gravity force in the derivation.
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