Answered: Consider a fluid (of constant density…

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:Consider a fluid (of constant density p) in incompressible, laminar flow in a tube of circular cross section, inclined at an angle ß to the vertical as shown in Figure 1. End effects may be neglected because the tube length L is relatively very large compared to the tube radius R. The fluid flows under the influence of both a pressure difference Ap and gravity. linear momentum flux (shear stress) rz(r) velocity profile Direction of gravity Figure 1 Fluid flow in circular tube. a) List your postulate. b) Derive the expressions for the steady-state shear stress distribution and the velocity profile for a Newtonian fluid (of constant viscosity p) using equation of motion in Appendix 1. c) A Newtonian liquid has a kinematic viscosity of 8 x 1o m'/s and density 2 x 10° kg/m. It is flowing through a 30° metal tube with 1.5 m long and 0.5 m inside diameter under a pressure difference of 45 N/m2. Determine the maximum velocity of the liquid using velocity profile in part (a).

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