Determine the value of the Reynolds number

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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(b) The Reynolds number is a dimensionless group defined for a fluid flowing in a pipe as

\[ Re = \frac{D u \rho}{\mu} \]

where \( D \) is pipe diameter, \( u \) is the fluid velocity, \( \rho \) is the fluid density, and \( \mu \) is the fluid dynamic viscosity. When the value of the Reynolds number is less than 2300, the flow is laminar—that is, the fluid flows in smooth streamlines. For Reynolds numbers above 2300, the flow is turbulent, characterized by a great deal of agitation.

Liquid ethylene glycol flows through a pipe with an inner diameter of 6.51 inches at an average velocity of 0.651 ft/s. At the fluid temperature of 20°C, the density of the liquid is 1.097 g/cm³ and the viscosity is 18.2 centipoise. Determine the value of the Reynolds number and whether the flow is laminar or turbulent.
Transcribed Image Text:(b) The Reynolds number is a dimensionless group defined for a fluid flowing in a pipe as \[ Re = \frac{D u \rho}{\mu} \] where \( D \) is pipe diameter, \( u \) is the fluid velocity, \( \rho \) is the fluid density, and \( \mu \) is the fluid dynamic viscosity. When the value of the Reynolds number is less than 2300, the flow is laminar—that is, the fluid flows in smooth streamlines. For Reynolds numbers above 2300, the flow is turbulent, characterized by a great deal of agitation. Liquid ethylene glycol flows through a pipe with an inner diameter of 6.51 inches at an average velocity of 0.651 ft/s. At the fluid temperature of 20°C, the density of the liquid is 1.097 g/cm³ and the viscosity is 18.2 centipoise. Determine the value of the Reynolds number and whether the flow is laminar or turbulent.
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