Assume that the drag, Fp, acting on a spherical particle that falls very slowl through a viscous fluid is a function of the particle diameter, D, its termina velocity, u∞, and the fluid viscosity µ. Determine, using dimensional analysi how the drag depends on the terminal velocity of the sphere. Is this resul familiar to you? Why is the drag (in this case) independent of the density o the fluid?
Assume that the drag, Fp, acting on a spherical particle that falls very slowl through a viscous fluid is a function of the particle diameter, D, its termina velocity, u∞, and the fluid viscosity µ. Determine, using dimensional analysi how the drag depends on the terminal velocity of the sphere. Is this resul familiar to you? Why is the drag (in this case) independent of the density o 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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Assume that the drag, \( F_D \), acting on a spherical particle that falls very slowly through a viscous fluid is a function of the particle diameter, \( D \), its terminal velocity, \( u_\infty \), and the fluid viscosity \( \mu \). Determine, using dimensional analysis, how the drag depends on the terminal velocity of the sphere. Is this result familiar to you? Why is the drag (in this case) independent of the density of the fluid?
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