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(a) Let's consider a steady flow of an incompressible Newtonian fluid (with a density of p and a viscosity of µ) in a long, smooth, round tube of radius R. The length of pipe is L and the pressure difference over the length of pipe is AP. Show that -] You can use all the assumptions that we V₂(r): = Also, show that f=16/Re: made for this flow in the class. R² -ΔΡ 4μ L

(a) Let's consider a steady flow of an incompressible Newtonian fluid (with a density of p and a viscosity of µ) in a long, smooth, round tube of radius R. The length of pipe is L and the pressure difference over the length of pipe is AP. Show that -] You can use all the assumptions that we V₂(r): = Also, show that f=16/Re: made for this flow in the class. R² -ΔΡ 4μ L

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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(a) Let's consider a steady flow of an incompressible Newtonian fluid (with a density of p and a viscosity of µ) in a long, smooth, round tube of radius R. The length of pipe is L and the pressure difference over the length of pipe is AP. Show that V₂ (r) Also, show that f=16/Re made for this flow in the class. = -ΔΡ +(+)1¹-0²] L 4μ (b) For torsional flows, the pressure has the following distribution in the r-direction. p(R²N)² 2r² Where Po is the atmospheric pressure, 105 Pa. The vapor pressure of water is 0.025x105 Pa. Also, the density of water is 1000 kg/m³. When the cavitation does not happen, what is the maximum speed of the rotating shaft? P = P You can use all the assumptions that we 0
Transcribed Image Text:(a) Let's consider a steady flow of an incompressible Newtonian fluid (with a density of p and a viscosity of µ) in a long, smooth, round tube of radius R. The length of pipe is L and the pressure difference over the length of pipe is AP. Show that V₂ (r) Also, show that f=16/Re made for this flow in the class. = -ΔΡ +(+)1¹-0²] L 4μ (b) For torsional flows, the pressure has the following distribution in the r-direction. p(R²N)² 2r² Where Po is the atmospheric pressure, 105 Pa. The vapor pressure of water is 0.025x105 Pa. Also, the density of water is 1000 kg/m³. When the cavitation does not happen, what is the maximum speed of the rotating shaft? P = P You can use all the assumptions that we 0
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