1. For an upward flow in a cylindrical annulus, the viscous momentum-flux distribution (Trz) and the velocity distribution (Dz) are as following, respectively (see Fig. 2.4-1). Trz (1) = (P- - PR | (½) - 2 2L (Po v₂(1) = (90-91)² 4μL [()-2(4)] 2 In(1/k) (+) 2 [1-(1)² - 11-17 In (4)] In (1/x) By applying the appropriate boundary conditions, show the necessary steps starting from the below equation to derive the above two equations. = (2121) 1 P- -PL L

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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1.
For an upward flow in a cylindrical annulus, the viscous momentum-flux distribution
(Trz) and the velocity distribution (Dz) are as following, respectively (see Fig. 2.4-1).
Trz (1) =
(P-
- PR | (½) - 2
2L
(Po
v₂(1) =
(90-91)²
4μL
[()-2(4)]
2 In(1/k) (+)
2
[1-(1)² - 11-17 In (4)]
In (1/x)
By applying the appropriate boundary conditions, show the necessary steps starting from
the below equation to derive the above two equations.
= (2121) 1
P- -PL
L
Transcribed Image Text:1. For an upward flow in a cylindrical annulus, the viscous momentum-flux distribution (Trz) and the velocity distribution (Dz) are as following, respectively (see Fig. 2.4-1). Trz (1) = (P- - PR | (½) - 2 2L (Po v₂(1) = (90-91)² 4μL [()-2(4)] 2 In(1/k) (+) 2 [1-(1)² - 11-17 In (4)] In (1/x) By applying the appropriate boundary conditions, show the necessary steps starting from the below equation to derive the above two equations. = (2121) 1 P- -PL L
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