4–17 Consider steady, incompressible, two-dimensional flow through a converging duct (Fig. P4–17). A simple approximate velocity field for this flow is V = (u, v) = (U, + bx)ỉ – byj where Uo is the horizontal speed at x = 0. Note that this equation ignores viscous effects along the walls but is a rea- sonable approximation throughout the majority of the flow field. Calculate the material acceleration for fluid particles passing through this duct. Give your answer in two ways: (1) as acceleration components a, and a, and (2) as accelera- tion vector a. y Uo

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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Question
4–17
Consider steady, incompressible, two-dimensional
flow through a converging duct (Fig. P4–17). A simple
approximate velocity field for this flow is
V = (u, v)
(U, + bx)ỉ – byi
|
where U, is the horizontal speed at x = 0. Note that this
equation ignores viscous effects along the walls but is a rea-
sonable approximation throughout the majority of the flow
field. Calculate the material acceleration for fluid particles
passing through this duct. Give your answer in two ways:
(1) as acceleration components a, and a, and (2) as accelera-
tion vector a.
y
Uo
Transcribed Image Text:4–17 Consider steady, incompressible, two-dimensional flow through a converging duct (Fig. P4–17). A simple approximate velocity field for this flow is V = (u, v) (U, + bx)ỉ – byi | where U, is the horizontal speed at x = 0. Note that this equation ignores viscous effects along the walls but is a rea- sonable approximation throughout the majority of the flow field. Calculate the material acceleration for fluid particles passing through this duct. Give your answer in two ways: (1) as acceleration components a, and a, and (2) as accelera- tion vector a. y Uo
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