×
Log in to StudySoup
Get Full Access to Fluid Mechanics - 2 Edition - Chapter 4 - Problem 55p
Join StudySoup for FREE
Get Full Access to Fluid Mechanics - 2 Edition - Chapter 4 - Problem 55p

Already have an account? Login here
×
Reset your password

Solved: Converging duct flow is modeled by the steady,

Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala ISBN: 9780071284219 39

Solution for problem 55P Chapter 4

Fluid Mechanics | 2nd Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala

Fluid Mechanics | 2nd Edition

4 5 1 317 Reviews
31
4
Problem 55P

Converging duct flow is modeled by the steady, two- dimensional velocity field of Prob. 4‒17. A fluid particle (A) is located at x = xA and y = y A at time t = 0 (Fig. P4‒57). At some later time t. the fluid particle has moved downstream with the flow to some new location x = x A., y =y A., as show n in the figure. Generate an analytical expression for the y-location of the fluid particle at arbitrary time t in terms of its initial y-location y A and constant b. In other words, develop an expression for y A.(Hint: We know that v = dyparticle/dt  following a fluid particle. Substitute the equation for v. separate variables, and integrate.)

FIGURE P4‒57

Step-by-Step Solution:

Solution

Introduction

Consider a fluid particle  A which is initially located at x =xA and y=yA at some later time t the fluid particle has moved and the new location x=xA1  and y=yA1.

Step 1

The velocity field is given by v=()

                                 v=(U0 +bx) - by …………..(1)

We know that for a fluid particle v = 

Substitute the value of v from equation (1) in the above equation

= -byparticle

The subscript particle can move and the above equation can  write down as

= -by

Step 2 of 3

Chapter 4, Problem 55P is Solved
Step 3 of 3

Textbook: Fluid Mechanics
Edition: 2
Author: Yunus A. Cengel, John M. Cimbala
ISBN: 9780071284219

The answer to “Converging duct flow is modeled by the steady, two- dimensional velocity field of Prob. 4?17. A fluid particle (A) is located at x = xA and y = y A at time t = 0 (Fig. P4?57). At some later time t. the fluid particle has moved downstream with the flow to some new location x = x A., y =y A., as show n in the figure. Generate an analytical expression for the y-location of the fluid particle at arbitrary time t in terms of its initial y-location y A and constant b. In other words, develop an expression for y A.(Hint: We know that v = dyparticle/dt following a fluid particle. Substitute the equation for v. separate variables, and integrate.) FIGURE P4?57” is broken down into a number of easy to follow steps, and 124 words. Since the solution to 55P from 4 chapter was answered, more than 483 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 55P from chapter: 4 was answered by , our top Engineering and Tech solution expert on 07/03/17, 04:51AM. Fluid Mechanics was written by and is associated to the ISBN: 9780071284219. This full solution covers the following key subjects: particle, fluid, location, Expression, some. This expansive textbook survival guide covers 15 chapters, and 1547 solutions. This textbook survival guide was created for the textbook: Fluid Mechanics, edition: 2.

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Solved: Converging duct flow is modeled by the steady,