Solution Found!

Converging duct flow (Fig. P4?17) is modeled by the

Chapter 4, Problem 33P

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Problem 33P

Converging duct flow (Fig. P417) is modeled by the steady, two-dimensional velocity field of  Prob. 417. Generate an analytical expression for the flow streamlines.

PROBLEM: Consider steady, incompressible, two-dimensional flow through a converging duct (Fig. P11–15). A simple approximate velocity field for this flow is

where U0 is the horizontal speed at x= 0. Note that this equation ignores viscous effects along the walls but is a reasonable 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 ax and ay and (2) as acceleration vector .

Questions & Answers

QUESTION:

Problem 33P

Converging duct flow (Fig. P417) is modeled by the steady, two-dimensional velocity field of  Prob. 417. Generate an analytical expression for the flow streamlines.

PROBLEM: Consider steady, incompressible, two-dimensional flow through a converging duct (Fig. P11–15). A simple approximate velocity field for this flow is

where U0 is the horizontal speed at x= 0. Note that this equation ignores viscous effects along the walls but is a reasonable 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 ax and ay and (2) as acceleration vector .

ANSWER:

Solution

Step 1 of 3

For the given velocity field, we need to derive an analytical expression for the flow streamlines by considering the flow to be steady in the two dimensional in x-y plane.

The steady two dimensional velocity field is given to be,

                                ………...1

Where is the horizontal speed at x=0.

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back