Question: An incompressible fluid flows steadily through the rectangular duct in the figure. The exit velocity profile is given by u ≈ umax(1 y2/b2)(1 z2/h2). (a)

An incompressible fluid flows steadily through the rectangular duct in the figure. The exit velocity profile is given by u ≈ umax(1 €“ y2/b2)(1 €“ z2/h2). (a) Does this profile satisfy the correct boundary conditions for viscous fluid flow? (b) Find an analytical expression for the volume flow Q at the exit. (c) If the inlet flow is 300 ft3/min, estimate umax in m/s.

An incompressible fluid flows steadily

INLET 2b 2h ry EXIT x, u

Step by Step Solution

★★★★★

3.37 Rating (147 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The fluid should not slip at any of the duct surfaces which are defined by y b and z h From o... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

E-ME-FM (271).docx

120 KBs Word File

Students Have Also Explored These Related Mechanical Engineering Questions!

An incompressible fluid flows past an impermeable flat plate, as in Fig. P3.16, with a uniform inlet profile u = Uo and a cubic polynomial exit profile u ≈ Uo (3n n3 / 2) where n = y/∂...

A velocity field is given by u = V cos, v = V sin, and w = 0, where V and are constants. Find an expression for the streamlines of this flow.

A consumers utility function is given by U = XY, where M UX = Y and M UY = X. a. What is the utility derived from 1 unit of X and 2 units of Y? What is the utility derived from 2 units of X and 1...

1 3 An incompressible fluid flows steadily through a pipe that has a change in diameter. The fluid speed at a location where the pipe diameter is 8 . 0 cm is 1 . 2 8 m s . What is the fluid speed at...

Flow rate: An incompressible fluid flows steadily through a pipe that has a change in diameter. The fluid speed at a location where the pipe diameter is 8 . 0 cm is 1 . 2 8 m / s . What is the fluid...

An incompressible fluid flows steadily through a pipe that has a change in diameter. The fluid speed at a location where the pipe radius is 4 . 0 cm is 1 . 2 8 m s . What is the fluid speed at a...

Question 5 1 0 An incompressible fluid flows steadily through a pipe that has a change in diameter. The fluid speed at a location where the pipe radius is 4 . 0 cm is 1 . 2 8 m s . What is the fluid...

A viscous, incompressible fluid flows steadily along a flat, horizontal plate due to a constant pressure gradient applied in the x - direction. The flow is one - dimensional, fully developed, and...

An incompressible fluid flows steadily past a circular cylinder as shown in Fig. P3.8. The fluid velocity along the dividing streamline $(-\infty \leq x \leq-a)$ is found to be...

When an incompressible fluid flows steadily through a round pipe, the pressure drop AP due to friction is given by where is the fluid density, U is the velocity, L/D is the pipe length-to-diameter...

Financial information exhibits the characteristic of consistency when: a. expenses are reported as charges against revenue in the period in which they are paid. b. accounting entities give...

Bailey is a plumber who earned income during the year from various sources. $45,000 Wages & Salary $10,000 Tattslotto win - Powerball $ 8,000 Army Reserve income $13,000 PSI income - labour hire $...

You are the database analyst for the Kenya National Examination Council Nairobi Branch and would like to compile, evaluate and analyze the results of this year s Inter - School exam results for...

A 5-year project with a $300,000 initial investment has an IRR of 18%. 1. What can you say about the NPV of the project if the required return is 14%, and why? 2.Explain in your own words what the...

Given the following probability distribution, what is the expected return of security J? (Express your answer in percentage and round it two decimal places, but do not include the percent sign, %,...

A random sample of 325 bolts from machine A contained 35 defective bolts, while an independently chosen, random sample of 200 bolts from machine B contalned 14 defective bolts. Let p, be the...

We want to conduct a hypothesis test of the claim that the population mean score on a nationwide examination in anthropology is different from 509. So, we choose a random sample of exam scores. The...

Filer Manufacturing has 8.2 million shares of common stock outstanding. The current share price is $52, and the book value per share is $5. Filer Manufacturing also has two bond issues outstanding....

Consider the Seatbelts dataset from R. It contains multiple time series giving information of car drivers in Great Britain killed or seriously injured Jan 1969 to Dec 1984. The law for compulsory...

QUESTION 1 . Consider a portfolio equally invested in two stocks: A and B . Current market value of this portfolio is 1 0 0 million. The daily volatility for stock A ' s returns is 0 . 0 9 , and the...

The purpose of this assignment is to allow students the opportunity to research a Fortune 500 company stock using the popular online research tool Yahoo Finance. The tool allows the student to review...