(5) (5) (5) (5) A rectangular cross-section suction wind tunnel is designed with a curved upper...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
(5) (5) (5) (5) A rectangular cross-section suction wind tunnel is designed with a curved upper wall and a straight bottom wall. We are interested in characterising the boundary layer development along the bottom wall. The shape of the upper wall is designed such that the external (irrotational, or main) flow varies along the tunnel according to: U = Az /3 where A is a constant. The flow can be assumed to be two-dimensional and laminar, and the properties of air to be constant (p is density, u is dynamic viscosity, and v= /p is kinematic viscosity). The boundary layer thickness is represented by & and it is assumed that at x = 0, 8 = 0. The velocity distribution in the boundary layer is assumed to be approximated by: such that:: 2 = 7 - 2 / - (2) Vo where and are the momentum and displacement thickness, respectively. The boundary layer thickness can be assumed to satisfy: 6 = Ba. u(y) 6* 1 8 3 U 8 2 15 and (c) What is the local wall shear stress coefficient, Cfr : = X = L Figure 4: Boundary layer developing over bottom wall of suction wind tunnel. (a) Find the value of n to satisfy the integral boundary layer equations. U2 (b) Express 8/x in terms of Re, = V in terms Re pU/2' (d) What is the average coefficient C = T/(pU/2), where Ug = AL/? (5) (5) (5) (5) A rectangular cross-section suction wind tunnel is designed with a curved upper wall and a straight bottom wall. We are interested in characterising the boundary layer development along the bottom wall. The shape of the upper wall is designed such that the external (irrotational, or main) flow varies along the tunnel according to: U = Az /3 where A is a constant. The flow can be assumed to be two-dimensional and laminar, and the properties of air to be constant (p is density, u is dynamic viscosity, and v= /p is kinematic viscosity). The boundary layer thickness is represented by & and it is assumed that at x = 0, 8 = 0. The velocity distribution in the boundary layer is assumed to be approximated by: such that:: 2 = 7 - 2 / - (2) Vo where and are the momentum and displacement thickness, respectively. The boundary layer thickness can be assumed to satisfy: 6 = Ba. u(y) 6* 1 8 3 U 8 2 15 and (c) What is the local wall shear stress coefficient, Cfr : = X = L Figure 4: Boundary layer developing over bottom wall of suction wind tunnel. (a) Find the value of n to satisfy the integral boundary layer equations. U2 (b) Express 8/x in terms of Re, = V in terms Re pU/2' (d) What is the average coefficient C = T/(pU/2), where Ug = AL/?
Expert Answer:
Answer rating: 100% (QA)
a To find the value of n to satisfy the integral boundary layer equations we need to consider the in... View the full answer
Related Book For
Fundamentals Of Momentum Heat And Mass Transfer
ISBN: 9781118947463
6th Edition
Authors: James Welty, Gregory L. Rorrer, David G. Foster
Posted Date:
Students also viewed these mechanical engineering questions
-
(i) Write down the linear program relaxation for the vertex cover problem and solve the linear program. [6 marks] (ii) Based on the solution of the linear program in (b)(i), derive an integer...
-
If Y = $200 billion, c = 0.75, autonomous consumption = $10 billion, and T = $20 billion, induced consumption expenditure is Question 5 options: a) $135 billion. b) $200 billion. c) $180 billion. d)...
-
In one measurement of the body's bioelectric impedance, values of Z = 4.50 102 V and = -9.80 are obtained for the total impedance and the phase angle, respectively. These values assume that the...
-
When a file is transferred between two computers, two acknowledgement strategies are possible. In the first one, the file is chopped up into packets, which are individually acknowledged by the...
-
The rod has a slight taper and length L. It is suspended from the ceiling and supports a load P at its end. Show that the displacement of its end due to this load is Neglect the weight of the...
-
Beginning inventory, purchases and sales for item B901 are as follows; Assuming a perpetual inventory system and using the first-in, first-out (FIFO) method, determine (a) The cost of merchandise...
-
IBM issued a 30-year $1,000 par value bond with 8% coupon rate 10 years ago. The coupons are paid semiannually. The bond is currently selling at 96% of its par value. What is the YTM on IBM's debt...
-
It is often asserted that educational systems in developing countries, especially in rural areas, are unsuited to the real social and economic needs of development. Do you agree or disagree with this...
-
Examine the composition of the audit committee in Insurance Australia group in a critical manner and assess its effectiveness. Provide your group perspective regarding the advantages, if any, that...
-
A medical group recently conducted an advertising campaign for its new pediatric orthopedics department. After 4 weeks, a telephone survey found that 42% of the families with children under the age...
-
The United States is experiencing a decline of the middle class. What does this trend imply for the future of organizations such as (a) the U.S. Public Health Service, which operates many inner-city...
-
A dentist in Mexico City, Mexico, has decided to target adult orthodontia patients in the Southwestern United States. He offers the Invisalign braces, invisible braces that are rather high priced in...
-
A women's health clinic has recognized the need to segment its market. Identify three bases by which this clinic might segment the female market, and identify the manner in which the "product" com-...
-
A large national MCO recently entered a major Southwestern metropolitan market. The managed care plan anticipated that, with an intensive advertising campaign and sales effort, it would have 75,000...
-
Similar to the Confederate statues, the statue of Christopher Columbus is also a symbol of past and present bigotry. For indigenous communities specifically, it is a reminder of their conquest, which...
-
Read Case Study Google: Dont Be Evil Unless and answer the following: Given its mission of providing information to the world, should Google censor searches in China?
-
Given the conditions of Problem 21.16, what height of vertical wall will cause the film at the bottom of the tube to be turbulent?
-
Air at 60F and atmospheric pressure flows inside a 1-in., 16-BWG copper tube whose surface is maintained at 240F by condensing steam. Find the temperature of the air after passing through 20 ft of...
-
Determine the velocity profile for fluid flowing between two parallel plates separated by a distance 2h. The pressure drop is constant.
-
Home Inc. (a US company) has a wholly-owned subsidiary, S, which it acquired on 1 January X0. The balance sheets of S as at 1 January X0 and 31 December X0 are as set out in Figure 15.1 in foreign...
-
An entitys functional currency is: A. The currency of its parents country. B. The currency of its own country. C. The currency in which the financial statements are presented. D. The currency of the...
-
Entity X based in one country (currency $) bought goods from Entity Y in another country (currency :) for :300,000 on 1 May 20X1. The spot rate on that date was $1 = :1. As at 31 December 20X1, the...
Study smarter with the SolutionInn App