Fundamentals of Aerodynamics
6th Edition
ISBN: 9781259129919
Author: John D. Anderson Jr.
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 3, Problem 3.16P
Consider the nonlifting flow over a circular cylinder of a given radius, where
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
(a) A wing section with a chord of c and a span of b is mounted at
zero angle of attack in a wind tunnel. A pitot probe is used to
measure the velocity profile in the viscous region downstream of the
wing section as shown in the figure. The measured velocity profile
is u(z) = U∞ - (U/2) cos[TZ/(2w)] for -w ≤ z ≤w. Here, w =
0.02c. Assuming a constant pressure p = Poo along the streamlines
(dashed lines in the figure) and across the wake where the velocity
was measured, calculate the friction drag coefficient Cp, of the wing
section.
Upo
ZA
Streamlines
u = U-L co
COS
+w
Viscous wake
'W
2w
(a) A wing section with a chord of c and a span of b is mounted at
zero angle of attack in a wind tunnel. A pitot probe is used to
measure the velocity profile in the viscous region downstream of the
wing section as shown in the figure. The measured velocity profile
is u(z) = U∞ - (U/2) cos[TZ/(2w)] for -w ≤ z ≤w. Here, w =
0.02c. Assuming a constant pressure p = po along the streamlines
(dashed lines in the figure) and across the wake where the velocity
was measured, calculate the friction drag coefficient Cp, of the wing
section.
U
Streamlines
u = U_ -- cos 22
2W²
+w
Viscous wake
=
-W
(b) Consider a thin flat plate at zero angle of attack in an airflow at
P∞ =
1.225 kg/m³, T∞ = 288 K and μ∞ 1.7894 x 10-5 kg/m/s.
The length of the plate is 2 m and the span is 0.5 m. Assume the
boundary layers on the plate are laminar throughout (on the upper
and lower surfaces both) where LBL(x)/x = 0.664/√√/Rex applies.
The freestream velocity is 100 m/s. Calculate the friction drag (Df)
of the first…
This question is from course Fluid Mechanics. Kindly solve it.
Chapter 3 Solutions
Fundamentals of Aerodynamics
Ch. 3 - For an irrotational flow. show that Bernoullis...Ch. 3 - Consider a venturi with a throat-to-inlet area...Ch. 3 - Consider a venturi with a small hole drilled in...Ch. 3 - Consider a low-speed open-circuit subsonic wind...Ch. 3 - Assume that a Pitot tube is inserted into the...Ch. 3 - A Pilot tube on an airplane flying at standard sea...Ch. 3 - At a given point on the surface of the wing of the...Ch. 3 - Consider a uniform flow with velocity V. Show that...Ch. 3 - Show that a source flow is a physically possible...Ch. 3 - Prove that the velocity potential and the stream...
Ch. 3 - Prove that the velocity potential and the stream...Ch. 3 - Consider the flow over a semi-infinite body as...Ch. 3 - Derive Equation (3.81). Hint: Make use of the...Ch. 3 - Derive the velocity potential for a doublet; that...Ch. 3 - Consider the nonlifting flow over a circular...Ch. 3 - Consider the nonlifting flow over a circular...Ch. 3 - Consider the lifting flow over a circular cylinder...Ch. 3 - The lift on a spinning circular cylinder in a...Ch. 3 - A typical World War I biplane fighter (such as the...Ch. 3 - The Kutta-Joukowski theorem, Equation (3.140), was...Ch. 3 - Consider the streamlines over a circular cylinder...Ch. 3 - Consider the flow field over a circular cylinder...Ch. 3 - Prove that the flow field specified in Example 2.1...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
3.3 It is known that a vertical force of 200 lb is required to remove the nail at C from the board. As the nail...
Vector Mechanics for Engineers: Statics
For the beam loading of Figure P334, draw the complete shearing force and bending moment diagrams, and determin...
Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
How is the hydrodynamic entry length defined for flow in a pipe? Is the entry length longer in laminar or turbu...
Fluid Mechanics Fundamentals And Applications
The moment of inertia Iy for the slender rod in terms of the rod’s total mass m .
Engineering Mechanics: Statics & Dynamics (14th Edition)
Repeat Problem 4-6 except solve by the vector loop method.
DESIGN OF MACHINERY
What types of polymers are most commonly blow molded?
DeGarmo's Materials and Processes in Manufacturing
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- The two-dimensional incompressible flow-field around a Rankine vortex of strength r and core size R, has only a circumferential component, v. The value of v is given as follows: R г v(r) Tr r R 2r Determine the vorticity of this flow-field and the pressure coefficient, Cp, and plot them as a function of r/R. The non-dimensional pressure coefficient C, is defined below. Where is the pressure expected to be minimum, and what is the value of the minimum C,? (Use polar coordinates) p - Poo Cp where p. is the pressure at infinity, and p is the density of the fluid. VR is the flow velocity at the outer edge of the vortex core (i.e. at r= R)arrow_forward(a) Use the y-momentum equation to show that the pressure gradient across the boundary layer is approximately zero i.e. = 0 . Assume the boundary layer to be a two-dimensional ду steady and incompressible flow. Neglect gravitational forces. State clearly all assumptions made. Use the Bernoulli's equation to prove that the pressure difference is given by (b) P2-P1 = -4pU? for a fluid with constant density p flowing from point 1 to point 2 where pi, U1, A1 are the pressure, velocity and flow cross-section area at point 1 and p2, U2, A2 are the pressure, velocity and flow cross-section area at point 2 respectively. The ratio of the cross-section area A1 = 3.arrow_forwardThe stream function for a two-dimensional, nonviscous, incompressible flow field is given by the expression V = -2(x – y) where the stream function has the units of ft²/s with x and y in feet. (a) Calculate velocity components u and v. (b) Verify that the velocity field is irrotational. (c) Generate an expression for the Potential function in this region.arrow_forward
- A tornado in atmospheric air is simulated by a CCW free vortex as a potential flow field. The velocity measured at r = 1 m from the center is 60 m/s. Determine the magnitude of dynamic pressure P at r = 10 m . (Use pi number = 3 , Air density = 1 .0 kg/m3 )ANSWER: P= 18 Paarrow_forwardConsider a flow field represented by the stream functionψ=(4+1) x3y - (6+1) x2y2 + (4+1)xy3. Is this a possible two-dimensionalincompressible flow? Is the flow irrotational?Discuss the reasons against your findings.arrow_forwardThe velocity components for idealised flow along a right angled wall is given by u = 4 x m/s, v = -4 y m/s, w = 0 m/s. Find the vorticity magnitude at position x=(1,2,1) cm. Give your answer to two decimal places.arrow_forward
- Water flows down between two vertical infinite parallel plates. The distance between the plates is 25 cm. The two plates are moving downward at a constant speed U, = 5 m/s. At the same time, a third plate with a thickness, b, located midway between the other two plates, is moving upward at a constant speed U, = 10 m/s. The flow is assumed steady, incompressible and laminar. Using the Navier-Stokes equations, compute: %3D a) The value of b for which the volumetric flow rate (per unit length) between the two parallel plates vanishes. b) The maximum shear stress, if b = 23 cm. %3Darrow_forwardThe velocity components of an incompressible, two-dimensional field are given bythe following equations: u(x,y) =y^2 -x (1+x) v(x,y) = y(2x+1) Show that the flow field is (a) irrotational and (b) satisfies conservation of mass.arrow_forwardConsider a flow field represented by the stream function ψ=24 x3y - 26 x2y2 + 24 xy3. Is this a possible two-dimensional incompressible flow? Is the flow irrotational?Discuss the reasons against your findings.arrow_forward
- A circular cylinder is fitted with two surface-mounted pressuresensors, to measure pa at θ = 1808 and pb at θ = 105°.The intention is to use the cylinder as a stream velocimeter.Using inviscid theory, derive a formula for estimating U∞in terms of pa, pb, ρ, and the cylinder radius a.arrow_forwardA potential steady and incompressible air flow on x-y plane has velocity in y-direction v= - 6 xy . Determine the velocity in x-direction u=? and Stream Function SF=? ( x2 : square of x ; x3: third power of x ; y2: square of y , y3: third power of y)ANSWER: u= 3 x2 - 3 y2 SF= 3 x2 y - y3arrow_forwardShow that the incompressible flow distribution, in cylindricalcoordinates,vr = 0 vθ = Crn vz = 0where C is a constant, ( a ) satisfies the Navier-Stokes equationfor only two values of n . Neglect gravity. ( b ) Knowingthat p = p ( r ) only, fi nd the pressure distribution for eachcase, assuming that the pressure at r = R is p 0 . What mightthese two cases represent?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
8.01x - Lect 27 - Fluid Mechanics, Hydrostatics, Pascal's Principle, Atmosph. Pressure; Author: Lectures by Walter Lewin. They will make you ♥ Physics.;https://www.youtube.com/watch?v=O_HQklhIlwQ;License: Standard YouTube License, CC-BY
Dynamics of Fluid Flow - Introduction; Author: Tutorials Point (India) Ltd.;https://www.youtube.com/watch?v=djx9jlkYAt4;License: Standard Youtube License