Question

Consider an incompressible flow, boundary layer growing along the surface flat plate with chord of length C. Assuming velocity profile through the boundary layer is given by: $u = v_{\infty} \left(\frac{y}{\delta}\right)^{1/2}$ For $0 < Y < \delta$ And $u = v_{\infty}$ for $y > \delta$ Where $\delta$ is the thickness of boundary layer. Calculate the coefficient of skin friction and comparing with the Blasius solution. 

          Consider an incompressible flow, boundary layer growing along the surface flat plate with chord of length C. Assuming velocity profile through the boundary layer is given by:
$u = v_{\infty} \left(\frac{y}{\delta}\right)^{1/2}$ For $0 < Y < \delta$
And $u = v_{\infty}$ for $y > \delta$
Where $\delta$ is the thickness of boundary layer.
Calculate the coefficient of skin friction and comparing with the Blasius solution.
Show more…
Consider an incompressible flow, boundary layer growing along the surface flat plate with chord of length C. Assuming velocity profile through the boundary layer is given by: u = v∞((y)/(δ))^1/2 For 0 < Y < δ And u = v∞ for y > δ Where δ is the thickness of boundary layer. Calculate the coefficient of skin friction and comparing with the Blasius solution.

Added by Jasmine H.

Close

University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
Consider an incompressible flow, boundary layer growing along the surface of a flat plate with a chord length of C. Assuming the velocity profile through the boundary layer is given by: u = vo for 0 < y < S and u = Vo for y > S where S is the thickness of the boundary layer. Calculate the coefficient of skin friction and compare it with the Blasius solution.
Close icon
Play audio
Feedback
Powered by NumerAI
Jennifer Stoner David Collins
Ivan Kochetkov verified

Chai Santi and 82 other subject Physics 101 Mechanics educators are ready to help you.

Ask a new question
*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs
*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.
*

Recommended Videos

-
numerical-results-of-the-blasius-solution-to-the-prandtl-boundary-layer-equations-are-presented-in-t

Numerical results of the Blasius solution to the Prandtl boundary-layer equations are presented in Table $9.1 .$ Consider steady, incompressible flow of standard air over a flat plate at freestream speed $U=5 \mathrm{m} / \mathrm{s}$. At $x=20 \mathrm{cm},$ estimate the distance from the surface at which $u=0.95 U$. Evaluate the slope of the streamline through this point. Obtain an algebraic expression for the local skin friction, $\tau_{w}(x)$. Obtain an algebraic expression for the total skin friction drag force on the plate. Evaluate the momentum thickness at $L=1 \mathrm{m}$.

Introduction to Fluid Mechanics

only-full-solution-please-lthe-velocity-distribution-of-a-given-laminar-boundary-layer-is-u-u-is-the-boundary-layer-thickness-derivethe-value-of-k8and-8-2the-velocity-distribution-of-laminar-21727

The velocity distribution of a given laminar boundary layer is: u/U = 1 - e^(-k y/ͅ). ͅ is the boundary layer thickness. Derive: The value of k, ͅ*/ͅ and ̑/ͅ. 2. The velocity distribution of laminar boundary layer on a flat plate is: u/U = 2y/ͅ - (y/ͅ)^2. ͅ is the boundary layer thickness. Derive: displacement thickness ͅ* and momentum thickness ̑. 3. The air flows through a flat plate with the velocity of 30m/s. The temperature of air is 25°C. The length of the plate is 500mm. Derive: (1) The boundary layer thickness, displacement thickness and momentum thickness at the position of 200mm from the leading edge of the plate. (2) The friction coefficient of the plate.

Adi S.
a-laminar-boundary-layer-develops-on-a-flat-plate-immersed-in-an-airstream-with-u-5-ms-and-a-temperature-t-20-c-fix-your-attention-on-a-station-x-025-m-downstream-of-the-leading-edge-a-what-19619

Adi S.
*

Recommended Textbooks

-
University Physics with Modern Physics

University Physics with Modern Physics

Hugh D. Young 14th Edition
achievement 1,430 solutions
Physics: Principles with Applications

Physics: Principles with Applications

Douglas C. Giancoli 7th Edition
achievement 1,306 solutions
Fundamentals of Physics

Fundamentals of Physics

David Halliday, Robert Resnick , Jearl Walker 10th Edition
achievement 1,938 solutions
*

Transcript

-
00:01 In this question you have to find the point at which u equals 0 .95 capital u and slope of steam line divided by the x and the expression for the skin coefficient and the total drag and momentum thickness.
00:22 So first from the basic equation of lazier's solution we can find that if that equals u.
00:32 U is 0 .9130 at eta equals 3 .5 and fd that will be 0 .95 and eta equals 0 .95 at eta equals 4 so if we want if that equals 0 .95 and have that will be 3 .5 plus 4 4 minus 3 .5 divided by 0 .955 minus 0 .913 times .95 minus 0 .913, eta.
01:25 And that is 3 .94 for eta...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever