Problem 3. Numerical results for the Blasius solution ✓ for laminar boundary layer flow can be obtained using a Matlab program on my ME 347 Canvas page. (a) Derive the equation for the dimensionless y-component of velocity, v/U, as a function of the similarity parameter (or dimensionless location), n = y√√U/(vx), the dimensionless stream function, f(n) = 4/√Uv x, and the Reynolds number, Re = Ux/v. (b) From the Blasius solution results, calculate the Reynolds number that corresponds to a boundary layer thickness of 8 = 5.0 mm at x = 0.50 m. (c) Plot v/U (on the x-axis) versus y/d = n/5.0 by editing the Matlab code above to include the needed calculations (a tutorial that describes the code above and indicates how to edit the code is available here). Add to your plot the polynomial profile from Homework 2, Problem 1 which is an approximate fit to the Blasius solution. NOTE: Be careful to differentiate between lowercase for the y-component of velocity and the Greek letter v = μ/p (called "nu") for the kinematic viscosity.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.33P
icon
Related questions
Question
Problem 3. Numerical results for the Blasius solution ✓ for laminar boundary layer flow can be obtained using a
Matlab program on my ME 347 Canvas page. (a) Derive the equation for the dimensionless y-component of
velocity, v/U, as a function of the similarity parameter (or dimensionless location), n = y√√U/(vx), the
dimensionless stream function, f(n) = 4/√Uv x, and the Reynolds number, Re = Ux/v. (b) From the
Blasius solution results, calculate the Reynolds number that corresponds to a boundary layer thickness of
8 = 5.0 mm at x = 0.50 m. (c) Plot v/U (on the x-axis) versus y/d = n/5.0 by editing the Matlab code above
to include the needed calculations (a tutorial that describes the code above and indicates how to edit the code is
available here). Add to your plot the polynomial profile from Homework 2, Problem 1 which is an approximate
fit to the Blasius solution. NOTE: Be careful to differentiate between lowercase for the y-component of
velocity and the Greek letter v = μ/p (called "nu") for the kinematic viscosity.
Transcribed Image Text:Problem 3. Numerical results for the Blasius solution ✓ for laminar boundary layer flow can be obtained using a Matlab program on my ME 347 Canvas page. (a) Derive the equation for the dimensionless y-component of velocity, v/U, as a function of the similarity parameter (or dimensionless location), n = y√√U/(vx), the dimensionless stream function, f(n) = 4/√Uv x, and the Reynolds number, Re = Ux/v. (b) From the Blasius solution results, calculate the Reynolds number that corresponds to a boundary layer thickness of 8 = 5.0 mm at x = 0.50 m. (c) Plot v/U (on the x-axis) versus y/d = n/5.0 by editing the Matlab code above to include the needed calculations (a tutorial that describes the code above and indicates how to edit the code is available here). Add to your plot the polynomial profile from Homework 2, Problem 1 which is an approximate fit to the Blasius solution. NOTE: Be careful to differentiate between lowercase for the y-component of velocity and the Greek letter v = μ/p (called "nu") for the kinematic viscosity.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Heat Transfer (Activate Learning wi…
Principles of Heat Transfer (Activate Learning wi…
Mechanical Engineering
ISBN:
9781305387102
Author:
Kreith, Frank; Manglik, Raj M.
Publisher:
Cengage Learning