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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.

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.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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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.
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