2. Consider the streamfunction (with u = 3y and v = -) and a coordinate transform from (x, y) to (x, 7), where n= = Rex V √UX/U Using the above and a streamfunction in the form = √xUf(n), show that the governing equations can be reduced to ff" +2f" = 0 with boundary conditions of f(0) = f'(0) = 0 and lim, f(n) = 1. This equation is referred to as the Blasius equation and its solution is known as the Blasius profile.
2. Consider the streamfunction (with u = 3y and v = -) and a coordinate transform from (x, y) to (x, 7), where n= = Rex V √UX/U Using the above and a streamfunction in the form = √xUf(n), show that the governing equations can be reduced to ff" +2f" = 0 with boundary conditions of f(0) = f'(0) = 0 and lim, f(n) = 1. This equation is referred to as the Blasius equation and its solution is known as the Blasius profile.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
Transcribed Image Text:3.4 Specification of a laminar boundary layer profile as an inflow condition is often
used in incompressible flow simulations. Let us consider the Blasius profile, which
is a similarity solution for the steady laminar boundary layer on a flat plate.
Fig. 3.25 Flat-plate laminar
boundary layer
Dv
2. Consider the streamfunction(with u = and v=-
transform from (x, y) to (x, n), where
n =
y
√ux/U%
= Rex
u(x, y)
and a coordinate
Using the above and a streamfunction in the form = √xUf(n), show that
the governing equations can be reduced to
ff" +2f"" = 0
with boundary conditions of f(0) = f'(0) = 0 and lim, f(n) = 1. This
equation is referred to as the Blasius equation and its solution is known as the
Blasius profile.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 3 images
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.Recommended textbooks for you
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
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