Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 10, Problem 1CP
Discuss how nondimensalizsionalization of the Navier-Stokes equation is helpful in obtaining approximate solutions. Give an example.
Expert Solution & Answer
To determine
The advantages of solving Navier Strokes equation using non-dimensionalization.
Explanation of Solution
Non-dimensionalization of Navier-Stokes equation helps in obtaining approximate solutions. This can be explained from below mentioned points:
- Non-dimensionalization helps in reducing the complexity of any equation.
- It helps in removing the dimensions of the all the quantities present.
- The primary function is to make the dimension of the quantities present in Navier-Stokes equation unity.
- It calculates small quantities with respect to a large quantity.
- For example- If the value of Strouhal number is less with respect to Reynolds number, we can ignore the term containing Strouhal number whereas the respective value of Reynolds number must retain.
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Chapter 10 Solutions
Fluid Mechanics: Fundamentals and Applications
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