Fluid Mechanics Fundamentals And Applications
Fluid Mechanics Fundamentals And Applications
3rd Edition
ISBN: 9780073380322
Author: Yunus Cengel, John Cimbala
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 10, Problem 1CP

Discuss how nondimensalizsionalization of the Navier-Stokes equation is helpful in obtaining approximate solutions. Give an example.

Expert Solution & Answer
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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:

  1. Non-dimensionalization helps in reducing the complexity of any equation.
  2. It helps in removing the dimensions of the all the quantities present.
  3. The primary function is to make the dimension of the quantities present in Navier-Stokes equation unity.
  4. It calculates small quantities with respect to a large quantity.
  5. 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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