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1 results

  • 8 - Similarity and Dimensional Analysis

  • Hongwei Wang, Beihang University, Beijing
  • Book:
    A Guide to Fluid Mechanics
    Published online:
    16 March 2023
    Print publication:
    23 March 2023, pp 230-245

  • Summary

    This chapter briefly introduces the application of similarity theory and dimensional analysis in fluid mechanics. The concept of flow similarity is discussed at first to give the readers a brief idea what similarity means. Then some important dimensionless number is listed and discussed, which includes Reynolds number, Mach number, Strouhal number, Froude number, Euler number and Weber number. Next, the governing equations are transformed to a dimensionless form to shows how the dimensionless numbers act in the equations. In the end, some flow examples are provided to show the role of the dimensionless numbers.