Book contents
- A Guide to Fluid Mechanics
- A Guide to Fluid Mechanics
- Copyright page
- Contents
- Foreword
- Nomenclature
- 1 Fluids and Fluid Mechanics
- 2 Forces in a Static Fluid
- 3 Description of Fluid Motion
- 4 Basic Equations of Fluid Dynamics
- 5 Inviscid Flow and Potential Flow Method
- 6 Viscous Shear Flow
- 7 Fundamentals of Compressible Flow
- 8 Similarity and Dimensional Analysis
- 9 Analysis of Some Flow Phenomena
- Bibliography
8 - Similarity and Dimensional Analysis
Published online by Cambridge University Press: 16 March 2023
- A Guide to Fluid Mechanics
- A Guide to Fluid Mechanics
- Copyright page
- Contents
- Foreword
- Nomenclature
- 1 Fluids and Fluid Mechanics
- 2 Forces in a Static Fluid
- 3 Description of Fluid Motion
- 4 Basic Equations of Fluid Dynamics
- 5 Inviscid Flow and Potential Flow Method
- 6 Viscous Shear Flow
- 7 Fundamentals of Compressible Flow
- 8 Similarity and Dimensional Analysis
- 9 Analysis of Some Flow Phenomena
- Bibliography
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.
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- A Guide to Fluid Mechanics , pp. 230 - 245Publisher: Cambridge University PressPrint publication year: 2023
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