CHAPTER 8
Non-dimensional Analysis
OUTLINE
- Introduction
- Units and Dimensions
- Non-dimensional Groups
- Non-dimensional Analysis
- Similitude
8.1 Introduction
We have learnt by now that any flow can be modelled in a mathematical form and that the different physical quantities governing the flow can be expressed in a functional form of other flow quantities. For example, pressure loss in laminar flow through a circular, smooth pipe depends on the flow velocity U, diameter D and length L of the pipe, and density ρ and viscosity μ of the fluid. That is, Δp = f (U, D, L, ρ, μ). In this functional relation there are 6 variables; in general, there may be m variables in such a relation. It has been our endeavour to find out such relation. We have two ...
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