文档介绍:Chapter 7 Similitude & Dimensional Analysis
----Effective methods in model experiment.
Similarity Theory
Geometric Similarity
ic Similarity
Note: Vector similarity requires that 1) the magnitudes of involved vector parameters be proportional, and 2) their directions be the same.
Usually, many forces exist in a flow field.
Dynamic Similarity
Rules of Dynamic Similarity
The ratios of inertial force to different forces
then
∵
∴
in which,
each equation represents a rule of dynamic similarity.
Similarity rule of viscous force——The rule of Reynolds number
According to (a)
L is determined by the linear dimension by which the flow is mainly influenced, such as the pipe’s diameter and plate’s length.
Similarity rule of gravitational force——The rule of Froude number
According to (b)