Chapter 20
Dimensional Analysis, Similitude, and Modeling
寸法解析
Dimensional analysis helps simplify fluid flow problems by using dimensionless groups, reducing complex variables into simpler terms that are easier to ...
バッキンガム円周率の定理
Consider the flow through a pipe, where key variables include the pipe's diameter D, fluid velocity V, density ρ, and viscosity μ.
To ...
円周率の用語の決定
To determine Pi terms using the Buckingham Pi theorem, consider the example of analyzing lift force on an airplane wing.
Relevant variables here include ...
流体力学における無次元群
The dimensionless groups in fluid mechanics are ratios of physical quantities used to describe and analyze fluid behavior independently of units of ...
実験データの相関
A key use of dimensional analysis is to efficiently manage, interpret, and correlate experimental data.
Dimensional analysis alone cannot fully solve a ...
モデリングと類似性
A scaled model of a dam is tested in a controlled environment to observe how it will manage water flow, turbulence, and pressure.
This setup predicts the ...
典型的なモデルスタディ
Typical model studies analyze scaled-down systems to predict fluid behavior, focusing on interactions with free surfaces and flow around immersed bodies.
...
設計例: ダムの余水吐の水理モデルの作成
A hydraulic model of a dam spillway is often created by scaling down the design, typically to a 1:15 ratio, to replicate key flow characteristics such as ...
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