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Answers for “用速度和加速度表示的运动相似性定义是什么?”

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Kinematic similarity requires that velocities and accelerations at corresponding points in the two flows have the same direction and their magnitudes must be constant multiples of one another. It is the next requirement after geometric similarity.

Conditions: Requires geometric similarity as a prior condition.; Concerns corresponding points in the two flows.; Velocity and acceleration directions must match.; Velocity and acceleration magnitudes must be constant multiples of one another.

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Geometric similarity requires that the ratios of corresponding linear dimensions between the model and prototype are equal. For the two rectangular-box examples shown, the condition is expressed as Bb=Hh=Ww\frac{B}{b} = \frac{H}{h} = \frac{W}{w}.

Conditions: The compared objects must have corresponding linear dimensions.; Each ratio pairs a prototype length with the matching model length.; Applies to corresponding linear dimensions of two objects or domains.