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The similarity requirements are the equalities of corresponding non-left-hand-side dimensionless groups between the prototype and the model. Specifically, $\Pi_2^{(p)} = \Pi_2^{(m)}$, $\Pi_3^{(p)} = \Pi_3^{(m)}$, and $\Pi_{N-1}^{(p)} = \Pi_{N-1}^{(m)}$.

Conditions: Defined here for the groups $\Pi_2$ through $\Pi_{N-1}$.; The lecturer ties this naming to the convention that the left-hand-side parameter is placed in $\Pi_1$.; Applies to the prototype and model flow problems shown on the board.

The similarity requirements are the equalities of corresponding non-left-hand-side dimensionless groups between the prototype and the model. Specifically, $\Pi_2^{(p)} = \Pi_2^{(m)}$, $\Pi_3^{(p)} = \Pi_3^{(m)}$, and $\Pi_{N-1}^{(p)} = \Pi_{N-1}^{(m)}$.

Conditions: Defined here for the groups $\Pi_2$ through $\Pi_{N-1}$.; The lecturer ties this naming to the convention that the left-hand-side parameter is placed in $\Pi_1$.; Applies to the prototype and model flow problems shown on the board.

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.

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.