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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.