The size (d,) of droplets produced by a liquid spray nozzle is demonstrated to depend upon the nozzle diameter (D), jet velocity (v), liquid density (p), liquid viscosity (u), and the surface tension (6). Apply dimensional analysis (MLt system considering D, p, and v as repeating variables) to obtain the groups describing the jet system. Note: Surface tension is measured by N/m

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Dimensional homogeneity

The term dimensional homogeneity means that in an equation, the dimensions of each term on both sides are equal, which means the dimensions of the left-hand side (LHS) of an equation are similar to the dimensions of the right-hand side (RHS). For a dimensionally homogeneous equation, the powers of fundamental dimensions will be identical on both sides of the equation.