Hydraulics and Fluid Mechanics in ME
A compound pipe is required to be replaced by a new pipe. The two pipes are said to be equivalent, if

Diameter of both the pipes is same
Length of both the pipes is same
Loss of head and discharge of both the pipes is same
Loss of head and velocity of flow in both the pipes is same

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Hydraulics and Fluid Mechanics in ME
For similarity, in addition to models being geometrically similar to prototype, the following in both cases should also be equal

ratio of inertial force to force due to surface tension
all the four ratios of inertial force to force due to viscosity, gravitation, surface tension, and elasticity
ratio of inertial force to force due to gravitation
ratio of inertial force to force due to viscosity

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