Fluid Mechanics
The pressure drop per unit length of pipe incurred by a fluid 'X' flowing through pipe is Δp. If another fluid 'Y' having both the specific gravity & density just double of that of fluid 'X', flows through the same pipe at the same flow rate/average velocity, then the pressure drop in this case will be

Δp²
Δp
Δp/2
2Δp

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Fluid Mechanics
The Prandtl mixing length is

Independent of radial distance from the pipe axis
Useful for computing laminar flow problems
Independent of the shear stress
Zero at the pipe wall and is a universal constant

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