The pressure difference between two points in pipe due to turbulent flow depend on velocity, diameter, dynamic viscosity, density, roughness and distance between the points. Using the dimensional analysis, determine the head loss equation.

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Metrology of surface finish

In general terms, the application of scientific principles in the study of measurements is known as metrology. When speaking about measurement, it could be of time, length, microstructures, grain structures, internal crystal discontinuities, surface roughness, measurements of angles, height, width, and so on. While coming to the domain of mechanical engineering, metrology is considered the science of measurements of surface finish, length, surface texture, and angles.