What is the relation between diameter of a pipe and Reynolds number?

Answer 1

The Reynolds number (Re) is a dimensionless quantity used to predict flow patterns in fluid mechanics, and it is calculated using the formula ( Re = \frac{\rho v D}{\mu} ), where ( \rho ) is the fluid density, ( v ) is the flow velocity, ( D ) is the pipe diameter, and ( \mu ) is the dynamic viscosity of the fluid. As the diameter of the pipe increases, the Reynolds number typically increases, assuming constant flow velocity and fluid properties, indicating a transition from laminar to turbulent flow. Therefore, the diameter of a pipe is directly proportional to the Reynolds number, influencing the flow regime within the pipe.