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Friction in a fluid flow occurs when there is resistance to the flow caused by the interaction between the fluid and the walls of the pipe or conduit through which it is flowing. This resistance results in a decrease in pressure along the length of the pipe, known as pressure drop.
The pressure drop due to friction can be calculated using the Darcy-Weisbach equation, which relates the pressure drop to the velocity, diameter, length, and other properties of the fluid and pipe. The equation is given by:
ΔP = (f * (L/D) * (ρ * V^2))/2
where ΔP is the pressure drop, f is the friction factor, L is the length of the pipe, D is the diameter of the pipe, ρ is the density of the fluid, and V is the velocity of the fluid.
The friction factor, f, depends on the Reynolds number, which is a dimensionless quantity that characterizes the flow regime. The Reynolds number is given by:
Re = (ρ * V * D) / μ
where μ is the dynamic viscosity of the fluid.
The pressure drop due to friction increases with increasing flow rate, length of the pipe, and roughness of the pipe walls. It also depends on the fluid properties, such as density and viscosity.
Pressure drop due to friction is an important consideration in fluid flow systems, as it affects the efficiency and effectiveness of the system. It is often necessary to minimize pressure drop to ensure optimal performance and reduce energy consumption.
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