What is the Fanning equation?

According to the Fanning equation, the frictional pressure loss in CT can be expressed as follows:(6.16)ΔPf=2fρv2Ldwhere ρ is the fluid density in kg/m3, v is the average fluid velocity in m/s, d is the inner diameter of CT in m, L is the length of pipe in m, and ΔP is the frictional pressure loss in MPa.

Is four times the Fanning friction factor?

The Darcy friction factor is four times the Fanning friction factor, fF, i.e., fD = 4fF. For fully developed turbulent flow regime in smooth and rough pipes, the Colebrook [5] equation or the Chen [6] equation can be used.

Which among the following is formula for friction factor?

(Rh=A/P). Thus, it is inversely proportional to loss of head due to friction.

What is Fanning friction factor used for?

The Fanning friction factor, named after John Thomas Fanning, is a dimensionless number used as a local parameter in continuum mechanics calculations. It is defined as the ratio between the local shear stress and the local flow kinetic energy density: where: is the local Fanning friction factor (dimensionless)

Why do we use Fanning friction factor?

The Fanning friction factor is an element in the calculation of pressure loss due to friction in a pipe. It is a function of the roughness of the pipe and the level of turbulence within the liquid flow. These factors can be determined experimentally but are more often taken from charts and diagrams.

What type of equation is the Colebrook equation?

The Colebrook–White equation, sometimes referred to simply as the Colebrook equation is a relationship between the friction factor and the Reynolds number, pipe roughness, and inside diameter of pipe.

How does pipe diameter affect friction factor?

The greater the diameter of the channel is, the greater the Reynolds value will be, and the smaller the friction factor value.

What is the difference between Darcy and Fanning friction factor?

The difference between the two friction factors is that the value of the Darcy friction factor is 4 times that of the Fanning friction factor. In all other aspects, they are identical, and by applying the conversion factor of 4 the friction factors may be used interchangeably.

How is friction factor for flow in a pipe related to pressure loss?

Thus, the friction factor is directly proportional to the pressure loss, for a specified fluid flowing in a particular velocity through a pipe having constant length and diameter.

What Fanning’s friction factor f is a ratio of?

The coefficient of skin friction or the Fanning friction factor is the ratio of the total normalized (i.e., dimensionless) shear stress acting on the surface of a solid.

What is Blasius friction factor?

The Blasius empirical correlation for turbulent pipe friction factors is derived from first principles and extended to non-Newtonian power law fluids. Two alternative formulations are obtained that both correlate well with the experimental measurements of Dodge, Bogue and Yoo.