It states that calculating the friction factor ƒ is an essential step with piping systems. It notes that the Moody diagram is the widely accepted graphical method in the determination of ƒ but there are many equations serving the same purpose. It adds that the equation is proper in ...
Szilas et al. (1981) developed the friction factor equation for turbulent flow of power-law fluid in rough pipe:14f=−2.0log[ε/D3.71+10−β/2NReg(4f)(2−n)/2n]β=1.511/n(0.707n+2.12)−4.015n−1.057 For the turbulent flow of Herschel–Bulkley fluid in rough pipes, Reed and...
Since its inception by Darcy (in 1857) and Weisbach (in 1845), the now called Darcy-Weisbach equation for determining frictional losses in open channels (and pipes) is considered ‘standard’ provided its associated friction factor coefficient\(f=8{({u}_{\ast }/{U}_{b})}^{2}\)is kno...
An equation has been used which correlates the friction factor of the rough surface which has been developed which combines the effects of the rough and smooth surface on the flow to obtain a friction factor vs. Reynolds Number plot for the entire pipe-type cable system. This theory has been...
Improved Correlating Equations for the Friction Factor for Fully Turbulent Flow in Round Tubes and between Identical Parallel Plates, both Smooth and Natur... Mixed-mean velocities were computed by numerical integration using a comprehensive correlating equation for the velocity distribution, and independen...
Darcy Friction Factor Formulae in TurbulentPipe FlowJukka KiijärviLunowa ∗ Fluid Mechanics Paper 110727July 29, 2011AbstractThe Darcy friction factor in turbulent pipe flow must be solvedfrom the Colebrook equation by iteration. Because of the iterationnew equations to solve this friction factor...
Our Pipe Flow Expert and Pipe Flow Wizard software will automatically calculate whether laminar flow or turbulent flow will occur and they will automatically select the appropriate friction factor equation, such that the frictional resistance is calculated correctly and pressure drop in the pipe is ...
The larger exponent of 2.4 in the logarithmic function in equation 10 shows a larger sensitivity of the peak lift force coefficient to Lwx/c than to Iw. As a result, the influence of the vertical velocity turbulent energy's spatial distribution on the lift force on a stowed heliostat is ...
In recent years there have been quite a few experimental studies on turbulent flow in annuli. In this paper a Prandtl mixing-length approach is applied to give a friction factor vs. Reynolds number expression for annuli [see Equation (22) and Table 1]; this expression describes tube flow and...
29、io H dd dd dd r For annular flow the Reynolds number is udd io )( Re For laminar flow in the annulus the friction factor is related to the Reynolds number by the equation f = C/Re Entrance Section of a Pipe If the velocity at the entrance region of a tube is the same at ...