2018 **Abstract:** This paper provides a new unified formula for Newtonian fluids valid for all pipe flow regimes from laminar to fully rough turbulent flow. This includes laminar flow; the unstable sharp jump from laminar to turbulent flow; and all types of turbulent regimes, including the smooth turbulent regime, the partial non-fully developed turbulent regime, and the fully developed rough turbulent regime. The new unified formula follows the inflectional form of curves suggested in Nikuradse’s experiment rather than the mon…

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“…Compared with some other experimental findings [3], the Colebrook equation fits the friction factor within a few dozen percent of error [4]. The Colebrook equation over the last 80 years has been seen by the industry as an informal standard for flow friction calculation and has been very well accepted in everyday engineering practice.…”

confidence: 83%

“…Compared with some other experimental findings [3], the Colebrook equation fits the friction factor within a few dozen percent of error [4]. The Colebrook equation over the last 80 years has been seen by the industry as an informal standard for flow friction calculation and has been very well accepted in everyday engineering practice.…”

confidence: 83%

“…In Equation (11), ∆p is the pressure loss, ρ is the density, u m is the average fluid velocity, x is the axial distance, d is the pipe diameter, and f f d is the friction factor for the fully developed flow. In general, this coefficient can be approximated as 16/Re [19]. The investigated geometry is shown in Figure 1.…”

confidence: 99%

“…Therefore, the grid arrangement of 4.5 × 10 6 for the computational domain has satisfactory grid independence and is adequate for the resolution of the conjugate heat-transfer problem. The heat-transfer coefficient and pressure drop have been evaluated using Equations (18) and (19).…”

confidence: 99%

“…As shown in Appendix A of this paper, another formulas are used in the case of waterworks systems [17,18] or ventilation networks [7].…”

confidence: 99%