Back to Search
Start Over
Accurate and Efficient Explicit Approximations of the Colebrook Flow Friction Equation Based on the Wright ω-Function: Reply to the Discussion by Majid Niazkar
- Source :
- Mathematics, Vol 8, Iss 796, p 796 (2020)
- Publication Year :
- 2020
- Publisher :
- MDPI AG, 2020.
-
Abstract
- In this reply, we present updated approximations to the Colebrook equation for flow friction. The equations are equally computational simple, but with increased accuracy thanks to the optimization procedure, which was proposed by the discusser, Dr. Majid Niazkar. Our large-scale quasi-Monte Carlo verifications confirm that the here presented novel optimized numerical parameters further significantly increase accuracy of the estimated flow friction factor. Web of Science 8 5 art. no. 796
- Subjects :
- Approximations of π
General Mathematics
02 engineering and technology
computational burden
01 natural sciences
010305 fluids & plasmas
symbols.namesake
0203 mechanical engineering
Simple (abstract algebra)
Lambert W function
friction factor
0103 physical sciences
Computer Science (miscellaneous)
Darcy friction factor formulae
Applied mathematics
Colebrook equation
Engineering (miscellaneous)
Mathematics
Turbulence
lcsh:Mathematics
Lambert W-function
Function (mathematics)
lcsh:QA1-939
hydraulic resistance
Friction factor
020303 mechanical engineering & transports
Wright ω-function
Flow (mathematics)
explicit approximations
turbulent flow
symbols
Subjects
Details
- ISSN :
- 22277390
- Volume :
- 8
- Database :
- OpenAIRE
- Journal :
- Mathematics
- Accession number :
- edsair.doi.dedup.....e2bcadf92c557804db66f65da633face