What can students learn while solving Colebrook’s flow friction equation?
| Autor: | Brkić, Dejan, Praks, Pavel |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Iterative method
Computer science Engineering Multidisciplinary 02 engineering and technology lcsh:Thermodynamics 01 natural sciences 010305 fluids & plasmas Lambert W function teaching strategies symbols.namesake 020401 chemical engineering lcsh:QC310.15-319 0103 physical sciences Darcy friction factor formulae Padé approximant Applied mathematics Colebrook equation 0204 chemical engineering Education Scientific Disciplines lcsh:QC120-168.85 Fluid Flow and Transfer Processes learning Artificial neural network Mechanical Engineering floating-point computations Condensed Matter Physics Flow (mathematics) Special functions explicit approximations symbols Curve fitting iterative methods lcsh:Descriptive and experimental mechanics floating-point computations Padé polynomials |
| Zdroj: | Fluids Volume 4 Issue 3 Scipedia Open Access Scipedia SL Fluids, Vol 4, Iss 3, p 114 (2019) |
| Popis: | Even a relatively simple equation such as Colebrook&rsquo s offers a lot of possibilities to students to increase their computational skills. The Colebrook&rsquo s equation is implicit in the flow friction factor and, therefore, it needs to be solved iteratively or using explicit approximations, which need to be developed using different approaches. Various procedures can be used for iterative methods, such as single the fixed-point iterative method, Newton&ndash Raphson, and other types of multi-point iterative methods, iterative methods in a combination with Padé polynomials, special functions such as Lambert W, artificial intelligence such as neural networks, etc. In addition, to develop explicit approximations or to improve their accuracy, regression analysis, genetic algorithms, and curve fitting techniques can be used too. In this learning numerical exercise, a few numerical examples will be shown along with the explanation of the estimated pedagogical impact for university students. Students can see what the difference is between the classical vs. floating-point algebra used in computers. |
| Databáze: | OpenAIRE |
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