What Can Students Learn While Solving Colebrook's Flow Friction Equation?

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F19%3A10242740" target="_blank" >RIV/61989100:27740/19:10242740 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.mdpi.com/2311-5521/4/3/114" target="_blank" >https://www.mdpi.com/2311-5521/4/3/114</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/fluids4030114" target="_blank" >10.3390/fluids4030114</a>

Jazyk výsledku

angličtina

Název v původním jazyce

What Can Students Learn While Solving Colebrook's Flow Friction Equation?

Popis výsledku v původním jazyce

Even a relatively simple equation such as Colebrook&apos;s offers a lot of possibilities to students to increase their computational skills. The Colebrook&apos;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-Raphson, and other types of multi-point iterative methods, iterative methods in a combination with Pade 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.

Název v anglickém jazyce

What Can Students Learn While Solving Colebrook's Flow Friction Equation?

Popis výsledku anglicky

Even a relatively simple equation such as Colebrook&apos;s offers a lot of possibilities to students to increase their computational skills. The Colebrook&apos;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-Raphson, and other types of multi-point iterative methods, iterative methods in a combination with Pade 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.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

—

OECD FORD obor

10103 - Statistics and probability

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2019

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Fluids

ISSN

2311-5521

e-ISSN

—

Svazek periodika

4

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

13

Strana od-do

—

Kód UT WoS článku

000488029400045

EID výsledku v databázi Scopus

2-s2.0-85071490960