2019
DOI: 10.3390/math8010026
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Abstract: The empirical logarithmic Colebrook equation for hydraulic resistance in pipes implicitly considers the unknown flow friction factor. Its explicit approximations, used to avoid iterative computations, should be accurate but also computationally efficient. We present a rational approximate procedure that completely avoids the use of transcendental functions, such as logarithm or non-integer power, which require execution of the additional number of floating-point operations in computer processor units. Instead … Show more

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Cited by 5 publications
(4 citation statements)
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“…The study should be extended to cover other types of fuel cell, to include water and heat management, etc. [52][53][54][55][56][57][58][59][60].…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…The study should be extended to cover other types of fuel cell, to include water and heat management, etc. [52][53][54][55][56][57][58][59][60].…”
Section: Discussionmentioning
confidence: 99%
“…On the other hand, evaluation of the system can be performed by a parametric study to analyze the operating points of the components [27,40,45]. Furthermore, some modifications in the heat recovery system and system operation have also been done by [25,52]. Regarding the implementation of the cogeneration system, other studies compared the system for different climate conditions, places, and demand profiles [41,53,54].…”
Section: Evaluation Of the System Designmentioning
confidence: 99%
“…The study should be extended to cover other types of fuel cell, to include water and heat management, etc. [52][53][54][55][56][57][58][59][60].…”
Section: Discussionmentioning
confidence: 99%
“…However, our novel Eq. ( 29) with the relative error of no more than 0.0012% is not only two times more accurate, but with two logarithmic functions, it is also simpler (approaches with the only one logarithmic function [70], and even without [71], exist, but they are less accurate; the approach with one logarithm [70] is based on symbolic regression where the second logarithm is replaced using Padé approximants [72], while the algorithm without logarithms [70] is based entirely on rational functions, where both the numerator and the denominator are polynomials). Although the Eq.…”
mentioning
confidence: 98%