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Navier-Stokes solutions for accelerating pipe flow : a review of analytical models
ID
Urbanowicz, Kamil
(
Avtor
),
ID
Bergant, Anton
(
Avtor
),
ID
Stosiak, Michal
(
Avtor
),
ID
Deptuła, Adam
(
Avtor
),
ID
Karpenko, Mykola
(
Avtor
)
PDF - Predstavitvena datoteka,
prenos
(1,23 MB)
MD5: 278F54D388D14692DB2C2F9B7447C0AA
URL - Izvorni URL, za dostop obiščite
https://www.mdpi.com/1996-1073/16/3/1407
Galerija slik
Izvleček
This paper reviews analytical solutions for the accelerated flow of an incompressible Newtonian fluid in a pipeline. This problem can be solved in one of two ways according to the (1) imposed pressure gradient or (2) flow rate. Laminar accelerated flow solutions presented in a number of publications concern cases where the two driving mechanisms are described by simple mathematical functions: (a) impulsive change; (b) constant change; (c) ramp change, etc. The adoption of a more complex and realistic description of the pressure gradient or flow rate will be associated with a profound mathematical complexity of the final solution. This is particularly visible with the help of the universal formula derived by several researchers over the years and discussed in this paper. In addition to the solutions strictly defined for laminar flow, an interesting extension of this theory is the theory of underlying laminar flow for the analysis of turbulent accelerated pipe flows (TULF model developed by García García and Alvariño). The TULF model extends the Pai model developed more than 60 years ago, which has been previously used for steady flows only. The discussed solutions extend the theory of analytical solutions of simplified two-dimensional Navier–Stokes equations and can be used not only to study the behavior of liquids during accelerating pipe flow but they can also be used to test the accuracy of commercial CFD codes.
Jezik:
Angleški jezik
Ključne besede:
Navier–Stokes equations
,
analytical solutions
,
accelerated flow
,
pipe flow
Vrsta gradiva:
Članek v reviji
Tipologija:
1.02 - Pregledni znanstveni članek
Organizacija:
FS - Fakulteta za strojništvo
Status publikacije:
Objavljeno
Različica publikacije:
Objavljena publikacija
Leto izida:
2023
Št. strani:
30 str.
Številčenje:
Vol. 16, iss. 3, art. 1407
PID:
20.500.12556/RUL-144242
UDK:
621.22
ISSN pri članku:
1996-1073
DOI:
10.3390/en16031407
COBISS.SI-ID:
140793091
Datum objave v RUL:
06.02.2023
Število ogledov:
577
Število prenosov:
80
Metapodatki:
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Objavi na:
Gradivo je del revije
Naslov:
Energies
Skrajšan naslov:
Energies
Založnik:
Molecular Diversity Preservation International
ISSN:
1996-1073
COBISS.SI-ID:
518046745
Licence
Licenca:
CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
Povezava:
http://creativecommons.org/licenses/by/4.0/deed.sl
Opis:
To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.
Sekundarni jezik
Jezik:
Slovenski jezik
Ključne besede:
Navier-Stoksove enačbe
,
analitične rešitve
,
pospešujoč tok
,
cevni tok
,
kanalski tok
Projekti
Financer:
ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Številka projekta:
L2-1825
Naslov:
Modeliranje zračnih mehurjev ujetih v hidravličnih cevnih sistemih
Financer:
ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Številka projekta:
P2-0162
Naslov:
Večfazni sistemi
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