Navier-Stokes solutions for accelerating pipe flow : a review of analytical models

Urbanowicz, Kamil (avtor), Bergant, Anton (avtor), Stosiak, Michal (avtor), Deptuła, Adam (avtor), Karpenko, Mykola (avtor)

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

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