Detail publikace

Analytical Formula for the Mean Velocity Profile in a Pipe Derived on the Basis of a Spatial Polynomial Vorticity Distribution

ŠTIGLER, J.

Originální název

Analytical Formula for the Mean Velocity Profile in a Pipe Derived on the Basis of a Spatial Polynomial Vorticity Distribution

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

The derivation of the mean velocity profile for a given vorticity distribution over the pipe cross-section is presented in this paper1. The velocity profile and the vorticity distribution are axisymmetric, which means that the radius is the only variable. The importance of the vortex field for the flow analysis is discussed in the paper. The polynomial function with four free parameters is chosen for the vorticity distribution. Free parameters of this function are determined using boundary conditions. There are also two free exponents in the polynomial. These exponents are determined based on the comparison of this analytical formula with experimental data. Experimental data are taken from the Princeton superpipe data which consist of 26 velocity profiles for a wide range of Reynolds numbers (Re). This analytical formula for the mean velocity profile is more precise than the previous one and it is possible to use it for the wide range of Reynolds number <31,577; 35,259,000>. This formula is easy to use, to integrate, or to derivate. The empirical formulas for the profile parameters as a function of Re are also included in this paper. All information for the mean velocity profile prediction in the mentioned Re range are in the paper. It means that it is necessary to know the average velocity v((av)), the pipe radius R, and Re to be able to predict the turbulent mean velocity profile in a pipe.

Klíčová slova

fluid flow in pipe; turbulent mean velocity profile; vorticity

Autoři

ŠTIGLER, J.

Vydáno

14. 5. 2021

Nakladatel

MDPI

Místo

BASEL

ISSN

2073-4441

Periodikum

Water

Ročník

13

Číslo

10

Stát

Švýcarská konfederace

Strany od

1

Strany do

27

Strany počet

27

URL

https://www.mdpi.com/2073-4441/13/10/1372

Plný text v Digitální knihovně

http://hdl.handle.net/11012/201645

BibTex

@article{BUT172540,
  author="Jaroslav {Štigler}",
  title="Analytical Formula for the Mean Velocity Profile in a Pipe Derived on the Basis of a Spatial Polynomial Vorticity Distribution",
  journal="Water",
  year="2021",
  volume="13",
  number="10",
  pages="1--27",
  doi="10.3390/w13101372",
  issn="2073-4441",
  url="https://www.mdpi.com/2073-4441/13/10/1372"
}