Top

Fluid Dynamics

Published in:

01-04-2023

Pulsating Turbulent Flows through a Square Pipe

Authors: N. V. Nikitin, N. V. Popelenskaya

Published in: Fluid Dynamics | Issue 2/2023

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

Pulsating turbulent flows in a square pipe are studied numerically. The flow dominance regime in which the fluid flow rate remains positive in all phases of the oscillatory cycle is considered. The flows are studied at several oscillation frequencies. The results are compared with oscillating laminar flows and a steady turbulent flow in a square pipe, as well as with pulsating turbulent flows in a round pipe. The integral and fluctuating characteristics of turbulence and their dependence on the oscillation frequency are determined. In particular, it is found that at the considered Reynolds number Re = 2200 the friction coefficient in pulsating flows turns out to be lower than that in the stationary flows. The drag reduction increases with growth of the oscillation period and reaches 14.7%. A distinctive feature of turbulent flows in pipes of rectangular cross-section is the occurrence of secondary flows of Prandtl’s 2nd kind. The details of secondary flows under the pulsating flow conditions are studied at length.

previous article Effective Tensor of the Relaxation Kernels of a Layered Medium Consisting of a Viscoelastic Material and a Viscous Incompressible Fluid

next article Flow Structure and Transition to Local Turbulence Downstream of an Asymmetric Narrowing that Imitates Arterial Stenosis

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Brereton, G.J. and Mankbadi, R.R., Review of recent advances in the study of unsteady turbulent internal flows, Appl. Mech. Rev., 1995, vol. 48, no. 4, pp. 189–212.ADSCrossRef

Carpinlioglu, M.O. and Gundogdu, M.Y., A critical review on pulsatile pipe flow studies directing towards future research topics, Flow Meas. Instrum., 2001, vol. 12, pp. 163–174.CrossRef

Manna M., Vacca A., and Verzicco R., Pulsating pipe flow with large-amplitude oscillations in the very high frequency regime. Part 1. Time-averaged analysis, J. Fluid Mech., 2012, vol. 700, pp. 246–282.ADSCrossRefMATH

Papadopoulos P.K. and Vouros A.P., Pulsating turbulent pipe flow in the current dominated regime at high and very-high frequencies, Int. J. Heat Fluid Flow, 2016, vol. 58, pp. 54–67.

Stokes, G.G., On the effect of the internal friction of fluids on the motion of pendulums, Cambridge Philos. Soc., 1850, vol. 9, pp. 1–86.ADS

Ramaprian, B.R. and Tu, S.W., Fully developed periodic turbulent pipe flow. Part 2. The detailed structure of the flow, J. Fluid Mech., 1983, vol. 137, pp. 59–81.ADSCrossRef

Tardu S.F. and Binder G., Wall shear stress modulation in unsteady turbulent channel flow with high imposed frequencies, Phys. Fluids, 1993, vol. 5, pp. 2028–2034.CrossRef

Nikitin, N.V., Popelenskaya, N.V., and Stroh, A., Prandtl’s secondary flows of the second kind. Problems of description, prediction, and simulation, Fluid Dyn., 2021, vol. 56, no. 4, pp. 513–538. https://doi.org/10.1134/S0015462821040091ADSMathSciNetCrossRef

Gavrilakis, S., Numerical simulation of low-Reynolds-number turbulent flow through a straight square duct, J. Fluid Mech., 1992, vol. 244, pp. 101–129.ADSCrossRef

10.

Nikitin, N.V., Pimanov, V.O., and Popelenskaya, N.V., Mechanism of formation of Prandtl’s secondary flows of the second kind, Doklady Physics, 2019, vol. 64 (2), pp. 61–65.ADSCrossRef

11.

Uhlmann, M., Pinelli, A., Kawahara, G., and Sekimoto, A., Marginally turbulent flow in a square duct, J. Fluid Mech., 2007, vol. 588, pp. 153–162.ADSCrossRefMATH

12.

Nikitin, N., Finite-difference method for incompressible Navier–Stokes equations in arbitrary orthogonal curvilinear coordinates, J. Comput. Phys., 2006, vol. 217, pp. 759–781.ADSMathSciNetCrossRefMATH

13.

Yakhot, A., Arad, M., and Ben-Dor, G., Numerical investigation of a laminar pulsating flow in a rectangular duct, Int. J. Numer. Meth. Fluids, 1999, vol. 29, pp. 935–950.CrossRefMATH

14.

Valueva, E.P. and Purdin, M.S., Pulsating laminar flow in a rectilinear channel, Teplofiz. Aeromekh., 2015, vol. 22, no. 6, pp. 761–773.

15.

White, F.M., Viscous Fluid Flow, 3rd edition, McGraw-Hill, 2006.

16.

Uchida, S., Pulsating viscous flow superposed on the steady laminar motion, Z. angew. Math. Phys., 1956, vol. 7, pp. 403–422.MathSciNetCrossRefMATH

17.

Richardson, E.G. and Tyler, E., The transfer velocity gradient near the mouths of pipes in which an alternating or continuous flow of air is established, Proc. Phys. Soc. Lond., 1929, vol. 42, pp. 1–15.ADSCrossRefMATH

18.

Lodahl, C.R., Sumer, B.M., and Fredosoe, J., Turbulent combined oscillatory flow and current in a pipe, J. Fluid Mech., 1998, vol. 373, pp. 313–348.ADSCrossRefMATH

19.

Manna, M. and Vacca, A., Spectral dynamic of pulsating turbulent pipe flow, Comput. Fluids, 2007, vol. 37, pp. 825–835.CrossRefMATH

20.

Gerrard, J.H., An experimental investigation of pulsating turbulent water flow in a tube, J. Fluid Mech., 1971, vol. 46, pp. 43–64.ADSCrossRef

21.

Nikitin, N., Turbulent secondary flows in channels with no-slip and shear-free boundaries, J. Fluid Mech., 2021, vol. 917, p. A24.ADSMathSciNetCrossRefMATH

Title: Pulsating Turbulent Flows through a Square Pipe
Authors: N. V. Nikitin
N. V. Popelenskaya
Publication date: 01-04-2023
Publisher: Pleiades Publishing
Published in: Fluid Dynamics / Issue 2/2023
Print ISSN: 0015-4628
Electronic ISSN: 1573-8507
DOI: https://doi.org/10.1134/S0015462822601991

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Other articles of this Issue 2/2023

Fluid Flow to a Well through a Radial Hydraulic Fracture in a Porous Medium at Constant Flow Rate

Drag and Heat Transfer of Metal and Oxide Agglomerates in a Flow of Solid-Propellant Combustion Products

Evolution of Viscous Electrically Conducting Fluid Flow on a Rotating Wall in the Presence of a Magnetic Field with Account for the Induction and Diffusion Effects

Investigation of Flow and Spectral Characteristics in a Flow-Flow Hydrodynamic Generator of the Flat Type with Changes in the Degree of Flow Blockage

Experimental Study of Energy Separation in Compressible Air Cross Flow Over a Pair of Side-by-Side Circular Cylinders

Comparison of the Eulerian and Lagrangian Approaches to Studying the Peculiarities of the Interstellar Dust Distribution in the Heliosphere in the Framework of the Cold Gas Model

Premium Partners