Top

Fluid Dynamics

Published in:

01-07-2020

Experimental Study of Stable Circular Hydraulic Jumps

Authors: A. Asadi, S. M. Malek Jafarian, A. R. Teymourtash

Published in: Fluid Dynamics | Issue 4/2020

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

search-config

AI-assisted search

Off

Abstract

The geometry of a downstream obstacle is one of the major parameters affecting the stability range of circular hydraulic jumps and, yet, it has not been adequately addressed by researchers. The present study investigates the effects of the downstream obstacle geometry and the parameters like the flow rate, the jet diameter, and the downstream obstacle height on the stability range of circular hydraulic jumps. Its findings indicate that an increase in the fluid jet diameter leads to the narrowing of the stability range of circular jumps. In addition, an increase in the downstream obstacle height produces a reduction of the hydraulic jump radius and its stability range. The results also show that in the presence of a square downstream obstacle the stability range of circular jumps is less than that in the case of a triangular downstream obstacle and greater than in the case of a circular downstream obstacle.

previous article Effect of Convection on Crystal Growth of Calcium Phosphate in a Thermostat under Terrestrial and Space Conditions

next article Control of a Detonation Wave in a Channel with Obstacles Using Preliminary Gas Mixture Preparation

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

In classifying the types of flows basing on the Froude number, the critical flow is the flow with a Froude number equal to one. The Froude number (Fr = \({v}\)/c) is the fluid velocity \({v}\) divided by the wave velocity in shallow water c = \(\sqrt {gy} \). If the fluid velocity is higher than the wave velocity, the flow is supercritical and it will carry the wave. So, the wave cannot move upstream. In this case, any phenomenon that occurs in the stream affects only its downstream. On the other hand, if the fluid velocity is lower than the wave velocity, the flow is subcritical and the wave can move upstream. In this case, any phenomenon that occurs in the flow also affects its upstream.

C. Avedisian and Z. Zhao, “The circular hydraulic jump in low gravity,” Proc. Roy. Soc. London. Ser. A 456, 2127–2151 (2000).CrossRef

R. Kate, P. Das, and S. Chakraborty, “An investigation on non-circular hydraulic jumps formed due to obliquely impinging circular fluid jets,” Exp. Therm. Fluid Sci. 32, 1429–1439 (2008).CrossRef

Lord Rayleigh, “On the theory of long waves and bores,” Proc. Roy. Soc. London. Ser. A. 90(619), 324–328 (1914).

G. Birkhoff and E. Zarantonello, Jets, Wakes, and Cavities (Academic Press, New York, 1957).MATH

E. Watson, “The radial spread of a fluid jet over a horizontal plane,” J. Fluid Mech. 20, 481-499 (1964).ADSMathSciNetCrossRef

A. Craik, R. Latham, M. Fawkes, and P. Gribbon, “The circular hydraulic jump,” J. Fluid Mech. 112, 347–362 (1981).ADSCrossRef

M. Errico, A study of the interaction of fluid jets with solid surfaces (University of California, San Diego, 1986).

X. Liu and J. H. Lienhard, “The hydraulic jump in circular jet impingement and in other thin fluid films,” Exp. Fluids. 15, 108–116 (1993).CrossRef

J. W. Bush and J. M. Aristoff, “The influence of surface tension on the circular hydraulic jump,” J. Fluid Mech. 489, 229–238 (2003).ADSMathSciNetCrossRef

10.

C. Ellegaard, A. E. Hansen, A. Haaning, and T. Bohr, “Experimental results on flow separation and transitions in the circular hydraulic jump,” PhysicaScripta105 (1996).

11.

J. W. Bush, J. M. Aristoff, and A. Hosoi, “An experimental investigation of the stability of the circular hydraulic jump,” J. Fluid Mech. 558, 33–52 (2006).ADSCrossRef

12.

T. Bohr, P. Dimon, and V. Putkaradze, “Shallow-water approach to the circular hydraulic jump,” J. Fluid Mech. 254, 635–648 (1993).ADSCrossRef

13.

T. Bohr, V. Putkaradze, and S. Watanabe, “Averaging theory for the structure of hydraulic jumps and separation in laminar free-surface flows,” Phys. Rev. Lett. 79, 1038 (1997).ADSCrossRef

14.

F. Higuera, “The hydraulic jump in a viscous laminar flow,” J. Fluid Mech. 274, 69–92 (1994).ADSMathSciNetCrossRef

15.

K. Yokoi and F. Xiao, “A numerical study of the transition in the circular hydraulic jump,” Phys. Lett. A257, 153–157 (1999).ADSCrossRef

16.

K. Yokoi and F. Xiao, “Mechanism of structure formation in circular hydraulic jumps: Numerical studies of strongly deformed free-surface shallow flows,” Phys. D: Nonlinear Phenomena161, 202–219 (2002).ADSMathSciNetCrossRef

17.

V. Ferreira, M. Tome, N. Mangiavacchi, A. Castelo, J. Cuminato, A. Fortuna, and S. Mckee, “High-order upwinding and the hydraulic jump,” Int. J. Numer. Methods Fluids39, 549–583 (2002).ADSMathSciNetCrossRef

18.

S. Watanabe, V. Putkaradze, and T. Bohr, “Integral methods for shallow free-surface flows with separation,” J. Fluid Mech. 480, 233–265 (2003).ADSMathSciNetCrossRef

19.

A. K. Ray and J. K. Bhattacharjee, “Standing and travelling waves in the shallow-water circular hydraulic jump,” Phys. Lett. A 371, 241–248 (2007).ADSCrossRef

20.

J. Mikielewicz and D. Mikielewicz, “A simple dissipation model of circular hydraulic jump,” Int. J. Heat Mass Transfer52, 17–21 (2009).CrossRef

21.

M. Passandideh-Fard, A. R. Teymourtash, and M. Khavari, “Numerical study of circular hydraulic jump using volume-of-fluid method,” J. Fluids Eng. 133, 011401 (2011).CrossRef

22.

C. W. Hirt and B. D. Nichols, “Volume of fluid (VOF) method for the dynamics of free boundaries,” J. Comput. Phys. 39, 201–225 (1981).ADSCrossRef

23.

C. Ellegaard, A. E. Hansen, A. Haaning, K. Hansen, A. Marcussen, T. Bohr, J. L. Hansen, and S. Watanabe, “Cover illustration: Polygonal hydraulic jumps,” Nonlinearity12, 1 (1999).ADSMathSciNetCrossRef

24.

A. R. Teymourtash and M. Mokhlesi, “Experimental investigation of stationary and rotational structures in non-circular hydraulic jumps,” J. Fluid Mech.762, 344–360 (2015).ADSCrossRef

25.

A. R. Kasimov, “A stationary circular hydraulic jump, the limits of its existence and its gasdynamic analogue,” J. Fluid Mech. 601, 189–198 (2008).ADSMathSciNetCrossRef

26.

E. A. Martens, S. Watanabe, and T. Bohr, “Model for polygonal hydraulic jumps,” Phys. Rev. E 85, 036316 (2012).ADSCrossRef

Title: Experimental Study of Stable Circular Hydraulic Jumps
Authors: A. Asadi
S. M. Malek Jafarian
A. R. Teymourtash
Publication date: 01-07-2020
Publisher: Pleiades Publishing
Published in: Fluid Dynamics / Issue 4/2020
Print ISSN: 0015-4628
Electronic ISSN: 1573-8507
DOI: https://doi.org/10.1134/S0015462820040035

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 4/2020

Numerical Investigation of the Transient Nature of a Laminar Separation Bubble in Hypersonic Flow

Interaction of Stationary Disturbances with Tollmien—Schlichting Waves in a Supersonic Boundary Layer

Collapse Dynamics of Hemispherical Cavitation Bubble in Contact with a Solid Boundary

Effect of Convection on Crystal Growth of Calcium Phosphate in a Thermostat under Terrestrial and Space Conditions

Experimental Investigation of Transonic Buffet Control on a Wing Airfoil Using Tangential Jet Blowing

Statistical Description of Intermittency in the Transition Region at the Low Degree of Flow Turbulence

Premium Partners