Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Introduction Read chapter Read first chapter

2014 | OriginalPaper | Chapter

4. Interaction Between Two Parallel Plates in Flow

Author : Laibing Jia

Published in: The Interaction Between Flexible Plates and Fluid in Two-dimensional Flow

Publisher: Springer Berlin Heidelberg

Log in

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

search-config
loading …

Abstract

This chapter discusses the interaction between two parallel plates in a two-dimensional flow. The coupling of two parallel plates belongs to one of the common interface coupling problems. In this chapter, flexible filaments and flowing soap film are employed to study their coupling. A simplified model is proposed to describe the coupling problem. The dispersion relationship is obtained by a temporal linear instability analysis. Two special cases of flapping coupling, i.e. two identical filaments having the same length and two filaments having different lengths, are studied in detail. Relevant experiments are carried out in a soap film tunnel and the stable and unstable modes are observed. Comparison between theoretical predictions and experimental results is discussed in detail.

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
previous chapter Flapping of a Single Plate in Uniform Flow
next chapter Interaction Between Two Tandem Plates in Flow
Literature
Argentina M, Mahadevan L (2005) Fluid-flow-induced flutter of a flag. Proc Nat Acad Sci 102(6):1829–1834CrossRef
Burmann W (1975) Water hammer in coaxial pipe systems. J Hydraulics Div 101(6):699–715
Chen XP, Jia LB, Yin XZ, Cheng JS, Lu J (2005), Spraying modes in coaxial jet electrospray with outer driving liquid. Phys Fluids 17(3):032,101
Chen JN, Lin SP (2002) Instability of an annular jet surrounded by a viscous gas in a pipe. J Fluid Mech 450:235–258CrossRefMATH
Evangelinos C, Karniadakis GEM (1999) Dynamics and flow structures in the turbulent wake of rigid and flexible cylinders subject to vortex-induced vibrations. J Fluid Mech 400:91–124CrossRefMATHMathSciNet
Farnell DJJ, David T, Barton DC (2004b) Coupled states of flapping flags. J Fluids Struct 19(1): 29–36
Ginzburg VL (1989) Applications of electrodynamics in theoretical physics and astrophysics. Gordon and Breach, New York
Grotberg JB, Jensen OE (2004) Biofluid mechanics in flexible tubes. Annu Rev Fluid Mech 36: 121–147
Hagerty WW, Shea JF (1955) A study of the stability of plane fluid sheets. J Appl Mech 22(3): 509–514
Hu HH, Patankar N (1995) Non-axisymmetrical instability of core-annular flow. J Fluid Mech 290:213–224CrossRefMATH
Huang L (1995) Flutter of cantilevered plates in axial flow. J Fluids Struct 9(2):127–147CrossRef
Ivanov IB (1988) Thin liquid films. Marcel Dekker, New York
Li F, Yin XY, Yin XZ (2006) Instability analysis of a coaxial jet under a radial electric field in the nonequipotential case. Phys Fluids 18(3):037,101
Lopez-Herrera JM, Barrero A, Lopez A, Loscertales IG, Marquez M (2003) Coaxial jets generated from electrified taylor cones. scaling laws. J Aerosol Sci 34(5):535–552CrossRef
Loscertales IG, Barrero A, Guerrero I, Cortijo R, Marquez M, Ganan-Calvo AM (2002) Micro/nano encapsutation via electrified coaxial liquid jets. Science 295(5560):1695–1698CrossRef
Lynch DG, Waters SL, Pedley TJ (1996) Flow in a tube with non-uniform, time-dependent curvature: governing equations and simple examples. J Fluid Mech 323:237–265CrossRefMATHMathSciNet
Maa YF, Nguyen PAT, Hsu SW (1998) Spray-drying of air-liquid interface sensitive recombinant human growth hormone. J Pharm Sci 87(2):152–159CrossRef
Rayleigh L (1878) On the instability of jets. Proc Lond Math Soc 10(1):4–13CrossRef
Shelley M, Vandenberghe N, Zhang J (2005) Heavy flags undergo spontaneous oscillations in flowing water. Phys Rev Lett 94(9):094,302
Shen J, Li X (1996) Instability of an annular viscous liquid jet. Acta Mech 114(1–4):167–183CrossRefMATH
Smith BW, Chase JG, Nokes RI, Shaw GM, Wake G (2004) Minimal haemodynamic system model including ventricular interaction and valve dynamics. Med Eng Phys 26(2):131–139CrossRef
Squire HB (1953) Investigation of the instability of a moving liquid film. Br J Appl Phys 4(6): 167–169
Stanley S, Sarkar S (1997) Simulations of spatially developing two-dimensional shear layers and jets. Theoret Comput Fluid Dyn 9(2):121–147CrossRefMATH
York JL, Stubbs HE, Tek MR (1953) The mechanism of disintegration of liquid sheets. Trans ASME 75(7):1279–1286
Zhang J, Childress S, Libchaber A, Shelley M (2000) Flexible filaments in a flowing soap film as a model for one-dimensional flags in a two-dimensional wind. Nature 408(6814):835–838CrossRef
Zhu L, Peskin CS (2003) Interaction of two flapping filaments in a flowing soap film. Phys Fluids 15(7):1954–1960CrossRefMathSciNet
Metadata
Title
Interaction Between Two Parallel Plates in Flow
Author
Laibing Jia
Copyright Year
2014
Publisher
Springer Berlin Heidelberg
Book
The Interaction Between Flexible Plates and Fluid in Two-dimensional Flow

Print ISBN: 978-3-662-43674-5

Electronic ISBN: 978-3-662-43675-2

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-662-43675-2_4

Premium Partners

    Image Credits