Theoretical model for swirling thin film flows inside nozzles with converging-diverging shapes

Boo Hyoung Bang, Yong Il Kim, Seokgyu Jeong, Youngbin Yoon, Alexander L. Yarin, Suk Goo Yoon

Research output: Contribution to journalArticle

Abstract

A quasi-one-dimensional model was developed to describe a swirling, thin, liquid film inside nozzles with different wall profiles. The model quantifies the effects of swirl strength, initial film thickness, and Reynolds and Weber numbers on the film thickness along the nozzle surface. Moreover, the model allows for a rapid (at least, qualitative) evaluation of different effects, e.g. of the swirl strength and nozzle geometry, and can serve as a benchmark case for the subsequent more involved numerical simulations. Steady-state solutions are presented as a function of various parameters. The effect of the nozzle geometry on film thickness is explored. As swirling flow entered the expanding (diverging) section of the nozzle, film thickness decreased to satisfy continuity (to conserve mass). Conversely, film thickness increased upon entering the contracting (converging) region of the nozzle. Geometric effects controlled film thicknesses much more than other flow parameters. This quasi-one-dimensional model for a swirling thin film can be useful for designing a swirl jet used in various industrial applications.

Original languageEnglish
Pages (from-to)607-616
Number of pages10
JournalApplied Mathematical Modelling
Volume76
DOIs
Publication statusPublished - 2019 Dec 1

Fingerprint

Thin Film Flow
Swirling Flow
Nozzle
Theoretical Model
Film thickness
Nozzles
Thin films
One-dimensional Model
Thin Liquid Films
Swirling flow
Geometry
Conserve
Liquid films
Steady-state Solution
Industrial Application
Industrial applications
Thin Films
Quantify
Benchmark
Numerical Simulation

Keywords

  • Analytical solution
  • Nozzle geometry
  • Reynolds
  • Swirl jet
  • Swirl strength
  • Thin film

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

Cite this

Theoretical model for swirling thin film flows inside nozzles with converging-diverging shapes. / Bang, Boo Hyoung; Kim, Yong Il; Jeong, Seokgyu; Yoon, Youngbin; Yarin, Alexander L.; Yoon, Suk Goo.

In: Applied Mathematical Modelling, Vol. 76, 01.12.2019, p. 607-616.

Research output: Contribution to journalArticle

Bang, Boo Hyoung ; Kim, Yong Il ; Jeong, Seokgyu ; Yoon, Youngbin ; Yarin, Alexander L. ; Yoon, Suk Goo. / Theoretical model for swirling thin film flows inside nozzles with converging-diverging shapes. In: Applied Mathematical Modelling. 2019 ; Vol. 76. pp. 607-616.
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