Instability of Viscoelastic Liquid Sheets in a Transverse Electric Field

Lu Niu and Xiangdong Deng ()
Additional contact information
Lu Niu: School of Mathematics and Statistics, Beijing Jiaotong University, Beijing 100044, China
Xiangdong Deng: School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100181, China

Mathematics, 2022, vol. 10, issue 19, 1-14

Abstract: The temporal linear instability of a viscoelastic liquid sheet moving around an inviscid gas in a transverse electrical field is analyzed. The fluid is described by the leaky dielectric model, which is more complex than existing models and enables a characterization of the liquid electrical properties. In addition, the liquid is assumed to be viscoelastic, and the dimensionless dispersion relation of the sinuous and varicose modes between the wavenumber and the temporal growth rate can be derived as a 3 × 3 matrix. According to this relationship, the effects of the liquid properties on the sheet instability are determined. The results suggest that, as the electrical Euler number and the elasticity number increase and the time constant ratio decreases, the sheet becomes more unstable. Finally, an energy budget approach is adopted to investigate the instability mechanism for the sinuous mode.

Keywords: linear instability analysis; viscoelastic liquid sheet; leaky dielectric model; energy approach (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/19/3488/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/19/3488/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:19:p:3488-:d:923902

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().