Extension of the Fully Lagrangian Approach for the Integration of the Droplet Number Density on Caustic Formations

Andreas Papoutsakis ()
Additional contact information
Andreas Papoutsakis: City University of London

Chapter Chapter 23 in Integral Methods in Science and Engineering, 2019, pp 297-308 from Springer

Abstract: Abstract The spatial structure of the agglomeration regions (caustics) formed by inertia droplets and particles in dispersed flows is studied. The Fully Lagrangian Approach (FLA) is extended to a second order FLA that accounts for the Hessian of the deformed dispersed phase continuum. The calculation of the Hessian matrix along the droplet trajectory is also presented. The second order FLA adresses the singularities of the standard FLA and demonstrates the integrability of the point-wise number density of the standard FLA on caustic formations. Furthermore, with the approach presented here the FLA number density can be related to a defined finite length scale needed for the introduction of the FLA to turbulent flows in the LES context.

Date: 2019
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

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:spr:sprchp:978-3-030-16077-7_23

Ordering information: This item can be ordered from
http://www.springer.com/9783030160777

DOI: 10.1007/978-3-030-16077-7_23

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().