Analysis of buoyancy driven flow inside a vertical filter chamber

Modisawatsona Lucas Lekoko, Shina Daniel Oloniiju and Gabriel Magalakwe

Chaos, Solitons & Fractals, 2022, vol. 161, issue C

Abstract: Designs based on scientific evidence play an essential role when engineering machinery. The current case study seeks an alternative way of filtering particles using a permeable surface. The filter is designed so that the effects of heat from a permeable bottom wall create a force that drives permeates out of the filter chamber. The model follows the mass conservation, incompressible Navier-Stokes and the energy conservation equations. Effects of parameters arising from flow dynamics and heat distribution are studied to better understand the theory behind the filtrations process. Graphical representations of skin friction and Nusselt number inside the filter chamber are plotted against filtration dynamics parameters. We found that more permeates are produced when the internal energy is low since the system loses internal temperature when less dense fluid, which possesses heat, is withdrawn from the chamber. In addition, the chamber volume increase permeates outflow since it enhances the pulling effects of the buoyancy force. It is found that increasing the Richardson number enhances the buoyancy forces and viscous effects; thus, decreasing permeates outflow velocity and eventually reduces wall drag coefficient. The wall drag coefficients on the left and right vertical walls have extrema towards the bottom of the filter chamber, in the region, 0 Keywords: Steady filtration process; Vertical filter chamber; Buoyancy driven flow; Permeable surface; Spectral paired quasilinearization method (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077922005021
Full text for ScienceDirect subscribers only

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:eee:chsofr:v:161:y:2022:i:c:s0960077922005021

DOI: 10.1016/j.chaos.2022.112292

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().