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363135

Collapse of Air Bubbles as Oxygen Provider in Wastewater Aeration Tank

Article

Last updated: 05 Jan 2025

Subjects

-

Tags

Research and articles conducted by or in which members of the teaching staff

Abstract

This paper aims to investigate the role of surrounding parameters on the collapsing of convective air bubbles in the biological stage of wastewater treatment. The diffusion field is assumed to be quasi-static. The mathematical model describing the current problem consists of diffusion, Fick's, and Laplace equations. The system is solved analytically to obtain the evolution formulae of both the collapsing bubble radius and concentration distribution around the collapsing bubble in terms of surrounding parameters. The validity of this model is examined by applying the resultant evolution equation to fit earlier experimental data of the collapsing of an air bubble in water, and good agreement with this experimental data is achieved. The results show that increasing values of the diffusion coefficient, initial concentration difference, wastewater temperature, and initial void fraction result in a decrease in the collapsing time of the air bubble in wastewater whereas increasing values of the surface tension result in an increase of collapsing time. In addition, the collapsing of the air bubble is sensitive to small changes in the values of the diffusivity coefficient and initial concentration difference which is affected by the rate of oxygen consumption by the microorganisms during the biological stage of wastewater treatment. On the contrary, the collapsing process is slightly affected by changes in the surface tension values.

DOI

10.21608/djs.2024.283104.1162

Keywords

biological treatment, Bubble dynamics, Concentration distribution, Convective air bubble, Wastewater treatment

Authors

First Name

Khaled

Last Name

Mohamed

MiddleName

-

Affiliation

Benha Faculty of Science

Email

kgmohamed@fsc.bu.edu.eg

City

Benha

Orcid

0000-0001-7258-5675

First Name

Ahmed

Last Name

Abd El-Hameed

MiddleName

-

Affiliation

Survey of Natural Resources Department, Environmental Studies and Research Institute, Sadat City University, Sadat, Egypt

Email

ahmed.gamal@esri.usc.edu.eg

City

-

Orcid

-

First Name

Dina

Last Name

Elbassiouny

MiddleName

-

Affiliation

Survey of Natural Resources Department, Environmental Studies and Research Institute, Sadat City University, Sadat, Egypt

Email

dinaelbassiouny242@gmail.com

City

-

Orcid

-

First Name

Shimaa

Last Name

Waheed El Din

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt

Email

shimaa_ezat@yahoo.com

City

-

Orcid

-

Volume

48

Article Issue

2

Related Issue

48317

Issue Date

2024-08-01

Receive Date

2024-04-16

Publish Date

2024-07-14

Page Start

25

Page End

38

Print ISSN

1012-5965

Online ISSN

2735-5306

Link

https://djs.journals.ekb.eg/article_363135.html

Detail API

https://djs.journals.ekb.eg/service?article_code=363135

Order

363,135

Type

Research and Reference

Type Code

1,686

Publication Type

Journal

Publication Title

Delta Journal of Science

Publication Link

https://djs.journals.ekb.eg/

MainTitle

Collapse of Air Bubbles as Oxygen Provider in Wastewater Aeration Tank

Details

Type

Article

Created At

28 Dec 2024