Mathematical model for expanding suitable areas for fish survival in a polluted river by using the solution of the two coupled pollution and aeration equations

Saleh, Ahmed; Ibrahim, Fayez N.; Sharaf, M. A. M.

doi:10.1007/s40808-023-01868-2

Model. Earth Syst. Environ.

2023

DOI: 10.1007/s40808-023-01868-2

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Mathematical model for expanding suitable areas for fish survival in a polluted river by using the solution of the two coupled pollution and aeration equations

Ahmed Saleh,

Fayez N. Ibrahim,

M. A. M. Sharaf

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2024

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Mathematical Modeling of Oxygen Transfer Using a Bubble Generator at a High Reynolds Number: A Partial Differential Equation Approach for Air-to-Water Transfer

Constantin,

Dobre,

Oprea

2024

Inventions

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This paper presents the mathematical modeling of the oxygen transfer process using partial differential equations (PDEs). This process is crucial in various environmental and engineering applications, such as wastewater treatment, aeration systems, and natural water bodies, in order to maintain water quality. The authors solved the typical PDE for describing the change in oxygen concentration over time and present the developed model of the differential equation with the term “source”, indicating that the model could be used to optimize oxygen transfer in various environmental and engineering applications, contributing to improved water quality and system efficiency.

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Mathematical Modeling of Oxygen Transfer Using a Bubble Generator at a High Reynolds Number: A Partial Differential Equation Approach for Air-to-Water Transfer

Constantin,

Dobre,

Oprea

2024

Inventions

View full text Add to dashboard Cite

show abstract

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Mathematical model for expanding suitable areas for fish survival in a polluted river by using the solution of the two coupled pollution and aeration equations

Cited by 1 publication

References 12 publications

Mathematical Modeling of Oxygen Transfer Using a Bubble Generator at a High Reynolds Number: A Partial Differential Equation Approach for Air-to-Water Transfer

Mathematical Modeling of Oxygen Transfer Using a Bubble Generator at a High Reynolds Number: A Partial Differential Equation Approach for Air-to-Water Transfer

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