Extension of Maxwell's Equations for Non-Stationary Magnetic Fluids Using Gauss's Divergence Theorem
Journal Article
Mohammed Bouzidi a,b,*, Abdelfatah NASRI c, Mohamed Ben Rahmoune a,d, Oussama Hafsi e, Dessalegn Bitew Aeggegn f,** , Sherif S. M. Ghoneim g, Enas Ali h,i, Ramy N. R. Ghaly j,k
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Submitted: Apr 26, 2025
Institute of Technology
Electrical and Computer Engineering
Abstract Preview:
The work presented in this paper focuses on formulating the development of time-dependent electromagneticfield laws through the application of Gauss’s divergence theorem. The first part of the discussion looks at thebasic ideas of electromagnetism. It focuses on how classical formulations of the laws of electromagnetism can beadapted to account for non-stationary conditions, especially regarding magnetic fluids that don’t conduct elec-tricity. It is suggested that employing Gauss’s divergence theorem could help improve the computational analysisof these generalized equations, which would make them more useful in magnetic fluid dynamics. The paperexamines the intricate interactions between non-conductive particles and conductive fluids under magneticfields. By putting these interactions into a single theoretical framework, this work aims to help us understandnon-stationary electromagnetic phenomena and how they affect many different scientific and engineering fields.The concluding section of the study examines the prospective practical applications of these extended equations.They could enable the development of more advanced electromagnetic devices and systems. Creating a strong setof analytical tools that can find new scientific paths and useful applications is the main goal of the study,particularly in the areas of electromagnetic induction and fluid dynamics. This research offers potential forsubstantial progress in both theoretical comprehension and technological advancement, The proposed method isapplicable to real-world systems such as ferrofluid-based cooling, magnetic dampers, plasma generators, andsmart electromagnetic devices. These applications demonstrate the practical benefits of coupling field behaviorwith boundary dynamics using Gauss’s theorem.
Keywords: Gauss theorem, Non-conductive;Magnetic, Non-stationary, Fluids, Induction
Full Abstract:
The work presented in this paper focuses on formulating the development of time-dependent electromagneticfield laws through the application of Gauss’s divergence theorem. The first part of the discussion looks at thebasic ideas of electromagnetism. It focuses on how classical formulations of the laws of electromagnetism can beadapted to account for non-stationary conditions, especially regarding magnetic fluids that don’t conduct elec-tricity. It is suggested that employing Gauss’s divergence theorem could help improve the computational analysisof these generalized equations, which would make them more useful in magnetic fluid dynamics. The paperexamines the intricate interactions between non-conductive particles and conductive fluids under magneticfields. By putting these interactions into a single theoretical framework, this work aims to help us understandnon-stationary electromagnetic phenomena and how they affect many different scientific and engineering fields.The concluding section of the study examines the prospective practical applications of these extended equations.They could enable the development of more advanced electromagnetic devices and systems. Creating a strong setof analytical tools that can find new scientific paths and useful applications is the main goal of the study,particularly in the areas of electromagnetic induction and fluid dynamics. This research offers potential forsubstantial progress in both theoretical comprehension and technological advancement, The proposed method isapplicable to real-world systems such as ferrofluid-based cooling, magnetic dampers, plasma generators, andsmart electromagnetic devices. These applications demonstrate the practical benefits of coupling field behaviorwith boundary dynamics using Gauss’s theorem.
Keywords: Gauss theorem, Non-conductive;Magnetic, Non-stationary, Fluids, Induction