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Diffusion Equations of the Electric Charges and Magnetic Flux

DOI: 10.4236/jemaa.2024.165005, PP. 69-83

Keywords: Diffusion Coefficient, Diffusion Equation, Electric Charge, Magnetic Flux, Electromagnetic Waves, Electric Field, Magnetic Field

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Abstract:

Innovative definitions of the electric and magnetic diffusivities through conducting mediums and innovative diffusion equations of the electric charges and magnetic flux are verified in this article. Such innovations depend on the analogy of the governing laws of diffusion of the thermal, electrical, and magnetic energies and newly defined natures of the electric charges and magnetic flux as energy, or as electromagnetic waves, that have electric and magnetic potentials. The introduced diffusion equations of the electric charges and magnetic flux involve Laplacian operator and the introduced diffusivities. Both equations are applied to determine the electric and magnetic fields in conductors as the heat diffusion equation which is applied to determine the thermal field in steady and unsteady heat diffusion conditions. The use of electric networks for experimental modeling of thermal networks represents sufficient proof of similarity of the diffusion equations of both fields. By analysis of the diffusion phenomena of the three considered modes of energy transfer; the rates of flow of these energies are found to be directly proportional to the gradient of their volumetric concentration, or density, and the proportionality constants in such relations are the diffusivity of each energy. Such analysis leads also to find proportionality relations between the potentials of such energies and their volumetric concentrations. Validity of the introduced diffusion equations is verified by correspondence their solutions to the measurement results of the electric and magnetic fields in microwave ovens.

References

[1]  Abdelhady, S. (2023) Proper Understanding of the Natures of Electrons, Protons, and Modifying Redundancies in Electro-Magnetism. Journal of Electromagnetic Analysis and Applications, 15, 59-72.
https://doi.org/10.4236/jemaa.2023.155005
[2]  Jewett, J. and Serway, A. (2008) Physics for Scientists and Engineers with Modern Physics. 7th Edition, Thomson, 641-659.
[3]  Lienhard, J.A. (2020) Heat Transfer Textbook. Phlogiston Press.
[4]  Digele, G., Lindenkreuz, S. and Kasper, E. (1997) Fully Coupled Dynamic Electro-Thermal Simulation. IEEE Transactions on Very Large Scale Integration (VLSI) Systems, 5, 250-257.
https://doi.org/10.1109/92.609867
[5]  Tane, Z. and Erol, M. (2008) Student’s Difficulties in Understanding Concepts Magnetic Field Strength, Magnetic Flux and Density of Magnetization. Latin-American Journal of Physics Education, 2, 184-191.
[6]  Faraday, M. (1846) Experimental Researches in Electricity-Nineteenth Series. Philosophical Transactions of the Royal Society of London, 136, 1-20.
[7]  Dutt, R.P. and Brewer, R.C. (1965) On the Theoretical Determination of the Temperature Field in Orthogonal Machining. International Journal of Production Research, 4, 91-114.
https://doi.org/10.1080/00207546508919968
[8]  Rosen, J. (1980) Redundancy and Superfluity for Electromagnetic Fields and Potentials. American Journal of Physics, 48, 1071-1073.
https://doi.org/10.1119/1.12289
[9]  Nakamura, T., Nishioka, M., Tomitsuka, K., Yoshida, H., Sakuma, H. and Uemura, S. (2023) Comparison between Magnetic Fields and Electric Fields of Microwave Radiation for Heating the Solder Used to Connect a Transistor to a Printed Circuit Board. Processes, 11, Article No. 491.
https://doi.org/10.3390/pr11020491
[10]  Stevens, F. and Charles, F. (1965) The Six Core Theories of Modern Physics. MIT Press.
[11]  Ma, Y., Lan, L., Jiang, W., Sun, F. and He, S. (2013) A Transient Thermal Cloak Experimentally Realized through a Rescaled Diffusion Equation with Anisotropic Thermal Diffusivity. NPG Asia Materials, 5, e73.
https://doi.org/10.1038/am.2013.60
[12]  Moon, P. and Spencer, D.E. (1961) Field Theory for Engineers. Van Nostrand, Chap. 9.
[13]  Abdelhady, S. (2018) Review of Thermodynamics of Systems That Embrace Transfer of Electric and Magnetic Energies. Journal of Physical Science and Application, 8, 1-12.
https://doi.org/10.17265/2159-5348/2018.01.001
[14]  Wunsche, S. (1996) Simulator Coupling for Electro-Thermal Simulation of Integrated Circuits. Proceedings 2nd Therminic Workshop, Budapest, 25-27 September 1996, 89-93.
[15]  Buttiker, M. (1993) Capacitance, Admittance, and Rectification Properties of Small Conductors. Journal of Physics: Condensed Matter, 5, 9361-9378.
https://doi.org/10.1088/0953-8984/5/50/017
[16]  Wisniak, J. (2011) Conservation of Energy Readings on the Origins of the First Law of Thermodynamics. Part II. Educación Química, 19, 216-225.
https://doi.org/10.22201/fq.18708404e.2008.3.25835
[17]  AbdelHady, S. (2017) Thermodynamics: Fundamentals and Its Application in Science, Auris Reference. An International Text Book in Science.
[18]  Tripathi, D., Jhorar, R., Anwar Bég, O. and Kadir, A. (2017) Electro-Magneto-Hydrodynamic Peristaltic Pumping of Couple Stress Biofluids through a Complex Wavy Micro-Channel. Journal of Molecular Liquids, 236, 358-367.
https://doi.org/10.1016/j.molliq.2017.04.037
[19]  Tweney, R.D. (2006) Toward a Cognitive-Historical Understanding of Michael Faraday’s Research: Editor’s Introduction. Perspectives on Science, 14, 1-6.
https://doi.org/10.1162/posc.2006.14.1.1
[20]  Abdelhady, S. (2022) Proper Understanding of the Natures of Electric Charges and Magnetic Flux. In: Song, H.Z., Yeap, K.H. and Goh, M.W., Eds., Electromagnetic Field in Advancing Science and Technology, IntechOpen, London, 17-35.
[21]  Abdelhady, S. and Abdelhady, M.S. (2015) An Entropy Approach to the Natures of the Electric Charge and Magnetic Flux. Journal of Electromagnetic Analysis and Applications, 7, 265-275.
https://doi.org/10.4236/jemaa.2015.711028
[22]  Ramesh, K., Tripathi, D., Bhatti, M.M. and Khalique, C.M. (2020) Electro-Osmotic Flow of Hydromagnetic Dusty Viscoelastic Fluids in a Microchannel Propagated by Peristalsis. Journal of Molecular Liquids, 314, Article ID: 113568.
https://doi.org/10.1016/j.molliq.2020.113568
[23]  Muhammad Zin, N., Mohamed Jenu, M.Z. and Ahmad Po’ad, F. (2011). Measurements and Reduction of Microwave oven Electromagnetic Leakage. 2011 IEEE International RF & Microwave Conference, Seremban, 12-14 December 2011, 1-4.
https://doi.org/10.1109/rfm.2011.6168681
[24]  Decat, G. and Tichelen, P.V. (1995) Electric and Magnetic Fields of Domestic Microwave Ovens Quantified under Different Conditions. Journal of Microwave Power and Electromagnetic Energy, 30, 102-108.
https://doi.org/10.1080/08327823.1995.11688264
[25]  Henry, J.R. (2020) Modern Introduction to Differential Equations. 3rd Edition, Elsevier.
[26]  Nakamura, T., Nishioka, M., Tomitsuka, K., Yoshida, H., Sakuma, H. and Uemura, S. (2023) Comparison between Magnetic Fields and Electric Fields of Microwave Radiation for Heating the Solder Used to Connect a Transistor to a Printed Circuit Board. Processes, 11, Article No. 491.
https://doi.org/10.3390/pr11020491
[27]  Houšová, J. and Hoke, K. (2002) Temperature Profiles in Dough Products during Microwave Heating with Susceptors. Czech Journal of Food Sciences, 20, 151-160.
https://doi.org/10.17221/3526-cjfs

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