Búsqueda de la teoría electromagnocapilar mediante ecuaciones diferenciales parciales no lineales
DOI:
https://doi.org/10.57063/ricay.v2i2.46Keywords:
Partial differential equation, Maxwell equation, Richards equation, equation VillarAbstract
The present research aims to build the Electromagnocapillary theory and an unknown equation from a unification of Maxwell's equations and Richards' equations, resulting in the unknown equation that for now we will call Villar's equation expressed in the form of a nonlinear partial differential equation (PDE). This formulation is due to the phenomena that occur at the contact boundary of water and electromagnetic waves at the (soil-air) boundary. Theoretically, this phenomenon occurs at the moment of water infiltration into the soil and some electromagnetic wave interferes with the infiltration, causing disturbances that generate an electromagnocapillary pulse.
References
ARELLANO TANORI (2001). Sistema para la medición de la permitividad dieléctrica compleja en líquidos en el rango de audiofrecuencia.
Banco Central de Reserva del Perú. (2022). Información estadística de variables económicas. Obtenido del enlace: https://www.bcrp.gob.pe/estadisticas.html
Brown (2002). Henry Darcy and the making of a law. Water Resources Research, 38(7), 11-1. DOI: https://doi.org/10.1029/2001WR000727
Buckingham (1914). On physically similar systems; illustrations of the use of dimensional equations. Physical review, 4(4), 345. DOI: https://doi.org/10.1103/PhysRev.4.345
Fontal, T. Suárez, M. Reyes (2005). El espectro electromagnético y sus aplicaciones. Escuela de la Ingeniería, 1, 24.
Guajardo (2019). holographic applications of the (Doctoral dissertation, Universidad de Talca Chile).
Maxwell. The scientific papers of james clerk maxwell. Courier Corporation, 2013
Maxwell. The Scientific Papers of James Clerk Maxwell.. University Press, 1890.
Quintero (2018). electrodinámica geométrica (doctoral dissertation, universidad nacional autónoma de méxico).
Richards Capillary conduction of liquids through porous mediums. Physics, v. 1, n. 5, p. 318-333, 1931. DOI: https://doi.org/10.1063/1.1745010
Richardson (1956). Chemical effects of photonuclear reactions in the propyl bromides. Iowa State University. DOI: https://doi.org/10.2172/4324354
Topp, J. L Davis, and A.P. Annan (1980). Electromagnetic determination of soil water content: Measurements in coaxial transmission lines.Water resources research, 16(3), 574-582. DOI: https://doi.org/10.1029/WR016i003p00574
Villar, J. P. V. S. da Cunha, (2021, October). Controladores por modo deslizante para a umidade do solo modelado por equação diferencial parcial parabólica não-linear. In Simpósio Brasileiro de Automação Inteligente-SBAI (Vol. 1, No. 1).
Villar; J.O GARCÍA and HIYO, Sheyla Yassira Meneses. Diseño y construcción de un sistema automatizado de control de bombas de agua en un cultivo hidropónico en el entorno Arduino, UNSCH–Ayacucho. Revista Eciperu, 2020.