Búsqueda de la teoría electromagnocapilar mediante ecuaciones diferenciales parciales no lineales

Authors

  • José Luis Huayanay Villar Universidad del Estado de Río de Janeiro-UERJ, RJ, Brasil

Keywords:

Partial differential equation, Maxwell equation, Richards equation, equation Villar

Abstract

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.

Buckingham (1914). On physically similar systems; illustrations of the use of dimensional equations. Physical review, 4(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.

Richardson (1956). Chemical effects of photonuclear reactions in the propyl bromides. Iowa State University.

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.

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.

Published

2024-06-13

How to Cite

Huayanay Villar, J. L. (2024). Búsqueda de la teoría electromagnocapilar mediante ecuaciones diferenciales parciales no lineales. Revista De Investigación Científica De La UNF – Aypate, 2(2), 91–97. Retrieved from https://aypate.revista.unf.edu.pe/index.php/aypate/article/view/46

Issue

Section

Artículo Original

Most read articles by the same author(s)