A study of continuous dependence and symmetric properties of double diffusive convection: Forchheimer model

• Autores: Ali, Ali Hasan; Meften, Ghazi Abed; Bazighifan, Omar; Iqbal, Mehak; Elaskar, Sergio Amado; Awrejcewicz, Jan
• Año de publicación: 2022
• Idioma: inglés
• Tipo de recurso: artículo
• Materia: CONVERGENCE; DOUBLE DIFFUSIVE; FORCHHEIMER MODEL; SALINIZATION; STABILITY; VARIABLE VISCOSITY
• Institución: Consejo Nacional de Investigaciones Científicas y Técnicas

In this recent work, the continuous dependence of double diffusive convection was studied theoretically in a porous medium of the Forchheimer model along with a variable viscosity. The analysis depicts that the density of saturating fluid under consideration shows a linear relationship with its concentration and a cubic dependence on the temperature. In this model, the equations for convection fluid motion were examined when viscosity changed with temperature linearly. This problem allowed the possibility of resonance between internal layers in thermal convection. Furthermore, we investigated the continuous dependence of this solution based on the changes in viscosity. Throughout the paper, we found an “a priori estimate” with coefficients that relied only on initial values, boundary data, and the geometry of the problem that demonstrated the continuous dependence of the solution on changes in the viscosity, which also helped us to state the relationship between the continuous dependence of the solution and the changes in viscosity. Moreover, we deduced a convergence result based on the Forchheimer model at the stage when the variable viscosity trends toward a constant value by assuming a couple of solutions to the boundary-initial-value problems and defining a difference solution of variables that satisfy a given boundary-initial-value problem.
Fil: Ali, Ali Hasan. University Of Basrah; Iraq
Fil: Meften, Ghazi Abed. University Of Basrah; Iraq
Fil: Bazighifan, Omar. International Telematic University Uninettuno; Italia. Seiyun University; Yemen. Hadhramout University Of Science And Technology; Yemen
Fil: Iqbal, Mehak. University Of Debrecen; Hungría
Fil: Elaskar, Sergio Amado. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Estudios Avanzados en Ingeniería y Tecnología. Universidad Nacional de Córdoba. Facultad de Ciencias Exactas Físicas y Naturales. Instituto de Estudios Avanzados en Ingeniería y Tecnología; Argentina
Fil: Awrejcewicz, Jan. Lodz University of Technology; Polonia