On the numerical solution of a rising sphere in a Newtonian fluid with temperature-dependent viscosity

• Autor: Zambrano, Marcos
• Formato: artículo
• Fecha de Publicación: 2019
• Institución: Universidad Nacional de Trujillo
• Repositorio: Revistas - Universidad Nacional de Trujillo
• Lenguaje: inglés
• OAI Identifier: oai:ojs.revistas.unitru.edu.pe:article/2623
• Enlace del recurso: https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2623
• Nivel de acceso: acceso abierto
• Materia: Newtonian fluid; asymptotic structure; element finite method; contact surface; Fluído newtoniano; estructura asintótica; método del elemento finito; superficie de contacto

In this work, we present some numerical results about the problem of a rising hot solid sphere immersed in a Newtonian fluid which viscosity depends on the temperature. The model formulated to solve the problem considers two dimensionless parameters: The Peclet number, Pe and a parameter related with the viscosity, e. Small and large variations on e lead to interesting results segregated into two regimes which exhibit an asymptotic structure.To carry out the computations to solve the proposed model, the element finite method was used along with a non-slip boundary condition for the contact surface between the sphere and the fluid and the results obtained were compared to those shown recently in papers related wherein contact surface has a slip-boundary condition prescribed.