Método de Líneas para un Problema de Bingham en Geometría Cilíndrica

GERMÁN ARIEL TORRES; CRISTINA TURNER

Santa Fe

Congreso; LII Reunion Anual de Comunicaciones Cientificas de la Union Matematica Argentina; 2002

Universidad Nacional del Litoral

In this work a method of straight lines for a Bingham problem in cylindrical geometry is developed. A Bingham fluid has viscosity properties that produce a separation into two regions, a rigid zone and a viscous zone. We propose a method of lines with the time as a discrete variable. We prove that the method is well defined for all times, a monotone property, qualitative behaviours of the solution, and a convergence theorem. A numerical calculation is included to illustrate the theoretical results.