German Torres & Cristina Turner
Abstract:
In this work we develop a method of straight lines for a
one-dimensional Bingham problem. 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, a monotone
property, and a convergence theorem. Behavior of the numerical
solution and numerical experiments are presented at the end
of this work.
Submitted December 15, 2001. Published June 21, 2002.
Math Subject Classifications: 35A40, 35B40, 35R35, 65M20, 65N40.
Key Words: Bingham fluid, straight lines, non-newtonian fluids.
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German Torres Fa.M.A.F. Universidad Nacional de Cordoba - CIEM-CONICET Medina Allende s/n Cordoba (5000), Argentina e-mail: torres@mate.uncor.edu |
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Cristina Turner Fa.M.A.F. Universidad Nacional de Cordoba - CIEM-CONICET Medina Allende s/n Cordoba (5000), Argentina e-mail: turner@mate.uncor.edu |
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