Transmission Problem Between Two Herschel-Bulkley Fluids
Farid Messelmi (Lama)
TL;DR
This paper investigates the mathematical modeling and analysis of the transmission problem involving two Herschel-Bulkley fluids with differing physical properties, focusing on their interface behavior and flow characteristics.
Contribution
It introduces a new framework for analyzing transmission problems between Herschel-Bulkley fluids with varying parameters, advancing understanding of their interface dynamics.
Findings
Established existence and uniqueness of solutions for the transmission problem.
Derived conditions for the stability of the interface.
Provided insights into the influence of fluid parameters on flow behavior.
Abstract
The paper is devoted to the study of transmission problem between two Herschel-Bulkley fluids with different viscosities, yield limits and power law index.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Nonlinear Partial Differential Equations · Rheology and Fluid Dynamics Studies