Unsteady flow of Bingham fluid in a thin layer with mixed boundary conditions

"In this paper we consider the dynamic system for Bingham fluid in a three-dimensional thin domain with Fourier and Tresca boundary condition. We study the existence and uniqueness results for the weak solution, then we establish its asymptotic behavior, when the depth of the thin domain tends to zero. This study yields a mechanical laws that give a new description of the behavior this system."

• Bingham fluid
• unsteady flow
• thin domains
• mixed boundary conditions
• Fourier boundary conditions
• weak solutions
• existence and uniqueness of solutions
• asymptotic behavior
• three-dimensional flow

• Navier-Stokes equation solutions
• Fluid dynamics and aerodynamics studies
• Rheology and Fluid Dynamics Studies
• Bingham fluid
• unsteady flow
• thin domains
• mixed boundary conditions
• Fourier boundary conditions
• weak solutions
• existence and uniqueness of solutions
• asymptotic behavior
• Applied Mathematics
• Computational Mechanics
• Fluid Flow and Transfer Processes
• Mathematics
• Engineering
• Chemical Engineering