Unsteady micropolar fluid flow in a thin domain with Tresca fluid–solid interface law

Asymptotic Analysis of a Micropolar Fluid Flow in Thin Domain with a Free and Rough Boundary

Abstract. Motivated by lubrication problems, we consider a micropolar fluid flow in a 2D domain with a rough and free boundary. We assume that the thickness and the roughness are both of order 0 < ε << 1. We prove the existence and uniqueness of a solution of this problem for any value of ε and we establish some a priori estimates. Then we use the two-scale convergence technique to derive the l...

Asymptotic Behaviour of Solutions of Lubrication Problem in a Thin Domain with a Rough Boundary and Tresca Fluid-solid Interface Law

We study the asymptotic behavior of the solution of a Stokes flow in a thin domain, with a thickness of order ε, and a rough surface. The roughness is defined by a quasi-periodic function with period ε. We suppose that the flow is subject to a Tresca fluid-solid interface condition. We prove a new result on the lower-semicontinuity for the two-scale convergence, which allows us to obtain rigoro...

Asymptotic Analysis of a Micropolar Fluid Flow in a Thin Domain with a Free and Rough Boundary

Unsteady Boundary Layer Flow and Heat Transfer over a Stretching Surface in a Micropolar Fluid

The present study deals with the analysis of unsteady boundary layer flow and heat transfer of an incompressible micropolar fluid over a stretching sheet when the sheet is stretched in its own plane. The velocity and temperature are assumed to vary linearly with the distance along the sheet. Two equal and opposite forces are impulsively applied along the x-axis so that the sheet is stretched, k...

Unsteady Boundary Layer Flow over a Stretching Sheet in a Micropolar Fluid

Unsteady boundary layer flow of an incompressible micropolar fluid over a stretching sheet when the sheet is stretched in its own plane is studied in this paper. The stretching velocity is assumed to vary linearly with the distance along the sheet. Two equal and opposite forces are impulsively applied along the x-axis so that the sheet is stretched, keeping the origin fixed in a micropolar flui...