Asymptotic behaviour of Stokes flow in a thin domain with a moving rough boundary

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 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...

Boundary Layers and Heat Transfer on a Rotating Rough Disk

The study of flow and heat transfer over rotating circular disks is of great practical importance in understanding the cooling of rotatory machinery such as turbines, electric motors and design and manufacturing of computer disk drives. This paper presents an analysis of the flow and heat transfer over a heated infinite permeable rough disk. Boundary-layer approximation reduces the elliptic Nav...

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

Simulation of Pitching and Heaving Airfoil with Oscillation of Flow Boundary Condition

A pressure based implicit procedure to solve the Euler and Navier-Stokes equation is developed to predict transonic viscous and inviscid flows around the pitching and heaving airfoils with a high reslution scheme. In this process, nonorthogonal and non moving mesh with collocated finite volume formulation are used. In order to simulate pitching or heaving airfoil, oscillation of flow boundary c...