Control of stationary convective instabilities in the rotating disk boundary layer via time-periodic modulation

The Convective Instability of Boundary-layer Flows over Rotating Spheroids

The continuous development of spinning projectiles and other industrial applications has led to the need to understand the laminar boundary-layer flow and subsequent onset of transition over the general family of rotating spheroids. We begin by finding the laminar boundary-layer flow over a general spheroid. In particular, we distinguish between prolate and oblate spheroids and use an appropria...

Vortex-Speed Selection Within the Rotating-Disk Boundary Layer

A theoretical investigation into the vortex-speed selection within the rotating-disk boundary layer is conducted. Two methods are used which are different to previous investigations in the literature and enable analysis of a particular vortex speed with respect to the rotating surface. Using these methods (together with arguments based on critical Reynolds numbers, unstable parameter ranges and...

Convective and absolute instabilities in the boundary layer over rotating spheres with surface mass flux and incident axial flow

We consider the effect of surface mass flux and forced axial flow on the boundary-layer flows over rotating spheres, with a view to establishing flow-control mechanisms for rotating flows of engineering significance. A theoretical study is presented which considers the onset of convective instability modes (both stationary and travelling relative to the rotating surface) and local absolute inst...

The effect of anisotropic and isotropic roughness on the convective stability of the rotating disk boundary layer

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...