The Influence of a Radial Temperature Gradient on the Instability of Fluid Flow in an Annulus With an Inner Rotating Cylinder

Abstract

The problem of instability of diabatic flow between rotating, concentric cylinders has been studied analytically.The basic equations were reduced to a form identical to that of a similar instability fluid flow problem, namely, the instability of a horizontal layer of fluid heated from below. The latter problem has been solved by Pellew and Southwell, and their solution was used to calculate and predict the instability of diabatic flow in the annulus. The results of the analysis show that heating of the inner rotating cylinder stabilizes the flow, while heating of the outer stationary cylinder destabilizes the flow.

Centrifugal instability of nanofluids with radial temperature and concentration non-uniformity between co-axial rotating cylinders

“…A similar effect was also pointed out in the works [22,27,29]. However, a physical interpretation of this phenomenon can be hardly proposed.…”

“…They revealed Taylor vortices together with other effects depending on the buoyancy associated with the axially oriented gravity. Peculiarities of instability phenomena in a small gap were considered in the works [27][28][29]. Experimental investigations for gases were performed by [30,31] and for liquids by [32,33].…”

Influence of fluid temperature gradient on the flow within the shaft gap of a PLR pump

“…The experimental investigation by Becker and Kaye [10] showed that addition of axial flow delays the transition process that leads to formation of Taylor vortices. The study of Martin and Hasoon [11] indicates the same gap radius ratio η effect on critical Taylor number as in the cases without axial flow.…”

“…There are several studies which looked into the heat transfer phenomena associated with the Taylor-Couette flow [10,[15][16][17]. Most of these investigations focused on measurements of the inner cylinder heat transfer coefficients for cases with radial temperature gradient within the annulus gap.…”

Electrical Machines for High Speed Applications with a Wide Constant-Power Region Requirement

“…The heat transfer coefficient (HTC) for the rotor-stator air-gap is determined by using the correlation developed by Becker and Kaye [5], [6] :…”