Convection in a rotating laterally-heated annulus

Thermal convection in a cylindrical annulus heated laterally

In this paper we study thermoconvective instabilities appearing in a fluid within a cylindrical annulus heated laterally. As soon as a horizontal temperature gradient is applied a convective state appears. As the temperature gradient reaches a critical value a stationary or oscillatory bifurcation may take place. The problem is modelled with a novel method which extends the one described in [10...

Numerical model for thermal convection in a cylindrical annulus heated laterally

1 Abstract In this paper we study thermoconvective instabilities appearing in a fluid which is in a cylindrical annulus heated laterally. As soon as the applied temperature gradient reaches a critical value a stationary bifurcation takes place. The problem is modelized with the original Navier Stokes equations by keeping pressure with appropriate boundary conditions. This is a low order formula...

Numerical Study of Mixed Convection of Nanofluid in a Concentric Annulus with Rotating Inner Cylinder

In this work, the steady and laminar mixed convection of nanofluid in horizontal concentric annulus withrotating inner cylinder is investigated numerically. The inner and outer cylinders are kept at constanttemperature Ti and To respectively, where Ti>To. The annular space is filled with Alumina-water nanofluid.The governing equations with the corresponded boundary conditions in the polar coord...

Double Hopf Bifurcations in the Differentially Heated Rotating Annulus

Linear Stability Analysis for the Differentially Heated Rotating Annulus

We use linear stability analysis to approximate the axisymmetric to nonaxisymmetric transition in the differentially heated rotating annulus. We study an accurate mathematical model that uses the Navier– Stokes equations in the Boussinesq approximation. The steady axisymmetric solution satisfies a two-dimensional partial differential boundary value problem. It is not possible to compute the sol...