Numerical Simulation of Mixed Convection in a Rotating Cylindrical Cavity: Influence of Prandtl Number

Bifurcation of Infinite Prandtl Number Rotating Convection

We consider infinite Prandtl number convection with rotation which is the basic model in geophysical fluid dynamics. For the rotation free case, the rigorous analysis has been provided by Park [15, 16, 17] under various boundary conditions. By thoroughly investigating We prove in this paper that the solutions bifurcate from the trivial solution u = 0 to an attractor ΣR which consists of only on...

Numerical Study of Transient Laminar Natural Convection Cooling of high Prandtl Number Fluids in a Cubical Cavity: Influence of the Prandtl Number

This paper presents and discusses the numerical simulations of transient laminar natural convection cooling of high Prandtl number fluids in cubical cavities, in which the six walls of the cavity are subjected to a step change in temperature. The effect of the fluid Prandtl number on the heat transfer coefficient is studied for three different fluids (Golden Syrup, Glycerin and Glycerin-water s...

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...

Numerical Simulation of Mixed Convection Flows in a Square Double Lid-Driven Cavity Partially Heated Using Nanofluid

A numerical study has been done through an Al2O3–water in a double lid-driven  square  cavity with various  inclination  angles  and discrete heat sources. The top and right moving walls are at low temperature. Half of  the  left and bottom walls are  insulated and  the  temperatures of the other half are kept at high. A large number of simulations for a wide  range  of Richardson  number ...

Logarithmic Bounds for In nite Prandtl Number Rotating Convection