Thermal Convection in a Cylindrical Annulus with a non-Newtonian Outer Surface

1996 ◽  
pp. 551-572
Author(s):  
Stuart A. Weinstein
Keyword(s):  
Outer Surface ◽  
Thermal Convection ◽  
Cylindrical Annulus

Centrifugally driven thermal convection in a rotating porous cylindrical annulus

2013 ◽  
Vol 25 (4) ◽  
pp. 044104 ◽  
Author(s):  
Jianhong Kang ◽  
Xi Chen ◽  
Ceji Fu ◽  
Wenchang Tan
Keyword(s):  
Thermal Convection ◽  
Cylindrical Annulus

scholarly journals Thermal convection in a cylindrical annulus heated laterally

2002 ◽  
Vol 35 (18) ◽  
pp. 4067-4083 ◽  
Author(s):  
S Hoyas ◽  
H Herrero ◽  
A M Mancho
Keyword(s):  
Thermal Convection ◽  
Cylindrical Annulus

scholarly journals Supergravitational turbulent thermal convection

2020 ◽  
Vol 6 (40) ◽  
pp. eabb8676
Author(s):  
Hechuan Jiang ◽  
Xiaojue Zhu ◽  
Dongpu Wang ◽  
Sander G. Huisman ◽  
Chao Sun
Keyword(s):  
Rayleigh Number ◽  
Thermal Convection ◽  
Zonal Flow ◽  
Scaling Exponent ◽  
Transfer Processes ◽  
Rotating Systems ◽  
Cylindrical Annulus ◽  
Fluid Core ◽  
Novel Approach ◽  
Astrophysical Flows

High–Rayleigh number convective turbulence is ubiquitous in many natural phenomena and in industries, such as atmospheric circulations, oceanic flows, flows in the fluid core of planets, and energy generations. In this work, we present a novel approach to boost the Rayleigh number in thermal convection by exploiting centrifugal acceleration and rapidly rotating a cylindrical annulus to reach an effective gravity of 60 times Earth’s gravity. We show that in the regime where the Coriolis effect is strong, the scaling exponent of Nusselt number versus Rayleigh number exceeds one-third once the Rayleigh number is large enough. The convective rolls revolve in prograde direction, signifying the emergence of zonal flow. The present findings open a new avenue on the exploration of high–Rayleigh number turbulent thermal convection and will improve the understanding of the flow dynamics and heat transfer processes in geophysical and astrophysical flows and other strongly rotating systems.

Incipient Buoyant Thermal Convection in a Vertical Cylindrical Annulus

1990 ◽  
Vol 112 (4) ◽  
pp. 959-964 ◽  
Author(s):  
D. L. Littlefield ◽  
P. V. Desai
Keyword(s):  
Rayleigh Number ◽  
Boundary Conditions ◽  
Thermal Convection ◽  
Fluid Motion ◽  
Radius Ratio ◽  
Cellular Behavior ◽  
Cylindrical Annulus ◽  
Rayleigh Numbers ◽  
Number Of Cells

The incipient buoyant thermal convection in a vertical cylindrical annulus when heated from below is examined. The ends are assumed to be free, and the sidewalls perfectly conducting. The temperature needed to initiate fluid motion is expressed nondimensionally in terms of the Rayleigh number. The analytical conflict that arises for annuli of infinite aspects ratios due to insufficient independent boundary conditions is resolved. Calculations for the critical Rayleigh numbers are presented for a variety of geometries, and the corresponding velocity and temperature perturbations are also shown. The number of cells increases as the aspect and radius ratio decrease with a strong bias towards the development of azimuthally varying cells. These changes in cellular behavior are expected based on physical justifications and comparisons with previous studies.

Numerical study of thermal convection induced by centrifugal buoyancy in a rotating cylindrical annulus

2019 ◽  
Vol 4 (4) ◽  
Author(s):  
Changwoo Kang ◽  
Antoine Meyer ◽  
Harunori N. Yoshikawa ◽  
Innocent Mutabazi
Keyword(s):  
Thermal Convection ◽  
Numerical Study ◽  
Cylindrical Annulus

SYMMETRIC PERIODIC ORBITS AND GLOBAL DYNAMICS OF TORI IN AN O(2) EQUIVARIANT SYSTEM: TWO-DIMENSIONAL THERMAL CONVECTION

2005 ◽  
Vol 15 (12) ◽  
pp. 3953-3972 ◽  
Author(s):  
MARTA NET ◽  
JUAN SÁNCHEZ
Keyword(s):  
Periodic Orbits ◽  
Thermal Convection ◽  
Invariant Tori ◽  
Global Dynamics ◽  
Two Dimensional ◽  
Periodic Flows ◽  
Cylindrical Annulus ◽  
Dependent Behavior ◽  
Symmetric Periodic Orbits ◽  
Local And Global Bifurcations

Numerical simulations of two-dimensional Boussinesq thermal convection in a long cylindrical annulus with radial gravity and heating are used to study the influence of the reflection and rotation symmetries of the system on the sequence of local and global bifurcations leading to complex time dependent behavior. From the results of the linear stability analysis of symmetric periodic orbits, it is shown how, via gluing bifurcations, some quasi-periodic flows recover, as sets, symmetries lost in previous bifurcations. It is also shown how the same mechanism gives rise to a temporal chaotic attractor consisting of random switches between the symmetry-conjugate quasi-periodic orbits. At higher Rayleigh numbers, a chaotic-drifting behavior is found when a circle of invariant tori loses stability. In addition, detailed information about the Floquet multipliers and eigenfunctions of the periodic orbits involved in this dynamics is supplied.

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