Multiple and unsteady solutions for buoyancy driven flows in spherical annuli

Thamire, Chandrasekhar; Wright, Neil T.

doi:10.1016/s0017-9310(98)00151-3

Cited by 16 publications

(7 citation statements)

References 22 publications

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“…The code was also benchmarked against the results of Garg [11] and Thamire and Wright [12], with agreement to better than 1%.…”

Section: Equationsmentioning

confidence: 99%

“…Numerical calculations on this problem were done by Garg [11] and Thamire and Wright [12], who succeeded in reproducing many of the experimental results at Pr = 0.7 and 6. Large Prandtl numbers were considered by Chu and Lee [13], Chiu and Chen [14], and Wu et al [3], who focussed more on the initial transients rather than the final solutions though, and also included features such as taking the inner sphere to be off-center, either raised or lowered relative to the outer sphere.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Thermal blob convection in spherical shells

Futterer

Brucks

Hollerbach

et al. 2007

International Journal of Heat and Mass Transfer

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“…The code was also benchmarked against the results of Garg [11] and Thamire and Wright [12], with agreement to better than 1%.…”

Section: Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermal blob convection in spherical shells

Futterer

Brucks

Hollerbach

et al. 2007

International Journal of Heat and Mass Transfer

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“…It is benchmarked against [2] and [3] with an excellent agreement. As the experimentally observed fluid flow remains purely axisymmetric even for high Rayleigh numbers the numerical code calculates two-dimensional.…”

Section: Introduction and Set-up Of The Studymentioning

confidence: 99%

“…The modelling is based on a spectral fortran code which comes from long term studies of magnetohydrodynamical convection [1]. It is benchmarked against [2] and [3] with an excellent agreement. As the experimentally observed fluid flow remains purely axisymmetric even for high Rayleigh numbers the numerical code calculates two-dimensional.…”

Section: Introduction and Set-up Of The Studymentioning

confidence: 99%

Natural Convection in Wide Spherical Shells

Futterer

Brucks

Hollerbach

et al. 2003

Proc Appl Math and Mech

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“…The existence and range of bifurcations between different flow states were investigated by a continuation method. The solutions for buoyancy-induced laminar flows in spherical annuli exhibited the effect of flow structures on heat transfer (Thamire and Wright 1998). It was shown that the transition of multicellular flows to unicellular flows depended on the radial aspect ratios and Grashof numbers.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamic Aalysis of Natural Ventilation in a Two-Zone Building: Part B—CFD Simulations

Yang¹,

Li²,

et al. 2006

HVAC&R Research

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Computational fluid dynamics (CFD) is a widely accepted design and analysis tool for building ventilation. This paper presents a simple method using commercial CFD software to obtain the solution multiplicity characteristics of laminar and turbulent indoor airflows. The method is known as the two-way continuation simulation, which has been developed for identifying multiple solutions in computational fluid dynamics. We consider airflows in a simple two-zone building with four openings, where one of the zones has a constant heat source, modeling the heat or pollutant generation and spread in buildings governed by natural stack forces. Using the new two-way continuation simulation method, we describe the flow variation and physical mechanisms at different heights in the two zones for different Rayleigh numbers. The results show that two steady solutions with the same boundary conditions and building geometry can be obtained step-by-step in the simulation process. Flow multiplicity can also be found as the height ratio of the two zones increases or decreases. As an important physical parameter, the Rayleigh number can also have some significant influences on the flow bifurcation or variation. Compared with conventional CFD simulation, the two-way continuation simulation method can effectively identify the possible existence of multiple solutions of indoor airflows and pollutant spread with different initial conditions. One shortcoming of the two-way method is that it cannot identify unstable solutions.

show abstract

Multiple and unsteady solutions for buoyancy driven flows in spherical annuli

Cited by 16 publications

References 22 publications

Thermal blob convection in spherical shells

Thermal blob convection in spherical shells

Natural Convection in Wide Spherical Shells

Nonlinear Dynamic Aalysis of Natural Ventilation in a Two-Zone Building: Part B—CFD Simulations

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