Natural convection in the annulus between concentric horizontal circular and square cylinders

Moukalled, F.; Acharya, Sumanta

doi:10.2514/3.820

Cited by 250 publications

(161 citation statements)

References 14 publications

Supporting

Mentioning

139

Contrasting

Unclassified

Order By: Relevance

“…The values ofN u in the present work (Table 9) are divided by 2 for comparison purposes. It can be seen that the RBF results are in good agreement with those of Moukalled and Acharya [34] and of Shu and Zhu [27].…”

Section: Rasupporting

confidence: 78%

See 1 more Smart Citation

A Cartesian grid technique based on one‐dimensional integrated radial basis function networks for natural convection in concentric annuli

Mai‐Duy

Le-Cao

Tran-Cong

2007

Numerical Methods in Fluids

View full text Add to dashboard Cite

This paper reports a radial-basis-function (RBF)-based Cartesian grid technique for the simulation of two-dimensional buoyancy-driven flow in concentric annuli. The continuity and momentum equations are represented in the equivalent stream function formulation that reduces the number of equations from three to one, but involves higher-order derivatives. The present technique uses a Cartesian grid to discretize the problem domain. Along a grid line, one-dimensional integrated RBF networks (1D-IRBFNs) are employed to represent the field variables. The capability of 1D-IRBFNs to handle unstructured points with accuracy is exploited to describe non-rectangular boundaries in a Cartesian grid, while the method's ability to avoid the reduction of convergence rate caused by differentiation is instrumental in improving the quality of the approximation of high-order derivatives. The method is applied to simulate thermally-driven flows in annuli between two circular cylinders and between an outer square cylinder and an inner circular cylinder. High Rayleighnumber solutions are achieved and they are in good agreement with previously published numerical data.

show abstract

Section: Rasupporting

confidence: 78%

“…In Moukalled and Acharya [34], the computational domain is taken as one-half of the physical domain owing to the symmetry about the vertical axis of the flow. The values ofN u in the present work (Table 9) are divided by 2 for comparison purposes.…”

Section: Ramentioning

confidence: 99%

A Cartesian grid technique based on one‐dimensional integrated radial basis function networks for natural convection in concentric annuli

Mai‐Duy

Le-Cao

Tran-Cong

2007

Numerical Methods in Fluids

View full text Add to dashboard Cite

show abstract

“…In this case, the fluid flow is due to natural convection only since the adiabatic stationary cylinder does not interact with the mass transferred by the fluid, so the case of R=0.05 has the greatest dimensionless maximum stream function due to the fact that the space for the fluid flow between the inner cylinder and the enclosure walls is the largest for natural convection circulation. It is worth noting that the increment of fluid flow area also enhances the viscous friction that tends to decrease the flow intensity, which was also indicated by Moukalled and Acharya (1996). However, the enhancement of the flow intensity resulting from natural convection is compensated for by the attenuation due to additional viscous friction.…”

Section: Flow and Temperature Fieldsmentioning

confidence: 92%

Laminar mixed convection heat transfer of SiC-EG nanofluids in a triangular enclosure with a rotating inner cylinder: simulations based on the measured thermal conductivity and viscosity

Wang

Tian

et al. 2015

J. Zhejiang Univ. Sci. A

View full text Add to dashboard Cite

A numerical study has been carried out for a laminar steady mixed convection flow in a 2D triangular enclosure with an inner rotating coaxial cylinder, with the enclosure filled with ethylene glycol-silicon carbide (SiC-EG). The thermal conductivity and viscosity of the SiC-EG nanofluids were experimentally determined by using a Decagon Devices KD2 Pro thermal property meter and a rotational Brookfield viscometer, respectively. Various pertinent parameters, such as the dimensionless rotation velocity, solid volume fraction, dimensionless radius of the inner cylinder, and Rayleigh numbers, were analyzed to determine their influences on heat transfer and fluid flow. Results clearly show how the direction of rotation of the cylinder affects the thermal performance in a triangular enclosure. It is found that the average Nusselt number increases with rise in the Rayleigh number or as more nanoparticles are added to the base liquid. It was also observed that at constant Rayleigh number, different rotational conditions have remarkable effects on the flow and heat transfer characteristics.

show abstract

“…For conventional FDMs and pseudo-spectral techniques, coordinate transformations are required to convert non-rectangular domains into rectangular ones [16,18]. The relationships between the physical and computational coordinates are given by a set of algebraic equations or a set of partial differential equations (PDEs), depending on the level of complexity of the geometry.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Since the computational domain in [18] is taken as one-half of the physical domain, the values of N u in the present work (Table 7) are divided by 2 for comparison purposes. The present results agree well with those in [18] and [29].…”

mentioning

confidence: 99%

Numerical study of stream-function formulation governing flows in multiply-connected domains by integrated RBFs and Cartesian grids

Le-Cao¹,

Mai‐Duy²,

Tran³

et al. 2011

Computers & Fluids

View full text Add to dashboard Cite

Natural convection in the annulus between concentric horizontal circular and square cylinders

Cited by 250 publications

References 14 publications

A Cartesian grid technique based on one‐dimensional integrated radial basis function networks for natural convection in concentric annuli

A Cartesian grid technique based on one‐dimensional integrated radial basis function networks for natural convection in concentric annuli

Laminar mixed convection heat transfer of SiC-EG nanofluids in a triangular enclosure with a rotating inner cylinder: simulations based on the measured thermal conductivity and viscosity

Numerical study of stream-function formulation governing flows in multiply-connected domains by integrated RBFs and Cartesian grids

Contact Info

Product

Resources

About