Computation of two-dimensional time-dependent natural convection in a cavity where there are internal bodies

Adlam, J.H.

doi:10.1016/0045-7930(86)90006-x

Cited by 32 publications

(13 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The steady boundary conditions for all Fourier functions presented in equations (10)(11)(12) are deduced from (8) and can be expressed as:…”

Section: Methods Of Solution and Numerical Proceduresmentioning

confidence: 99%

“…On the other side, Cho et al [10] and Projahn et al [11] investigated numerically the problem using vorticity-stream function formulation, but they assigned zero values to the stream function on the two walls of the annulus which prevents the numerical prediction of the global flow in the annulus. This treatment is a good approximation only in the case of small eccentricity but can not be used for large eccentricities where the stream function values on the two walls are quite different because of the global flow circulation [12,13].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Natural Convection Within an Arbitrarily Oriented Eccentric Annulus

Mahfouz

2012

The International Conference on Applied Mechanics and Mechanica

View full text Add to dashboard Cite

In this paper, the natural convection within an annulus formed between two eccentric circular cylinders has been numerically investigated. The annulus is placed horizontally and heated isothermally from its inner wall while its outer wall is isothermally cooled. The resulting laminar natural convection flow within the annulus is predicted at different orientations of the annulus symmetry line, ASL. The full governing equations are solved numerically using Fourier Spectral method. The process of heat convection within the annulus is dependent on Rayliegh number, Prandtl numbers, outer to inner cylinder radius ratio, eccentricity and angle of inclination of ASL to the horizontal, λ. The Prandtl number and radius ratio are fixed at 0.7 and 2.6, respectively. The Rayleigh number is taken within the range up to 10 5 , while λ is varied from horizontal position(λ =0) to vertical position (λ = 90). The results for mean Nussult number are obtained and discussed together with the details of both flow and thermal fields. The study has shown that for a given value of Rayleigh number as λ increases the steady mean Nusselt number increases for negative eccentricities while it deceases for same but positive eccentricities. The study has also shown that for same RaL and λ≠0, the rate of heat transfer in the annulus is higher in case of negative eccentricities than that for same positive eccentricities.

show abstract

“…The steady boundary conditions for all Fourier functions presented in equations (10)(11)(12) are deduced from (8) and can be expressed as:…”

Section: Methods Of Solution and Numerical Proceduresmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Natural Convection Within an Arbitrarily Oriented Eccentric Annulus

Mahfouz

2012

The International Conference on Applied Mechanics and Mechanica

View full text Add to dashboard Cite

show abstract

“…Stream function generally a non-zero constant value at the walls of internal blocks. We have calculated the stream functions values at the walls of internal blocks using the technique proposed by Adlam [3]. The numerical results corresponding to the steady state fluid flow and temperature fields at Ra=10 3 show the four symmetrical zones around four blocks.…”

Section: Mathematical Formulation and Numerical Methodsmentioning

confidence: 99%

Numerical study of transient natural convection in a cavity with multiple adiabatic blocks

Dalal

Pandit

2007

Proc Appl Math and Mech

View full text Add to dashboard Cite

show abstract

“…The unknown value of the boundary stream function is determined based on the pressure, which in turn leads to the evaluation of a line integral in terms of the vorticity and temperature on the horizontal cylinder surface. 20…”

Section: Mathematical Formulationmentioning

confidence: 99%

Effects of a flow mode transition on natural convection heat transfer in a heat tracing enclosure

Sou

Lai

2018

Proceedings of the Institution of Mechanical Engineers, Part E:

View full text Add to dashboard Cite

This paper presents a numerical study of transient buoyancy-induced fluid flow and heat transfer between two horizontal, differentially heated pipelines inside a circular, air-filled enclosure. Numerical simulations based on the finite difference method were conducted to investigate the flow mode transition of the buoyant airflow and its effects on the heat transfer characteristics of the pipelines. The results indicate that the fluid flow complexity and the heat transfer of air between the pipelines are strongly affected by the Rayleigh number. When Ra = 6 × 105 and 1.2 × 106, both the flow field and the temperature distribution exhibit periodic variations with different patterns. The former ( Ra = 6 × 105) is a complete alteration of the flow direction from clockwise to counterclockwise, whereas the latter is a variation in the flow field strength that varies between strong and weak. The latter has a lower variation frequency than that of the former.

show abstract

Computation of two-dimensional time-dependent natural convection in a cavity where there are internal bodies

Cited by 32 publications

References 6 publications

Natural Convection Within an Arbitrarily Oriented Eccentric Annulus

Natural Convection Within an Arbitrarily Oriented Eccentric Annulus

Numerical study of transient natural convection in a cavity with multiple adiabatic blocks

Effects of a flow mode transition on natural convection heat transfer in a heat tracing enclosure

Contact Info

Product

Resources

About