Transient confined natural convection with internal heat generation

Shim, Young-Min; Hyun, Jae Min

doi:10.1016/s0142-727x(97)00027-1

Cited by 52 publications

(38 citation statements)

References 6 publications

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“…Further, an additional verification on the accuracy of the present numerical code is displayed in Fig. 2, which demonstrates an excellent comparison of the streamlines and isotherms between the present results and the results of Shim and Hyun (1997) for the natural convection in a square non-porous cavity with internal heat generation.…”

Section: Validationsupporting

confidence: 61%

“…The right wall of the Fig. 2 Comparison of isotherms and streamlines between the present results and that of Shim and Hyun (1997) for Ra I = 10 6 , Ra = 10 5 and Pr = 0.7 cavity is isothermally cooled at a lower temperature and the horizontal top and bottom walls are insulated. The dimensionless length ε B = h 1 /L of the bottom heater and the unheated portion between the lower boundary and bottom heater is kept fixed at a value of 0.2 for all the cases considered in the present study.…”

Section: Resultsmentioning

confidence: 65%

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Effect of Discrete Heating on Natural Convection in a Rectangular Porous Enclosure

Sivasankaran

Sankar

2010

Transp Porous Med

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The main objective of this article is to study the effect of discrete heating on free convection heat transfer in a rectangular porous enclosure containing a heat-generating substance. The left wall of the enclosure has two discrete heat sources and the right wall is isothermally cooled at a lower temperature. The top and bottom walls, and the unheated portions of the left wall are adiabatic. The vorticity-stream function formulation of the governing equations is numerically solved using an implicit finite difference method. The effects of aspect ratio, Darcy number, heat source length, and modified Rayleigh number on the flow and heat transfer are analyzed. The numerical results reveal that the rate of heat transfer increases as the modified Rayleigh number and the Darcy number increases, but decreases on increasing the aspect ratio. The average heat transfer rate is found to be higher at the bottom heater than at the top heater in almost all considered parameter cases except for ε = 0.5. Also, the maximum temperature takes place generally at the top heater except for the case ε = 0.5, where the maximum temperature is found at the bottom heater. Further, the numerical results reveal that the maximum temperature decreases with the modified Rayleigh number and increases with the aspect ratio.

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Section: Validationsupporting

confidence: 61%

Section: Resultsmentioning

confidence: 65%

Effect of Discrete Heating on Natural Convection in a Rectangular Porous Enclosure

Sivasankaran

Sankar

2010

Transp Porous Med

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“…An additional verification on the accuracy of the present numerical code is displayed in Table 2 and Fig. 4, which demonstrates an excellent comparison of the streamlines and isotherms between the present numerical results and the results by Shim and Hyun (1997) and Oztop and Bilgen (2006). …”

Section: Validationsupporting

confidence: 61%

“…Comparison of the streamlines and isotherms between the present results and that ofShim and Hyun (1997) (Ra I = 10 6 , Ra E = 10 5 , Pr = 0.7)…”

mentioning

confidence: 58%

Non-Darcian Effects on Buoyancy-Induced Heat Transfer in a Partially Divided Square Enclosure with Internal Heat Generation

Marafie

Khanafer

Pop³

2010

Transp Porous Med

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The present investigation addresses non-Darcian effects on the buoyancyinduced heat transfer in a partially divided square enclosure with internal heat generation. The generalized model of the momentum equation, which is also known as the Forchheimer-Brinkman extended Darcy model, which takes into account boundary and inertia effects, was used in representing the fluid motion inside the porous layer. The local thermal equilibrium condition was assumed to be valid for the range of the thermophysical parameters considered in the present investigation. The transport equations were solved using the finite element formulation based on the Galerkin method of weighted residuals. The validity of the numerical code used was ascertained by comparing our results with previously published results. Results were obtained in terms of streamlines, isotherms, and Nusselt number for various geometrical parameters specifying the height and width of the partition. In addition, the effects of external and internal Rayleigh numbers and Darcy number were highlighted in the proposed study.

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“…The two-dimensional transient natural convection heat transfer in a square cavity, where the opposing sidewalls were subjected to an arbitrary time variations in temperature was investigated by Hyun and Lee [6]. Shim and Hyun [7] analysed numerically to describe the time-dependent adjustment of natural convection in a square cavity with internal heat generation and observed that when the impact of internal heat generation was dominant, the flow adjustment was achieved over the time. Gebhart [8] studied numerically the transient natural convection for vertical elements and described the general equations to show the temperature variations with time.…”

Section: Introductionmentioning

confidence: 99%

Experimental study of transient natural convection heat transfer from simulated electronic chips

Bhowmik

Tou

2005

Experimental Thermal and Fluid Science

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Transient confined natural convection with internal heat generation

Cited by 52 publications

References 6 publications

Effect of Discrete Heating on Natural Convection in a Rectangular Porous Enclosure

Effect of Discrete Heating on Natural Convection in a Rectangular Porous Enclosure

Non-Darcian Effects on Buoyancy-Induced Heat Transfer in a Partially Divided Square Enclosure with Internal Heat Generation

Experimental study of transient natural convection heat transfer from simulated electronic chips

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