The Effects of Property Variations on Natural Convection in a Square Enclosure

Emery, A. F.; Lee, J. W.

doi:10.1115/1.2825966

Cited by 55 publications

(26 citation statements)

References 8 publications

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“…Additionally, the geometry has many applications in different industrial techniques and equipments such as solar collectors, food preservation, compact heat exchangers, and electronic cooling systems among other practical applications. As a consequence of these applications, a thorough literature exists in this field of study especially in the case of Newtonian fluids [1][2][3][4].…”

Section: Introductionmentioning

confidence: 99%

Steady Natural Convection of Non-Newtonian Power-Law Fluid in a Trapezoidal Enclosure

Sojoudi

Saha

et al. 2013

Advances in Mechanical Engineering

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Numerical investigation of free convection heat transfer in a differentially heated trapezoidal cavity filled with non-Newtonian Power-law fluid has been performed in this study. The left inclined surface is uniformly heated whereas the right inclined surface is maintained as uniformly cooled. The top and bottom surfaces are kept adiabatic with initially quiescent fluid inside the enclosure. Finite-volume-based commercial software FLUENT 14.5 is used to solve the governing equations. Dependency of various flow parameters of fluid flow and heat transfer is analyzed including Rayleigh number (Ra) ranging from 105 to 107, Prandtl number (Pr) from 100 to 10,000, and power-law index ( n) from 0.6 to 1.4. Outcomes have been reported in terms of isotherms, streamlines, and local Nusselt number for various Ra, Pr, n, and inclined angles. Grid sensitivity analysis is performed and numerically obtained results have been compared with those results available in the literature and were in good agreement.

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Section: Introductionmentioning

confidence: 99%

Steady Natural Convection of Non-Newtonian Power-Law Fluid in a Trapezoidal Enclosure

Sojoudi

Saha

et al. 2013

Advances in Mechanical Engineering

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“…El modelo matemático considera las ecuaciones de continuidad, momentum (Navier-Stokes), energía y masa para un fluido incompresible de densidad , viscosidad dinámica , conductividad k, difusividad D y afectado por la fuerza gravitacional g como mostrado en las ecuaciones (1)(2)(3)(4). Para el caso bidimensional, el modelo expresado por las ecuaciones (1) a (5) para un flujo transitorio bidimensional (u=(u , v)) en el plano XY (Y orientado en -g) de un fluido incompresible ( =cte.…”

Section: Dominio Fluidounclassified

“…En [1] se desarrollan aplicaciones donde se considera a la temperatura dependiente de la conductividad y la viscosidad. Otros investigadores han desarrollado modelos capaces de calcular la convección libre sobre un medio poroso en una cavidad inclinada [2].…”

Section: Introductionunclassified

Flujo Interno Mixto Con Difusión Doble De Calor Y Masa en Una Cavidad Rectangular

Lira

Lagos

Fernandoy

2008

Ingeniare. Rev. chil. ing.

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RESUMENEl presente trabajo muestra resultados de transporte de calor y masa (doble) al interior de una cavidad rectangular ocasionado por un flujo convectivo forzado y natural (mixto). El modelo matemático consta de las ecuaciones de Navier-Stokes para describir el flujo laminar de un fluido incompresible. Además es modelado el transporte de calor y masa a través de dos ecuaciones diferenciales lineales de segunda orden, incorporando en forma lineal los efectos de los gradientes de concentración y de temperaturas. El modelo matemático es resuelto numéricamente a través del Método de Volúmenes Finitos descrito en coordenadas curvilíneas y variables colocalizadas, representando los términos difusivos a través de diferencia central y usando un esquema potencial para los términos convectivos. Se muestran resultados originales de patrones de flujo: Isotermas, isoconcentraciones y números de Nusselt y de Sherwood en regiones características para el problema de flujo interno mixto con difusión de calor y masa.Palabras clave: Difusión, convección, cavidad rectangular, flujo laminar, simulación. ABSTRACT The present work shows the relationship of the transport of heat and mass (double) in a rectangular INTRODUCCIÓNEl presente trabajo plantea un estudio numérico para caracterizar conjuntamente el desarrollo de un flujo interno del tipo mixto conjugado con transporte de calor y masa en una cavidad rectangular.Diversos autores han abordado la modelación numérica trabajando con cavidades rectangulares. En [1] se desarrollan aplicaciones donde se considera a la temperatura dependiente de la conductividad y la viscosidad. Otros investigadores han desarrollado modelos capaces de calcular la convección libre sobre un medio poroso en una cavidad inclinada [2]. Ahora estudios que están más en la línea del presente trabajo analizan el efecto de flujo convectivo interno en el ámbito de la refrigeración de componentes electrónicos [3].Diversos modelos que contemplan la variación de concentración y temperatura han sido publicados en la literatura, como por ejemplo aquellos en los cuales se describe la convección doble en una cavidad [4][5][6][7]. Los

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“…Other articles on the topic published after 1988 show a relatively big interest in the studies of convective phenomena in cavities heated from below and cooled with different kinds of boundary conditions [3]- [5]. Towards effect of fluid properties on heat transfer, Emery and Lee [6] studied the effect of fluid property variations on the natural convection in a square enclosure with different boundary conditions on the sidewalls. A comparison of the results for a variable fluid property with those of a constant property showed that, although the fluid flow and temperature fields seem to be different, the overall heat transfer is unaffected.…”

Section: Introductionmentioning

confidence: 99%

Studies on Convective Cooling of Cryogenic Fluids Towards Superconducting Applications

Satpathy

Dubois

Duchesne

et al. 2017

Computational Methods and Experimental Measurements XVIII

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To understand the cooling aspect through natural convection in a cryogenic fluid interacting with a constant heat source, numerical simulations are carried out in a parallelepiped enclosure. The 3D form of N-S equations is solved to obtain the detailed flow features through path line profiles, isotherm contours and velocity vectors. The effect of heater aspect ratio (x/L) on the rate of heat transfer is studied in terms of the average Nusselt number (Nuave). The results indicate that effective heat transfer enhancement occurs for a small heater length, resulting in an efficient cooling. Increasing the heater length will favor heat transfer through conduction over convection. The maximum temperature difference across the fluid and the velocity magnitude are found to decrease with heater length. 3D and 2D results are in agreement for short heater lengths, but vary for higher heater lengths, presumably due to the essential effect of the heater width. Further analysis on different types of coolant reveals a constant correlation between Nuave and the Rayleigh number (Ra), with Nuave ~ Ra 0.374 . Benchmark validation for natural convection in a square enclosure is found to be satisfactory against the reported results.

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The Effects of Property Variations on Natural Convection in a Square Enclosure

Cited by 55 publications

References 8 publications

Steady Natural Convection of Non-Newtonian Power-Law Fluid in a Trapezoidal Enclosure

Steady Natural Convection of Non-Newtonian Power-Law Fluid in a Trapezoidal Enclosure

Flujo Interno Mixto Con Difusión Doble De Calor Y Masa en Una Cavidad Rectangular

Studies on Convective Cooling of Cryogenic Fluids Towards Superconducting Applications

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