Inverse determination of boundary heat fluxes in a porous enclosure dynamically coupled with thermal transport

Zhao, Fu-Yun; Liu, Di; Tang, Guoqiang

doi:10.1016/j.ces.2008.12.005

Cited by 19 publications

(3 citation statements)

References 22 publications

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“…Transport phenomena in porous media is the subject of prime importance due to its use in latest engineering and scientific applications (Ejlali et al, 2009a, b;Dawes et al, 2009;Zhao et al, 2009;Hassanzadeh et al, 2009;Wang et al, 2008;Hooman et al, , 2009Nazridoust and Ahmadi, 2007;Das and Lewis, 2007;Bhattacharyya et al, 2006;Li et al, 2006;Smit et al, 2005;Das et al, 2003;Rahman and Badr, 2002;Al-Nimr and Hader, 1999). In particular, natural convection in porous media is an important phenomena and a comprehensive review of this phenomena can be found in literature (Kaviany, 1995;Nield and Bejan, 1999;Vafai, 2000;Pop and Ingham, 2001;Bejan and Kraus, 2003;Ingham et al, 2004;Bejan et al, 2004;Ingham and Pop, 2005).…”

Section: Introductionmentioning

confidence: 99%

Heatline analysis of thermal mixing due to natural convection in discretely heated porous cavities filled with various fluids

Kaluri

Basak

2010

Chemical Engineering Science

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Section: Introductionmentioning

confidence: 99%

Heatline analysis of thermal mixing due to natural convection in discretely heated porous cavities filled with various fluids

Kaluri

Basak

2010

Chemical Engineering Science

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“…Furthermore when the thermal process is combined with a fluid dynamic process, it is necessary to introduce the momentum equations which again increases the complexity of the mathematical formulation and the resolution method. Zhao et al [9,10] develop global inverse methods to estimate thermal flux for thermo fluid processes which involves computation of the adjoint and sensitivity functions for the conservation, energy and laminar momentum equations. The thermal flux estimates were improved for flux with single frequency.…”

Section: Introductionmentioning

confidence: 99%

Comparison of global and sequential methods for an inverse heat transfer problem

Marcos

Boulet

Ousegui

et al. 2011

Inverse Problems in Science and Engineering

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This article presents a comparison between global and sequential methods to solve inverse problem related to the baking process. Both methods aim to reconstruct the wall temperature profile in the baking oven from the temperature of flux sensor (h-Monitor). The global method solves the adjoint and sensitivity equations to compute the gradient conjugate descent direction. This method contains regularization term that modifies the computation of the gradient. The sequential method computes at each time step a quasi-Newton descent direction taking into account a regularization term. This method may consider one-step or some time steps to improve the descent direction. The comparison shows that both methods perform well. However, the global method is better for noisy data and the sequential method provides satisfying results which makes it an interesting approach because of its simplicity.

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“…This study was extended to analyze the fluid-, heat-, and contaminant-transport structures of laminar double-diffusive mixed convection in a two-dimensional ventilated enclosure by Deng et al A correlation between the two convection parameters Re and Gr was also obtained. Zhao et al , used the heatline method for the visualization of heat flow in the presence of mixed convection in an enclosure with ventilation ports. However, a detailed investigation of heat flow in mixed-convection lid-driven cavities subject to generalized boundary conditions has yet to appear in the literature.…”

Section: Introductionmentioning

confidence: 99%

A Complete Heatline Analysis on Visualization of Heat Flow and Thermal Mixing during Mixed Convection in a Square Cavity with Various Wall Heating

Basak

Pradeep

Roy

2011

Ind. Eng. Chem. Res.

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A wide range of applications involving mixed-convection studies can be found in various engineering processes such as thermal discharge of water bodies, float glass production, heat exchangers, nuclear reactors, and crystallization process. The present study focuses on understanding the thermal mixing scenarios for mixed-convection lid-driven flow in a square cavity using heatlines. Thermal mixing is analyzed for four different thermal boundary conditions, and heat flow patterns in mixed convection are analyzed using Bejan's heatlines concept for wide ranges of parameters (Pr = 0.015À7.2, Re = 1À100, and Gr = 10 3 À10 5 , where Pr, Re, and Gr denote the Prandtl, Reynolds, and Grashof numbers, respectively). The results indicate that, at low Pr values (Pr = 0.015), the transport is conduction-dominant irrespective of the values of Gr and Re. The trends of heatlines and streamlines are identical near the core for high-Re cases. A single circulation cell was observed in the streamlines for any Pr g 0.7 at high Re and low Gr values for uniform heating of the bottom surface with cold side walls. It was observed that thermal mixing increased significantly with subsequent rises in Gr for high-Pr fluids. Patterns of heatlines and multiple circulation cells of heatlines were found to lead to enhanced thermal mixing, with the thermal boundary layer much compressed toward the walls for linearly heated side walls. The heat-transfer rates along the walls are illustrated by the local Nusselt number distribution based on gradients of heatfunctions for the first time in this work. Nusselt numbers with infinitely large magnitudes were observed at hotÀcold junctions, illustrating high heattransfer rates. An oscillatory distribution in the local heatfunction rate was observed as a result of sinusoidal heating of the bottom surface for high-Pr fluids. Negative heat-transfer rates or local Nusselt numbers were observed along the side walls when side wall(s) was/were linearly heated, as explained based on negative heatfunction gradients. Also, the effect of Gr on the local and average Nusselt numbers in different cases can be adequately explained based on heatlines. Dense heatlines signifying higher overall heattransfer rates along the bottom surface and side walls were observed for uniform bottom surface heating, whereas lower heat-transfer rates were observed for sinusoidal heating. Nonmonotonic distributions in overall heat-transfer rates along the bottom surface and left wall were observed when both walls were linearly heated, whereas a smooth and exponential increase was observed when the right wall was isothermally cooled.

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Inverse determination of boundary heat fluxes in a porous enclosure dynamically coupled with thermal transport

Cited by 19 publications

References 22 publications

Heatline analysis of thermal mixing due to natural convection in discretely heated porous cavities filled with various fluids

Heatline analysis of thermal mixing due to natural convection in discretely heated porous cavities filled with various fluids

Comparison of global and sequential methods for an inverse heat transfer problem

A Complete Heatline Analysis on Visualization of Heat Flow and Thermal Mixing during Mixed Convection in a Square Cavity with Various Wall Heating

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