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Analysis of entropy generation due to natural convection in rhombic enclosures / R. Anandalakshmi in Industrial & engineering chemistry research, Vol. 50 N° 23 (Décembre 2011) 

Public ISBD [article]  in Industrial & engineering chemistry research > Vol. 50 N° 23 (Décembre 2011) . - pp. 13169–13189 Titre : Analysis of entropy generation due to natural convection in rhombic enclosures Type de document : texte imprimé Auteurs : R. Anandalakshmi, Auteur ; Tanmay Basak, Auteur Année de publication : 2012 Article en page(s) : pp. 13169–13189 Note générale : Chimie industrielle Langues : Anglais (eng) Mots-clés : Entropy  generation Résumé : One way of increasing the energy efficiency in thermal processing of materials is to reduce exergy losses due to irreversibilities, measured as “entropy generation”. In this study, an analysis of entropy generation during natural convection in rhombic enclosures with various inclination angles (φ = 30°, 45°, and 75°) has been carried out for the efficient thermal processing of various fluids (Prandtl numbers of Pr = 0.015, 0.7, 7.2, and 1000) in a range of Rayleigh numbers (Ra = 103–105). The enclosure is bounded by an adiabatic top wall, cold side walls, and an isothermally (case 1) and nonisothermally (case 2) heated bottom wall. Isotherms (θ), streamlines (ψ), and entropy generation contours due to heat transfer (Sθ) and fluid friction irreversibility (Sψ) are analyzed for both cases. At low Rayleigh number (Ra = 103), the entropy generation in the cavity is dominated by Sθ for all φ, irrespective of Pr. As Ra increases to 105, the fluid flow intensifies and Sψ also increases for all φ, irrespective of Pr. The total entropy generation (Stotal), average Bejan number (Beav), and average heat-transfer rate (Nub) are plotted for Rayleigh number ranges of 103 ≤ Ra ≤ 105. The total entropy generation (Stotal) is found to be low for φ = 30° and high for φ = 75° for all Pr values at Ra = 105. Analysis of variations of Beav with Ra for high-Pr fluids indicates that Sψ contributes significantly for increase in Stotal. It is also found that the largest heat-transfer rate (Nub) corresponds to minimum entropy generation (Stotal) for φ = 30° cavities at Ra = 105 with all Pr in case 1. The nonisothermal heating strategy (case 2) is energy efficient, because of its lower Stotal value, corresponding to low Nub, which is due to a lesser heating effect than case 1 for all φ. Overall, rhombic cavities with φ = 30° may be the optimal geometrical design for thermal processing of all types of fluids (Pr = 0.015, 0.7, 7.2, and 1000), irrespective of the heating strategy. DEWEY : 660 ISSN : 0888-5885 En ligne : http://pubs.acs.org/doi/abs/10.1021/ie200184y [article] Analysis of entropy generation due to natural convection in rhombic enclosures [texte imprimé] / R. Anandalakshmi, Auteur ; Tanmay Basak, Auteur . - 2012 . - pp. 13169–13189. Chimie industrielle Langues : Anglais (eng) in Industrial & engineering chemistry research > Vol. 50 N° 23 (Décembre 2011) . - pp. 13169–13189 Mots-clés : Entropy  generation Résumé : One way of increasing the energy efficiency in thermal processing of materials is to reduce exergy losses due to irreversibilities, measured as “entropy generation”. In this study, an analysis of entropy generation during natural convection in rhombic enclosures with various inclination angles (φ = 30°, 45°, and 75°) has been carried out for the efficient thermal processing of various fluids (Prandtl numbers of Pr = 0.015, 0.7, 7.2, and 1000) in a range of Rayleigh numbers (Ra = 103–105). The enclosure is bounded by an adiabatic top wall, cold side walls, and an isothermally (case 1) and nonisothermally (case 2) heated bottom wall. Isotherms (θ), streamlines (ψ), and entropy generation contours due to heat transfer (Sθ) and fluid friction irreversibility (Sψ) are analyzed for both cases. At low Rayleigh number (Ra = 103), the entropy generation in the cavity is dominated by Sθ for all φ, irrespective of Pr. As Ra increases to 105, the fluid flow intensifies and Sψ also increases for all φ, irrespective of Pr. The total entropy generation (Stotal), average Bejan number (Beav), and average heat-transfer rate (Nub) are plotted for Rayleigh number ranges of 103 ≤ Ra ≤ 105. The total entropy generation (Stotal) is found to be low for φ = 30° and high for φ = 75° for all Pr values at Ra = 105. Analysis of variations of Beav with Ra for high-Pr fluids indicates that Sψ contributes significantly for increase in Stotal. It is also found that the largest heat-transfer rate (Nub) corresponds to minimum entropy generation (Stotal) for φ = 30° cavities at Ra = 105 with all Pr in case 1. The nonisothermal heating strategy (case 2) is energy efficient, because of its lower Stotal value, corresponding to low Nub, which is due to a lesser heating effect than case 1 for all φ. Overall, rhombic cavities with φ = 30° may be the optimal geometrical design for thermal processing of all types of fluids (Pr = 0.015, 0.7, 7.2, and 1000), irrespective of the heating strategy. DEWEY : 660 ISSN : 0888-5885 En ligne : http://pubs.acs.org/doi/abs/10.1021/ie200184y

Analysis of entropy generation due to natural convection in tilted square cavities / Abhishek Kumar Singh in Industrial & engineering chemistry research, Vol. 51 N° 40 (Octobre 2012) 

Public ISBD [article]  in Industrial & engineering chemistry research > Vol. 51 N° 40 (Octobre 2012) . - pp. 13300-13318 Titre : Analysis of entropy generation due to natural convection in tilted square cavities Type de document : texte imprimé Auteurs : Abhishek Kumar Singh, Auteur ; S. Roy, Auteur ; Tanmay Basak, Auteur Année de publication : 2012 Article en page(s) : pp. 13300-13318 Note générale : Industrial chemsitry Langues : Anglais (eng) Mots-clés : Thermodynamic  properties  Natural  convection  Entropy Résumé : In this article, the numerical investigation of entropy generation due to heat transfer irreversibility and fluid friction irreversibility during natural convection within tilted square cavity with hot wall AB, cold side walls (DA and BC), and top insulated wall (CD) has been performed. The numerical simulation has been carried out for various fluids of industrial importance (Pr = 0.015, 0.7, and 1000), Rayleigh numbers (103 ≤ Ra ≤ 105), and different inclination angles (ϕ =15°, 45°, and 75°). The results are presented in terms of isotherms (8), streamlines (ψ), entropy generation maps due to heat transfer (Sθ), and fluid friction (Sψ). The total entropy generation (Stotal), average Bejan number (Beav), and average heat transfer rate (NuAB) are plotted for Rayleigh number 103 ≤ Ra ≤ 105. The maximum values of Sθ occur near the comer regions of wall AB due to a junction of hot and cold walls. On the other hand, maximum values of Sψ are found near the walls of the cavity due to friction between the circulation cells and walls of the cavity. It is found that minimum entropy generation occurs for ϕ ≥ 45° at convection dominant mode (Ra = 105) for lower Pr (Pr = 0.015 and 0.7). The inclined cavity with ϕ = 45° may be an alternative optimal inclination angle in optimal thermal processing of high Pr (Pr = 1000). ISSN : 0888-5885 En ligne : http://cat.inist.fr/?aModele=afficheN&cpsidt=26451480 [article] Analysis of entropy generation due to natural convection in tilted square cavities [texte imprimé] / Abhishek Kumar Singh, Auteur ; S. Roy, Auteur ; Tanmay Basak, Auteur . - 2012 . - pp. 13300-13318. Industrial chemsitry Langues : Anglais (eng) in Industrial & engineering chemistry research > Vol. 51 N° 40 (Octobre 2012) . - pp. 13300-13318 Mots-clés : Thermodynamic  properties  Natural  convection  Entropy Résumé : In this article, the numerical investigation of entropy generation due to heat transfer irreversibility and fluid friction irreversibility during natural convection within tilted square cavity with hot wall AB, cold side walls (DA and BC), and top insulated wall (CD) has been performed. The numerical simulation has been carried out for various fluids of industrial importance (Pr = 0.015, 0.7, and 1000), Rayleigh numbers (103 ≤ Ra ≤ 105), and different inclination angles (ϕ =15°, 45°, and 75°). The results are presented in terms of isotherms (8), streamlines (ψ), entropy generation maps due to heat transfer (Sθ), and fluid friction (Sψ). The total entropy generation (Stotal), average Bejan number (Beav), and average heat transfer rate (NuAB) are plotted for Rayleigh number 103 ≤ Ra ≤ 105. The maximum values of Sθ occur near the comer regions of wall AB due to a junction of hot and cold walls. On the other hand, maximum values of Sψ are found near the walls of the cavity due to friction between the circulation cells and walls of the cavity. It is found that minimum entropy generation occurs for ϕ ≥ 45° at convection dominant mode (Ra = 105) for lower Pr (Pr = 0.015 and 0.7). The inclined cavity with ϕ = 45° may be an alternative optimal inclination angle in optimal thermal processing of high Pr (Pr = 1000). ISSN : 0888-5885 En ligne : http://cat.inist.fr/?aModele=afficheN&cpsidt=26451480

Analysis of entropy generation minimization during natural convection in trapezoidal enclosures of various angles with linearly heated side wall (s) / Tanmay Basak in Industrial & engineering chemistry research, Vol. 51 N° 10 (Mars 2012) 

Public ISBD [article]  in Industrial & engineering chemistry research > Vol. 51 N° 10 (Mars 2012) . - pp. 4069–4089 Titre : Analysis of entropy generation minimization during natural convection in trapezoidal enclosures of various angles with linearly heated side wall (s) Type de document : texte imprimé Auteurs : Tanmay Basak, Auteur ; Pushpendra Kumar, Auteur ; R. Anandalakshmi, Auteur Année de publication : 2012 Article en page(s) : pp. 4069–4089 Note générale : Chimie industrielle Langues : Anglais (eng) Mots-clés : Entropy  Trapezoidal Résumé : Entropy generation during natural convection in trapezoidal enclosures with various inclination angles (φ), φ = 45°, 60°, and 90° for uniformly heated bottom wall and insulated top wall with linearly heated side walls (case 1) or linearly heated left wall with cold right wall (case 2) have been investigated numerically using penalty finite element method. Parametric studies for the wide range of Rayleigh numbers (Ra = 103–105) and Prandtl numbers (Pr = 0.015–1000) have been performed. Symmetry in flow pattern is observed for case 1. During the conduction regime at low Ra (Ra = 103), the entropy generation in the cavity is dominated by heat transfer irreversibility for all Pr. The strength of fluid flow increases with Ra and that leads to an increase in thermal energy transport due to enhanced convection at Ra = 105. Consequently, the entropy generation due to heat transfer (Sθ) and fluid friction (Sψ) also increases with Ra for all Pr. The comparison of magnitudes of Sθ and Sψ indicates that maximum entropy generation due to heat transfer (Sθ,max) and fluid friction (Sψ,max) is lower for case 1 and higher for case 2. It is found that Sθ,max occurs at the top portion of side walls in case 1, whereas Sθ,max occurs at a hot–cold junction due to a high thermal gradient in case 2. The total entropy generation, Stotal is found to be smaller in case 1 and larger in case 2 for all Pr at Ra = 105. It is observed that Sψ,max occurs at the top wall in both heating situations for Pr = 0.015 and Ra = 105. It is also found that, Sψ,max is observed near side walls in case 1, whereas that is observed near the right cold wall in case 2 for Pr = 0.7 and 1000 at Ra = 105. The total entropy generation (Stotal) is larger for φ = 45° in both heating cases at high Pr (Pr = 1000). The total entropy generation (Stotal) also increases with Pr due to an increase in Sψ with Pr. It is found that, high heat transfer rate (Nub) and minimum entropy generation (Stotal) occur for square cavities at Ra = 105 for all Pr in case 1. It is observed that Stotal is smaller for case 1 compared to case 2, even though high Nub is observed at case 2 for all φs. The inclination angle (φ) has almost identical effect on entropy production rate for 45° ≤ φ ≤ 60° within the entire range of Pr at all Ra. ISSN : 0888-5885 En ligne : http://pubs.acs.org/doi/abs/10.1021/ie201107f [article] Analysis of entropy generation minimization during natural convection in trapezoidal enclosures of various angles with linearly heated side wall (s) [texte imprimé] / Tanmay Basak, Auteur ; Pushpendra Kumar, Auteur ; R. Anandalakshmi, Auteur . - 2012 . - pp. 4069–4089. Chimie industrielle Langues : Anglais (eng) in Industrial & engineering chemistry research > Vol. 51 N° 10 (Mars 2012) . - pp. 4069–4089 Mots-clés : Entropy  Trapezoidal Résumé : Entropy generation during natural convection in trapezoidal enclosures with various inclination angles (φ), φ = 45°, 60°, and 90° for uniformly heated bottom wall and insulated top wall with linearly heated side walls (case 1) or linearly heated left wall with cold right wall (case 2) have been investigated numerically using penalty finite element method. Parametric studies for the wide range of Rayleigh numbers (Ra = 103–105) and Prandtl numbers (Pr = 0.015–1000) have been performed. Symmetry in flow pattern is observed for case 1. During the conduction regime at low Ra (Ra = 103), the entropy generation in the cavity is dominated by heat transfer irreversibility for all Pr. The strength of fluid flow increases with Ra and that leads to an increase in thermal energy transport due to enhanced convection at Ra = 105. Consequently, the entropy generation due to heat transfer (Sθ) and fluid friction (Sψ) also increases with Ra for all Pr. The comparison of magnitudes of Sθ and Sψ indicates that maximum entropy generation due to heat transfer (Sθ,max) and fluid friction (Sψ,max) is lower for case 1 and higher for case 2. It is found that Sθ,max occurs at the top portion of side walls in case 1, whereas Sθ,max occurs at a hot–cold junction due to a high thermal gradient in case 2. The total entropy generation, Stotal is found to be smaller in case 1 and larger in case 2 for all Pr at Ra = 105. It is observed that Sψ,max occurs at the top wall in both heating situations for Pr = 0.015 and Ra = 105. It is also found that, Sψ,max is observed near side walls in case 1, whereas that is observed near the right cold wall in case 2 for Pr = 0.7 and 1000 at Ra = 105. The total entropy generation (Stotal) is larger for φ = 45° in both heating cases at high Pr (Pr = 1000). The total entropy generation (Stotal) also increases with Pr due to an increase in Sψ with Pr. It is found that, high heat transfer rate (Nub) and minimum entropy generation (Stotal) occur for square cavities at Ra = 105 for all Pr in case 1. It is observed that Stotal is smaller for case 1 compared to case 2, even though high Nub is observed at case 2 for all φs. The inclination angle (φ) has almost identical effect on entropy production rate for 45° ≤ φ ≤ 60° within the entire range of Pr at all Ra. ISSN : 0888-5885 En ligne : http://pubs.acs.org/doi/abs/10.1021/ie201107f

Analysis of steady convective heating for molten materials processing within trapezoidal enclosures / Tanmay Basak ; S. Roy ; E. Natarajan in Industrial & engineering chemistry research, Vol. 47 n°22 (Novembre 2008) 

Public ISBD [article]  in Industrial & engineering chemistry research > Vol. 47 n°22 (Novembre 2008) . - p. 8652–8666 Titre : Analysis of steady convective heating for molten materials processing within trapezoidal enclosures Type de document : texte imprimé Auteurs : Tanmay Basak, Auteur ; S. Roy, Auteur ; E. Natarajan, Auteur Année de publication : 2008 Article en page(s) : p. 8652–8666 Note générale : Industrial chemistry Langues : Anglais (eng) Mots-clés : Convective  Heating Résumé : Material processing involving natural convection within a trapezoidal enclosure for uniformly and nonuniformly heated bottom wall, insulated top wall, and isothermal sidewalls with inclination angle φ have been investigated. The penalty finite element method is used to obtain isotherm and streamline profiles for model liquids e.g. molten metal, salt water and olive oil. Parametric study for the wide range of Rayleigh number (Ra), 103 ≤ Ra ≤ 105 and Prandtl number (Pr) for model fluids with various tilt angles φ = 45°, 30°, and 0° have been obtained. Secondary circulations were observed during molten metal processing. Streamlines show that the strength of convection is larger for φ = 45° and flow intensities are also found to be larger for olive oil compared to molten metal and salt water. Heat transfer rates are shown via local and average Nusselt number plots. Local heat transfer rates are found to be relatively more for φ = 0° than those with φ = 45° and φ = 30°. Average Nusselt number plots show higher heat transfer rates for φ = 0° except for the nonuniform heating of the bottom wall with Pr = 0.015 (molten metal). Overall, less heat transfer rates are observed for molten metal processing. En ligne : http://pubs.acs.org/doi/abs/10.1021/ie800263c [article] Analysis of steady convective heating for molten materials processing within trapezoidal enclosures [texte imprimé] / Tanmay Basak, Auteur ; S. Roy, Auteur ; E. Natarajan, Auteur . - 2008 . - p. 8652–8666. Industrial chemistry Langues : Anglais (eng) in Industrial & engineering chemistry research > Vol. 47 n°22 (Novembre 2008) . - p. 8652–8666 Mots-clés : Convective  Heating Résumé : Material processing involving natural convection within a trapezoidal enclosure for uniformly and nonuniformly heated bottom wall, insulated top wall, and isothermal sidewalls with inclination angle φ have been investigated. The penalty finite element method is used to obtain isotherm and streamline profiles for model liquids e.g. molten metal, salt water and olive oil. Parametric study for the wide range of Rayleigh number (Ra), 103 ≤ Ra ≤ 105 and Prandtl number (Pr) for model fluids with various tilt angles φ = 45°, 30°, and 0° have been obtained. Secondary circulations were observed during molten metal processing. Streamlines show that the strength of convection is larger for φ = 45° and flow intensities are also found to be larger for olive oil compared to molten metal and salt water. Heat transfer rates are shown via local and average Nusselt number plots. Local heat transfer rates are found to be relatively more for φ = 0° than those with φ = 45° and φ = 30°. Average Nusselt number plots show higher heat transfer rates for φ = 0° except for the nonuniform heating of the bottom wall with Pr = 0.015 (molten metal). Overall, less heat transfer rates are observed for molten metal processing. En ligne : http://pubs.acs.org/doi/abs/10.1021/ie800263c

A Complete heatline analysis on visualization of heat flow and thermal mixing during mixed convection in a square cavity with various wall heating / Tanmay Basak in Industrial & engineering chemistry research, Vol. 50 N° 12 (Juin 2011) 

Public ISBD [article]  in Industrial & engineering chemistry research > Vol. 50 N° 12 (Juin 2011) . - pp. 7608-7630 Titre : A Complete heatline analysis on visualization of heat flow and thermal mixing during mixed convection in a square cavity with various wall heating Type de document : texte imprimé Auteurs : Tanmay Basak, Auteur ; P. V. Krishna Pradeep, Auteur ; S. Roy, Auteur Année de publication : 2011 Article en page(s) : pp. 7608-7630 Note générale : Chimie industrielle Langues : Anglais (eng) Mots-clés : Heat  transfer  Heating  Convection  Mixing  Heat  flow Résumé : 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 = 0.015―7.2, Re = 1―100, and Gr = 103―105, where Pr, Re, and Gr denote the Prandtl, Reynolds, and Grashof numbers, respectively). The results indicate that, at low Prvalues (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 ≥ 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 hot―old junctions, illustrating high heat-transfer 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 heat-transfer 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. DEWEY : 660 ISSN : 0888-5885 En ligne : http://cat.inist.fr/?aModele=afficheN&cpsidt=24239078 [article] A Complete heatline analysis on visualization of heat flow and thermal mixing during mixed convection in a square cavity with various wall heating [texte imprimé] / Tanmay Basak, Auteur ; P. V. Krishna Pradeep, Auteur ; S. Roy, Auteur . - 2011 . - pp. 7608-7630. Chimie industrielle Langues : Anglais (eng) in Industrial & engineering chemistry research > Vol. 50 N° 12 (Juin 2011) . - pp. 7608-7630 Mots-clés : Heat  transfer  Heating  Convection  Mixing  Heat  flow Résumé : 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 = 0.015―7.2, Re = 1―100, and Gr = 103―105, where Pr, Re, and Gr denote the Prandtl, Reynolds, and Grashof numbers, respectively). The results indicate that, at low Prvalues (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 ≥ 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 hot―old junctions, illustrating high heat-transfer 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 heat-transfer 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. DEWEY : 660 ISSN : 0888-5885 En ligne : http://cat.inist.fr/?aModele=afficheN&cpsidt=24239078

Efficient methodologies for processing of fluids by thermal convection within porous square cavities / Ram Satish Kaluri in Industrial & engineering chemistry research, Vol. 49 N° 20 (Octobre 2010) 

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Kinetic mechanisms of cholesterol synthesis / Tapobrata Panda in Industrial & engineering chemistry research, Vol. 50 N° 23 (Décembre 2011) 

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Numerical studies on microwave heating of thermoplastic-ceramic composites supported on ceramic plates / Tanmay Basak in Journal of heat transfer, Vol. 132 N° 7 (Juillet 2010) 

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