2012
DOI: 10.1002/htj.20404
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Entropy generation in an asymmetrically cooled slab with temperature‐dependent internal heat generation

Abstract: The paper presents an entropy generation analysis for steady conduction in a slab with temperature-dependent volumetric internal heat generation. The slab experiences asymmetric convective cooling on its two faces. The exact analytical solution for the temperature distribution is used to compute dimensionless local and total entropy generation rates in the slab. The total entropy generation rate depends on five dimensionless parameters: reference heat generation temperature Q, the heat generation-temperature v… Show more

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Cited by 25 publications
(28 citation statements)
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“…Moreover, in many second law analyses for conductive media it has been mathematically proven that the entropy generation formula does not affected by internal heat generation and this feature of the system input its impact on the temperature distribution and therefore into the entropy generation. This can be clearly seen in recent publications in this field [5,6,49]. However, since the energy equations in convective systems are mainly partial differential equation with many terms, this mathematical endorsement has not been taken previously.…”
Section: Entropy Generationmentioning
confidence: 99%
“…Moreover, in many second law analyses for conductive media it has been mathematically proven that the entropy generation formula does not affected by internal heat generation and this feature of the system input its impact on the temperature distribution and therefore into the entropy generation. This can be clearly seen in recent publications in this field [5,6,49]. However, since the energy equations in convective systems are mainly partial differential equation with many terms, this mathematical endorsement has not been taken previously.…”
Section: Entropy Generationmentioning
confidence: 99%
“…To model homogenous or functionally graded materials, the study pertained to temperature or spatial dependent thermal conductivities, respectively. Recently, Aziz and Khan [27] corrected erroneous data in Ref. [28] and mathematically proved that the formulation regarding entropy generation in previous publications [28,29] were not correct.…”
Section: Introductionmentioning
confidence: 97%
“…[28] and mathematically proved that the formulation regarding entropy generation in previous publications [28,29] were not correct. After rigorous mathematical modeling, local and total entropy generation rates were plotted for asymmetric cooled slab with the temperaturedependent internal heat generation [27]. Torabi and Aziz [7] considered hollow cylindrical geometries with the radiation effect.…”
Section: Introductionmentioning
confidence: 99%
“…Assuming uniform wall temperature boundary conditions, the consequences of variable thermal conductivity and internal energy source on global entropy generation rate were investigated. Aziz and Khan [18] analytically obtained entropy generation rates in an energy generating slab having constant thermal conductivity by assuming steady onedimensional conduction within the slab and average heat transfer co-efficient over its surfaces. Torabi and Zhang [19] analytically investigated the problem of entropy generation associated with conduction heat transfer in a plane wall with variable thermal conductivity and internal energy source by assuming convective along with radiative conditions over the heat dissipating surfaces.…”
Section: Introductionmentioning
confidence: 99%