Flow, thermal, and entropy generation characteristics inside a porous channel with viscous dissipation

Mahmud, Shohel; Fraser, Roydon

doi:10.1016/j.ijthermalsci.2004.05.001

Cited by 123 publications

(85 citation statements)

References 27 publications

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“…The validity of boundary layer approximation for this model channel flow problem can be attributed to the fact that the combined effects of suction and injection on the flow system are more pronounced within the channel walls region [9,20]. Using appropriate parameters, the detailed discussion and graphical representation of the results of above equations are reported in this section.…”

Section: Resultsmentioning

confidence: 99%

“…Exchange of energy and momentum within the fluid and at the solid boundaries causes non-equilibrium condition, which therefore leads to continuous entropy generation in the porous channel. Bejan [9] gave volumetric rate of entropy generation in a Cartesian coordinates as:…”

Section: Entropy Generationmentioning

confidence: 99%

“…The optimal use of energy can be achieved, if the second law of thermodynamics is taken into consideration. Mahmud and Fraser [9] examined the flow, thermal and entropy generation fields inside a parallel-plate porous channel, when subjected to differentially heated isothermal wall. Chauhan and Olkha [10] investigated the hydrodynamics and heat transfer of the flow of a third-grade fluid incorporating entropy analysis.…”

Section: Introductionmentioning

confidence: 99%

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Combined Effect of Buoyancy Force and Navier Slip on Entropy Generation in a Vertical Porous Channel

Eegunjobi

Makinde

2012

Entropy

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Abstract:In this paper, we investigate the combined effects of buoyancy force and Navier slip on the entropy generation rate in a vertical porous channel with wall suction/injection. The nonlinear model problem is tackled numerically using Runge-Kutta-Fehlberg method with shooting technique. Both the velocity and temperature profiles are obtained and utilized to compute the entropy generation number. The effects of slip parameter, Brinkmann number, the Peclet number and suction/injection Reynolds number on the fluid velocity, temperature profile, Nusselt number, entropy generation rate and Bejan number are depicted graphically and discussed quantitatively.

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Section: Resultsmentioning

confidence: 99%

Section: Entropy Generationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Combined Effect of Buoyancy Force and Navier Slip on Entropy Generation in a Vertical Porous Channel

Eegunjobi

Makinde

2012

Entropy

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“…The detailed derivations of these equations can be found in [41,42,46,50], and are not repeated here. Incorporation of the dimensionless parameters introduced in Eq.…”

Section: Entropy Generationmentioning

confidence: 99%

Heat transfer and second law analyses of forced convection in a channel partially filled by porous media and featuring internal heat sources

Torabi

Karimi

Zhang

2015

Energy

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This paper provides a comprehensive study on the heat transfer and entropy generation rates in a channel partially filled with a porous medium and under constant wall heat flux. The porous inserts are attached to the walls of the channel and the system features internal heat sources due to exothermic or endothermic physical or physicochemical processes. Darcy-Brinkman model is used for modelling the transport of momentum and an analytical study on the basis of local thermal non-equilibrium (LTNE) condition is conducted. Further analysis through considering the simplifying, local thermal equilibrium (LTE) model is also presented. Analytical solutions are, first, developed for the velocity and temperature fields. These are subsequently incorporated into the fundamental equations of entropy generation and both local and total entropy generation rates are investigated for a number of cases. It is argued that, comparing with LTE, the LTNE approach yields more accurate results on the temperature distribution within the system and therefore reveals more realistic Nusselt number and entropy generation rates. In keeping with the previous investigations, bifurcation phenomena are observed in the temperature field and rates of entropy generation. It is, further, demonstrated that partial filling of the channel leads to a substantial reduction of the total entropy generation. The results also show that the exothermicity or endothermicity characteristics of the system have significant impacts on the temperature fields, Nusselt number and entropy generation rates.

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“…On the other hand, several articles (a complete list of them may be found in [23] and for brevity the list is not repeated here) dealt with the second law analysis for flow in a porous medium where none of them considered the effects of property variation. The aim of this paper is to consider the effects of temperature-dependent viscosity variation on flow, thermal and entropy generation characteristic inside a porous saturated duct of rectangular cross-section.…”

Section: Introductionmentioning

confidence: 99%

Effects of temperature-dependent viscosity variation on entropy generation, heat and fluid flow through a porous-saturated duct of rectangular cross-section

Hooman

Gurgenci

2007

Appl Math Mech

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Effect of temperature-dependent viscosity on fully developed forced convection in a duct of rectangular cross-section occupied by a fluid-saturated porous medium is investigated analytically.The Darcy flow model is applied and the viscosity-temperature relation is assumed to be an inverse-linear one. The case of uniform heat flux on the walls, i.e. the H boundary condition in the terminology of Kays and Crawford [1], is treated. For the case of a fluid whose viscosity decreases with temperature, it is found that the effect of the variation is to increase the Nusselt number for heated walls. Having found the velocity and the temperature distribution, the second law of thermodynamics is invoked to find the local and average entropy generation rate.Expressions for the entropy generation rate, the Bejan number, the heat transfer irreversibility, and the fluid flow irreversibility are presented in terms of the Brinkman number, the Péclet number, the viscosity variation number, the dimensionless wall heat flux, and the aspect ratio (width to height ratio). These expressions let a parametric study of the problem based on which it is observed that the entropy generated due to flow in a duct of square cross-section is more than those of rectangular counterparts while increasing the aspect ratio decreases the entropy generation rate similar to what previously reported for the clear flow case [2].

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Flow, thermal, and entropy generation characteristics inside a porous channel with viscous dissipation

Cited by 123 publications

References 27 publications

Combined Effect of Buoyancy Force and Navier Slip on Entropy Generation in a Vertical Porous Channel

Combined Effect of Buoyancy Force and Navier Slip on Entropy Generation in a Vertical Porous Channel

Heat transfer and second law analyses of forced convection in a channel partially filled by porous media and featuring internal heat sources

Effects of temperature-dependent viscosity variation on entropy generation, heat and fluid flow through a porous-saturated duct of rectangular cross-section

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