Perturbation Analysis of the Local Thermal Non-equilibrium Condition in a Fluid-Saturated Porous Medium Bounded by an Iso-thermal Channel

Dehghan, Maziar; Valipour, Mohammad Sadegh; Saedodin, Seyfolah

doi:10.1007/s11242-013-0267-2

Cited by 41 publications

(17 citation statements)

References 25 publications

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“…Comparisons were, further, made with the previously published works and good agreements were observed [25,26].…”

Section: Introductionmentioning

confidence: 52%

“…One of the pioneering works in this area was done by Nield [13]. Following Nield's persuasive work, many scholars have tried to re-examine thermal porous systems from the LTNE perspective [18][19][20][21][22][23][24][25][26]. Bortolozzi and…”

Section: Introductionmentioning

confidence: 99%

“…Through using the classical definition of the thermal entry length on the basis of Nusselt number, the dimensionless thermal entry length was predicted [24]. Dehghan et al [25,26] considered both Darcy and Forchheimer terms in the momentum equation but neglected the viscous dissipation in the energy equation. Perturbation technique was employed by these authors to tackle the resultant nonlinear governing equations [25,26] and semi-analytical solutions for the temperature and Nusselt number were derived.…”

Section: Introductionmentioning

confidence: 99%

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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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“…Comparisons were, further, made with the previously published works and good agreements were observed [25,26].…”

Section: Introductionmentioning

confidence: 52%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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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“…They used perturbation methods to represent dimensionless velocity and temperature distributions at iso-flux boundary conditions. Dehghan et al [13,14] investigated forced convection in a plane channel and tube filled with porous media. The local thermal non-equilibrium condition for energy equations was assumed and a new dimensionless number was introduced in order to representing the intensity of the LTNE condition.…”

Section: Introductionmentioning

confidence: 99%

Variable conductivity in forced convection for a tube filled with porous media: A perturbation solution

Jamal-Abad

Saedodin

Aminy

2018

Ain Shams Engineering Journal

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In this study, the forced convective in a tube filled with porous media is investigated analytically based on the perturbation methods. Thermal conductivity of the medium is assumed to be a linear function of radius. The Brinkman-Forchheimer-extended Darcy and local thermal equilibrium models are applied for momentum and energy equations. Analytical expressions for the temperature profile and Nusselt number as functions of porous medium shape parameter and thermal conductivity variation parameter are introduced. An analytical expression of the Nusselt number based on a variable conductivity with radius for the extended model of Darcy-Brinkman-Forchhei mer has not been previously proposed, and the present study aims at filling this gap. The effects of porous media shape parameter (s), Forchheimer number (F) and linear parameter of conductivity (e) on the Nusselt number and temperature profile are discussed. Results show that the Nusselt number increases with a linear increase in the thermal conductivity of the medium. Ó 2016 Faculty of Engineering, Ain Shams University. Production and hosting by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

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“…Besides decreasing the dimension of flow passage to improve the heat transfer ability per unit area of conventional heat exchangers [1][2][3][4][5][6][7], other novel techniques are used to enhance the thermal performance of such systems like using converging flow passages [8][9][10], geometrical optimizations [11][12][13][14][15], or filling the flow passages with porous materials [16][17][18][19][20][21]. Microchannels have been used in industries and researches from electronic cooling to biotechnology.…”

Section: Introductionmentioning

confidence: 99%

Microchannels enhanced by porous materials: Heat transfer enhancement or pressure drop increment?

Dehghan

Valipour

Saedodin

2016

Energy Conversion and Management

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Perturbation Analysis of the Local Thermal Non-equilibrium Condition in a Fluid-Saturated Porous Medium Bounded by an Iso-thermal Channel

Cited by 41 publications

References 25 publications

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

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

Variable conductivity in forced convection for a tube filled with porous media: A perturbation solution

Microchannels enhanced by porous materials: Heat transfer enhancement or pressure drop increment?

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