Numerical investigation of heat transfer enhancement in a pipe partially filled with a porous material under local thermal non-equilibrium condition

Mahmoudi, Yasser; Karimi, Nader

doi:10.1016/j.ijheatmasstransfer.2013.09.020

Cited by 131 publications

(67 citation statements)

References 33 publications

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“…(3b) and (3c) are equivalent to model A of Yang and Vafai [31], which has been also used in the investigations of partially filled channels [16,29]. It is emphasised here that previous works [14][15][16] have demonstrated that the choice of porous-fluid boundary condition has significant effects upon the thermal behaviour of the system. In order to make analytical progress with the energy equations (2a) and (2b), their left hand sides should be evaluated.…”

Section: Governing Equationsmentioning

confidence: 99%

“…The latter, however, is regarded as local thermal non-equilibrium (LTNE), or two-energy equation model [11,12]. Although LTE model [11] has been used extensively in heat transfer analyses [11], LTNE model is receiving an increasing attention from the research community [13][14][15][16]. This stems from the fact that in the emerging fields such as MEMS and biotechnology as well as some classical areas, such as chemical and nuclear engineering, the accuracy of the analysis is of primary importance [12,17].…”

Section: Introductionmentioning

confidence: 99%

“…Yet, the pumping power and the consequent expenses are maintained within a reasonable range. These attractive features have resulted in a significant number of published studies on the thermal aspects of partially filled systems, see for example [14][15][16]29]. In the partially filled systems, the thermal boundary condition of the interface of the porous material and clear fluid poses a fundamental difficulty.…”

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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Section: Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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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“…In a separate work Yang and Vafai [34] analysed the validity of local thermal equilibrium in a partially filled channel with constant heat flux walls and under five different interface models. Mahmoudi and Karimi [35] considered a partially filled pipe under constant wall temperature boundary condition. They numerically solved the Darcy-Brinkman-Forshheimer model of fluid flow along with the two-equation energy transport and interface models of A and B [35].…”

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confidence: 99%

On the effects of exothermicity and endothermicity upon the temperature fields in a partially-filled porous channel

Karimi

Agbo

Khan

et al. 2015

International Journal of Thermal Sciences

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. (2015) On the effects of exothermicity and endothermicity upon the temperature fields in a partially-filled porous channel. International Journal of Thermal Sciences. Copyright © 2015 ElsevierA copy can be downloaded for personal non-commercial research or study, without prior permission or charge Content must not be changed in any way or reproduced in any format or medium without the formal permission of the copyright holder assumption and, therefore, the validity of the LTE is examined. This is done for a wide range of pertinent parameters including Biot number, conductivity ratio, Darcy number and thickness of the porous insert. It is found that the thermal behaviour of the investigated partially filled system is influenced by the heat sources in both solid and fluid phase. It is further shown that the LTE approach remains an acceptable assumption only for some specific regions of the parametric space. Furthermore, the occurrence of temperature gradient bifurcation on the surface of the porous-fluid interface is examined.It is demonstrated that this effect is highly sensitive to the intensity of the energy sources.

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“…Alkam et al researched the heat transfer in parallel plates with porous inserts and the effects of thermal conduction ratio, Darcy number, and microscopic inertial coefficient were presented [24]. A local thermal non-equilibrium model is another research interest [25][26][27]. Besides, there is experimental research about heat transfer of air or water in ducts or channels with porous inserts or ribs [28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Numerical heat transfer analysis of transcritical hydrocarbon fuel flow in a tube partially filled with porous media

et al. 2016

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Hydrocarbon fuel has been widely used in airbreathing scramjets and liquid rocket engines as coolant and propellant. However, possible heat transfer deterioration and threats from local high heat flux area in scramjet make heat transfer enhancement essential. In this work, 2-D steady numerical simulation was carried out to study different schemes of heat transfer enhancement based on a partially filled porous media in a tube. Both boundary and central layouts were analyzed and effects of gradient porous media were also compared. The results show that heat transfer in the transcritical area is enhanced at least 3 times with the current configuration compared to the clear tube. Besides, the proper use of gradient porous media also enhances the heat transfer compared to homogenous porous media, which could help to avoid possible overtemperature in the thermal protection.

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Numerical investigation of heat transfer enhancement in a pipe partially filled with a porous material under local thermal non-equilibrium condition

Abstract: 11This paper examines numerically the heat transfer enhancement in a pipe 12 partially filled with a porous medium under Local Thermal Non-Equilibrium 13(LTNE) condition. The flow inside the porous material is modelled using the

Cited by 131 publications

References 33 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

On the effects of exothermicity and endothermicity upon the temperature fields in a partially-filled porous channel

Numerical heat transfer analysis of transcritical hydrocarbon fuel flow in a tube partially filled with porous media

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