Analysis of fluid flow and heat transfer in a channel with intermittent heated porous blocks

Chikh, Salah; Boumedien, A.; Bouhadef, Khedidja; Lauriat, Guy

doi:10.1007/s002310050208

Cited by 43 publications

(20 citation statements)

References 9 publications

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“…The computation CPU times were approximately from 9 h, 56 min, and 43 s to 19 h, 5 min, and 26 s in all cases. Comparing the local Nusselt number over each heated part with the results of Hadim [11] in two cases may verify the correctness of the program applied in this paper. The current analysis infers discrepancies less than 3.5%, as displayed in Fig.…”

Section: Resultsmentioning

confidence: 79%

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Unsteady convection heat transfer for a porous square cylinder varying cylinder-to-channel height ratio

Perng

Wang

et al. 2011

International Journal of Thermal Sciences

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Section: Resultsmentioning

confidence: 79%

“…The fluid enters the channel with uniform velocity and temperature. The flow is modeled by the DarcyeBrinkmaneForchheimer [11] equation in the porous matrix in order to account for inertia and viscous effects. NaviereStokes equations and energy equation are used for the fluid domain and the thermal field respectively.…”

Section: Mathematical Formulationmentioning

confidence: 99%

Unsteady convection heat transfer for a porous square cylinder varying cylinder-to-channel height ratio

Perng

Wang

et al. 2011

International Journal of Thermal Sciences

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“…The global Nusselt number has increased with more than 50% and the maximum temperature has been reduced in the blocks compared to the pure¯uid case. Chikh et al [11] have considered a parallel plate channel with equally spaced porous blocks attached on the partially heated lower plate. Under certain circumstances, they showed that the blocks may alter substantially the¯ow pattern, improve the heat transfer and reduce the wall temperature.…”

Section: List Of Symbolsmentioning

confidence: 99%

Enhancement of electronic cooling by insertion of foam materials

Rachedi

Chikh

2001

Heat and Mass Transfer

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A numerical investigation of electronic cooling enhancement is carried out in this study in order to determine how the operating temperature can be maintained under the allowable level. A new technique based on use of porous or foam material inserted between the components on a horizontal board is studied. One energy equation model has been adopted to analyse the thermal ®eld. The control volume method based on ®nite differences with appropriate averaging for diffusion coef®cients is used to solve the coupling between solid,¯uid and porous regions. The effect of parameters such as Reynolds number, Darcy number and thermal conductivity ratio are considered in order to look for the most appropriate properties of the foam or porous substrate that allow optimal cooling. The results show that for high thermal conductivity of the porous substrate, substantial enhancement is obtained compared to the¯uid case even if the permeability is low. In the mixed convection case, the insertion of the foam between the blocks leads to a temperature reduction of 50%. List of symbolsA binary function b source term B binary function c height of the blocks, m C dimensionless height of the blocks C c=H c E Ergun constant c p¯u id speci®c heat, J/kg Á K Da Darcy number e thickness of the porous matrix, m E dimensionless thickness of the porous matrix E e=H H channel height, m k thermal conductivity, W/m Á K K permeability of the porous material, m 2 l channel length, m L dimensionless channel length L l=H l 1 entrance length, m l 2 length after the last block, m Nu Nusselt number p pressure, N/m 2 P dimensionless pressure Pr¯uid Prandtl number q local heat dissipation, W/m 3 Q heat dissipation per unit length in each block, W/m Re Reynolds number R k thermal conductivity ratio R m viscosity ratio s spacing between the blocks, m S dimensionless spacing between the blocks S s=H T temperature, K u axial velocity, m/s U dimensionless axial velocity U u=u 0 v transverse velocity, m/s V dimensionless transverse velocity V v=u 0 w block width, m W dimensionless block width W w=H x axial co-ordinate, m X dimensionless axial co-ordinate X x=H y transverse co-ordinate, m Y dimensionless transverse co-ordinate Y y=H Greek symbols a thermal diffusivity of the¯uid b thermal expansion coef®cient of the¯uid, 1=K e porosity k inertial coef®cient l dynamic viscosity, kg/m Á s m kinematic viscosity of the¯uid h dimensionless temperature q¯uid density, kg/m 3 w stream function, m 2 /s

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“…Chikh et al (1998) showed that the blocks may substantially alter the flow pattern, improve the heat transfer, and reduce the wall temperature. Chiem and Zhao (2004) found that the recirculation caused by the porous covering block significantly enhances the heat transfer rate on both top and right faces of the second and subsequent blocks.…”

mentioning

confidence: 98%

“…Fluid flow and heat transfer in a channel was investigated for porous heated blocks placed on the bottom plate of channel by Chikh et al (1998), Chiem and Zhao (2004), and Bae et al (2004) and for staggered porous blocks by Da Silva Miranda and Anand (2004). Chikh et al (1998) showed that the blocks may substantially alter the flow pattern, improve the heat transfer, and reduce the wall temperature.…”

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confidence: 99%

Numerical Study of Heat Transfer in a Rectangular Channel with Porous Covering Obstacles

Yücel

Guven

2008

Transp Porous Med

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A numerical study is performed to analyze steady laminar forced convection in a channel in which discrete heat sources covered with porous material are placed on the bottom wall. Hydrodynamic and heat transfer results are reported. The flow in the porous medium is modeled using the Darcy-Brinkman-Forchheimer model. A computer program based on control volume method with appropriate averaging for diffusion coefficient is developed to solve the coupling between solid, fluid, and porous region. The effects of parameters such as Reynolds number, Prandtl number, inertia coefficient, and thermal conductivity ratio are considered. The results reveal that the porous cover with high thermal conductivity enhances the heat transfer from the solid blocks significantly and decreases the maximum temperature on the heated solid blocks. The mean Nusselt number increases with increase of Reynolds number and Prandtl number, and decrease of inertia coefficient. The pressure drop along the channel increases rapidly with the increase of Reynolds number.

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Analysis of fluid flow and heat transfer in a channel with intermittent heated porous blocks

Cited by 43 publications

References 9 publications

Unsteady convection heat transfer for a porous square cylinder varying cylinder-to-channel height ratio

Unsteady convection heat transfer for a porous square cylinder varying cylinder-to-channel height ratio

Enhancement of electronic cooling by insertion of foam materials

Numerical Study of Heat Transfer in a Rectangular Channel with Porous Covering Obstacles

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