Library Subscription: Guest

Criterion for Local Thermal Equilibrium in Forced Convection Flow Through Porous Media

Volume 12, Issue 11, 2009, pp. 1103-1111
DOI: 10.1615/JPorMedia.v12.i11.60
Get accessGet access

ABSTRACT

In this paper, a general criterion for local thermal equilibrium is presented in terms of parameters including the effective fluid Prandtl number, the particle Reynolds number, the effective solid-to-fluid thermal conductivity ratio, the Darcy number, the Nusselt number, and porosity. In order to check the validity of the proposed criterion for local thermal equilibrium, the forced convection phenomena in the porous medium between two parallel plates subjected to constant temperature are studied by a numerical method based on the Brinkman-Forchheimer extended Darcy model. The proportion of temperature difference between solid and fluid phases in a representative elementary volume to the temperature rise of fluid is studied by comparing the effects of relevant parameters in this new criterion. In addition, the proposed criterion is consistent with the existing experimental and numerical results for convection heat transfer in porous medium.

CITED BY
  1. Yang Chen, Nakayama Akira, Liu Wei, Heat transfer performance assessment for forced convection in a tube partially filled with a porous medium, International Journal of Thermal Sciences, 54, 2012. Crossref

  2. Nield Donald A., Bejan Adrian, Forced Convection, in Convection in Porous Media, 2017. Crossref

  3. Gossler Manuel A., Bayer Peter, Zosseder Kai, Experimental investigation of thermal retardation and local thermal non-equilibrium effects on heat transport in highly permeable, porous aquifers, Journal of Hydrology, 578, 2019. Crossref

  4. Nield Donald A., Bejan Adrian, Internal Natural Convection: Heating from the Side, in Convection in Porous Media, 2013. Crossref

  5. Guo Y., Hu X., Banks J., Liu W.V., Considering buried depth in the moving finite line source model for vertical borehole heat exchangers—A new solution, Energy and Buildings, 214, 2020. Crossref

  6. Gossler Manuel A., Bayer Peter, Rau Gabriel C., Einsiedl Florian, Zosseder Kai, On the Limitations and Implications of Modeling Heat Transport in Porous Aquifers by Assuming Local Thermal Equilibrium, Water Resources Research, 56, 10, 2020. Crossref

  7. Baek Ji-Young, Park Byeong-Hak, Rau Gabriel C., Lee Kang-Kun, Experimental evidence for local thermal non-equilibrium during heat transport in sand representative of natural conditions, Journal of Hydrology, 608, 2022. Crossref

  8. Guo Yunting, Hu Xincheng, Banks Jonathan, Liu Wei Victor, Considering buried depth for vertical borehole heat exchangers in a borehole field with groundwater flow—An extended solution, Energy and Buildings, 235, 2021. Crossref

Forthcoming Articles

Effects of Momentum Slip and Convective Boundary Condition on a Forced Convection in a Channel Filled with Bidisperse Porous Medium (BDPM) Vanengmawia PC, Surender Ontela ON THERMAL CONVECTION IN ROTATING CASSON NANOFLUID PERMEATED WITH SUSPENDED PARTICLES IN A DARCY-BRINKMAN POROUS MEDIUM Pushap Sharma, Deepak Bains, G. C. Rana Effect of Microstructures on Mass Transfer inside a Hierarchically-structured Porous Catalyst Masood Moghaddam, Abbas Abbassi, Jafar Ghazanfarian Insight into the impact of melting heat transfer and MHD on stagnation point flow of tangent hyperbolic fluid over a porous rotating disk Priya Bartwal, Himanshu Upreti, Alok Kumar Pandey Numerical Simulation of 3D Darcy-Forchheimer Hybrid Nanofluid Flow with Heat Source/Sink and Partial Slip Effect across a Spinning Disc Bilal Ali, Sidra Jubair, Md Irfanul Haque Siddiqui Fractal model of solid-liquid two-phase thermal transport characteristics in the rough fracture network shanshan yang, Qiong Sheng, Mingqing Zou, Mengying Wang, Ruike Cui, Shuaiyin Chen, Qian Zheng Application of Artificial Neural Network for Modeling of Motile Microorganism-Enhanced MHD Tangent Hyperbolic Nanofluid across a vertical Slender Stretching Surface Bilal Ali, Shengjun Liu, Hongjuan Liu Estimating the Spreading Rates of Hazardous Materials on Unmodified Cellulose Filter Paper: Implications on Risk Assessment of Transporting Hazardous Materials Heshani Manaweera Wickramage, Pan Lu, Peter Oduor, Jianbang Du ELASTIC INTERACTIONS BETWEEN EQUILIBRIUM PORES/HOLES IN POROUS MEDIA UNDER REMOTE STRESS Kostas Davanas Gravity modulation and its impact on weakly nonlinear bio-thermal convection in a porous layer under rotation: a Ginzburg-Landau model approach Michael Kopp, Vladimir Yanovsky Pore structure and permeability behavior of porous media under in-situ stress and pore pressure: Discrete element method simulation on digital core Jun Yao, Chunqi Wang, Xiaoyu Wang, Zhaoqin Huang, Fugui Liu, Quan Xu, Yongfei Yang Influence of Lorentz forces on forced convection of Nanofluid in a porous lid driven enclosure Yi Man, Mostafa Barzegar Gerdroodbary SUTTERBY NANOFLUID FLOW WITH MICROORGANISMS AROUND A CURVED EXPANDING SURFACE THROUGH A POROUS MEDIUM: THERMAL DIFFUSION AND DIFFUSION THERMO IMPACTS galal Moatimid, Mona Mohamed, Khaled Elagamy CHARACTERISTICS OF FLOW REGIMES IN SPIRAL PACKED BEDS WITH SPHERES Mustafa Yasin Gökaslan, Mustafa Özdemir, Lütfullah Kuddusi Numerical study of the influence of magnetic field and throughflow on the onset of thermo-bio-convection in a Forchheimer‑extended Darcy-Brinkman porous nanofluid layer containing gyrotactic microorganisms Arpan Garg, Y.D. Sharma, Subit K. Jain, Sanjalee Maheshwari A nanofluid couple stress flow due to porous stretching and shrinking sheet with heat transfer A. B. Vishalakshi, U.S. Mahabaleshwar, V. Anitha, Dia Zeidan ROTATING WAVY CYLINDER ON BIOCONVECTION FLOW OF NANOENCAPSULATED PHASE CHANGE MATERIALS IN A FINNED CIRCULAR CYLINDER Noura Alsedais, Sang-Wook Lee, Abdelraheem Aly Porosity Impacts on MHD Casson Fluid past a Shrinking Cylinder with Suction Annuri Shobha, Murugan Mageswari, Aisha M. Alqahtani, Asokan Arulmozhi, Manyala Gangadhar Rao, Sudar Mozhi K, Ilyas Khan CREEPING FLOW OF COUPLE STRESS FLUID OVER A SPHERICAL FIELD ON A SATURATED BIPOROUS MEDIUM Shyamala Sakthivel , Pankaj Shukla, Selvi Ramasamy
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections Prices and Subscription Policies Begell House Contact Us Language English 中文 Русский Português German French Spain