Library Subscription: Guest

NATURAL CONVECTION HEAT TRANSFER IN A HORIZONTAL CONCENTRIC ELLIPTIC ANNULUS CONTAINING SATURATED POROUS MEDIA

Volume 15, Issue 6, 2012, pp. 567-584
DOI: 10.1615/JPorMedia.v15.i6.50
Get accessGet access

ABSTRACT

Natural convection heat transfer in a horizontal elliptic annulus filled with saturated porous media is investigated experimentally and numerically. The inner horizontal elliptic tube is heated under constant heat flux conditions and is located concentrically in a larger isothermally cooled horizontal cylinder. Both ends of the water-saturated porous annulus are closed. The heated elliptic tube was made of copper material and has an axis ratio (AR = a/b) of 3.0. The porous media used in the experiments were made of sandstone and glass materials with different solid thermal conductivities and particle diameters. The elliptic tube orientation angle is varied from 0° to 90°, and the hydraulic radius ratio, HRR = Ro/Ri, is 6.85. The numerical solution scheme is based on a two-dimensional model, which is governed by Darcy-Boussinseq equations. The inner elliptic cylinder is heated isothermally, while the outer circular cylinder is also cooled isothermally. Discretization of the governing equations is achieved using a finite element scheme based on Galerkin method of weighted residuals. The effect of pertinent parameters such as modified Rayleigh number, Ra (Rayleigh-Darcy), orientation angle of the elliptic cylinder, δ, and the axis ratio of the elliptic cylinder, AR, is investigated. The numerical results obtained from the present model are compared with the available published results and with the present experimental results, and good agreement is found. The variation of the average Nusselt number with the investigated parameters is presented. It is concluded that the effect of modified Rayleigh number, which includes the effect of fluid properties, porous medium properties, and operating conditions on the average Nusselt number, is more significant than the effect of the geometric parameters such as the elliptic cylinder orientation angle and the elliptic cylinder axis ratio. The results showed that the average Nusselt number increases with the increase of the modified Rayleigh number. Also, the flow and heat transfer characteristics are illustrated via stream function and isotherms contours. Moreover, an empirical correlation for the average Nusselt number is obtained as a function of Rayleigh number, elliptic cylinder orientation angle, and elliptic cylinder axis ratio.

CITED BY
  1. Nield Donald A., Bejan Adrian, Internal Natural Convection: Heating from the Side, in Convection in Porous Media, 2017. Crossref

  2. Belabid Jabrane, Allali Karam, Thermo-bioconvection in horizontal wavy-walled porous annulus, European Journal of Mechanics - B/Fluids, 89, 2021. Crossref

Forthcoming Articles

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