NON-DARCY MIXED CONVECTION IN A FLUID-SATURATED SQUARE POROUS ENCLOSURE UNDER SUCTION EFFECT: PART I

B. V. Rathish Kumar; Somanchi V S S N V G Krishna Murthy; Vivek Sangwan; Mohit Nigam; Peeyush Chandra

doi:10.1615/JPorMedia.v13.i6.40

Journal of Porous Media

Editor-in-Chief: Kambiz Vafai (open in a new tab)

Published 12 issues per year

ISSN Print: 1091-028X

ISSN Online: 1934-0508

Indexed in

NON-DARCY MIXED CONVECTION IN A FLUID-SATURATED SQUARE POROUS ENCLOSURE UNDER SUCTION EFFECT: PART I

Volume 13, Issue 6, 2010, pp. 537-554

DOI: 10.1615/JPorMedia.v13.i6.40

Get access

B. V. Rathish Kumar
Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur-208016, UP, India

Somanchi V S S N V G Krishna Murthy
Department of Applied Mathematics, Defence Institute of Advanced Technology, Gririnagar, Pune 411025, India

Vivek Sangwan
Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur 208016, India

Mohit Nigam
Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur, India 208016

Peeyush Chandra
Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur 208016, India

ABSTRACT

In this study, volume-averaged equations governing the steady mixed convection flow in a vertical square enclosure filled with a non-Darcian fluid-saturated homogeneous porous medium are investigated numerically by the Galerkin finite element method. The forced flow conditions are imposed by providing an inlet at the bottom wall and an outlet with suction on the top wall. The free convection is induced by introducing a hot but isothermal temperature on the left vertical wall together with Boussinesq approximation on density. Detailed numerical simulations are carried out for a wide range of governing parameters such as Grashof Number (Gr*), Rayleigh Number (Ra), suction/injection velocity (a), and suction/injection width (D/H) as a fraction of the length of the square enclosure.

KEY WORDS: mixed convection, suction/injection, porous medium, non-Darcy

CITED BY

Kumar B. V. Rathish, Krishna Murthy S. V. S. S. N. V. G., A Finite Element Study of Double Diffusive Mixed Convection in a Concentration Stratified Darcian Fluid Saturated Porous Enclosure under Injection/Suction Effect, Journal of Applied Mathematics, 2012, 2012. Crossref
Krishna Murthy S.V.S.S.N.V.G., Kumar B.V. Rathish, Nigam Mohit, A parallel finite element study of 3D mixed convection in a fluid saturated cubic porous enclosure under injection/suction effect, Applied Mathematics and Computation, 269, 2015. Crossref
Kumar B. V. Rathish, Nigam Mohit, Kumari Priti, Sharma Parul, Parallel numerical computation of mixed convection in a square enclosure with multiple heat sources on Anucluster, International Journal of Advances in Engineering Sciences and Applied Mathematics, 7, 3, 2015. Crossref
Nield Donald A., Bejan Adrian, Mixed Convection, in Convection in Porous Media, 2017. Crossref
Nield Donald A., Bejan Adrian, Mixed Convection, in Convection in Porous Media, 2013. Crossref

454 Article views 26 Article downloads Metrics

454 VIEWS 26 DOWNLOADS 5 Crossref CITATIONS Google
Scholar CITATIONS

Articles with similar content:

MHD NATURAL CONVECTION IN A POROUS EQUILATERAL TRIANGULAR ENCLOSURE WITH A HEATED SQUARE BODY IN THE PRESENCE OF HEAT GENERATION Special Topics & Reviews in Porous Media: An International Journal, Vol.6, 2015, issue 4
Md. Abdul Hakim Khan, Raju Chowdhury, Ali J. Chamkha, Salma Parvin

ON THE ONSET OF NATURAL CONVECTION IN A PARTIALLY COOLED CYLINDER Heat Transfer Research, Vol.49, 2018, issue 8
Jose Nuñez , Alberto Beltran

STRATIFICATION EFFECT ON FREE CONVECTIVE DARCY FOR CHHEIMER BOUNDARY LAYER FLOW UNDER MULTIPLE INTERACTING FORCES Computational Thermal Sciences: An International Journal, Vol.10, 2018, issue 1
B. V. Rathish Kumar, Somanchi V.S.S.N.V.G. Krishna Murthy, Frédéric Magoulès, Vinay Kumar

THERMAL-ENTRANCE-REGION HEAT TRANSFER FOR A NON-NEWTONIAN LAMINAR FLOW IN A CONCENTRIC ANNULUS WITH AN AXIALLY MOVING CORE International Heat Transfer Conference 13, Vol.0, 2006, issue
Ganbat Davaa, Toru Shigechi, Satoru Momoki, Odgerel Jambal

Magnetohydrodynamic Free Convection Heat Transfer in a Square Enclosure heated from side and cooled from the ceiling Computational Thermal Sciences: An International Journal, Vol.3, 2011, issue 3
Zeynab Talea'pour, Mostafa Mahmoodi

Latest Issue

GRAVITY MODULATION AND ITS IMPACT ON WEAKLY NONLINEAR BIOTHERMAL CONVECTION IN A POROUS LAYER UNDER ROTATION: A GINZBURG−LANDAU MODEL APPROACH Michael Kopp, V. V. Yanovsky ELASTIC INTERACTIONS BETWEEN EQUILIBRIUM PORES/HOLES IN POROUS MEDIA UNDER REMOTE STRESS Kostas Davanas 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 G. Oduor, J. Du FRACTAL STUDY ON HEAT TRANSFER CHARACTERISTICS OF FRACTURED DUAL POROUS MEDIA WITH ROUGH SURFACE Shanshan Yang, Qiong Sheng, Mingqing Zou, Mengying Wang, Ruike Cui, Shuaiyin Chen, Qian Zheng

Forthcoming Articles

Study on Adsorption-desorption Characteristics and Mechanism of Gaseous Water in Shale Na Zhang, Shuaidong Wang, Xinyue Wang, Hao Wang, Can Huang, Zheng Li Heat And Mass Transfer of Oldroyd-B And Jeffery-Williamson Ternary-Hybrid Nanofluids Over A Stretching Sheet In A Porous Medium Ahmed M. Rashad, Hossam Nabwey, Waqar A. Khan, Zeinab Abdelrahman, shereen abdelnaiem, Miad Abu Hawsah Steady Newtonian fluid flow in nephritis with linear dripping at the walls Nosheen Zareen Khan, A. M Siddiqui, Mostafa Zahri 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 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 ELASTIC INTERACTIONS BETWEEN EQUILIBRIUM PORES/HOLES IN POROUS MEDIA UNDER REMOTE STRESS Kostas Davanas 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