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Fines Migration in Aquifers and Oilfields: Laboratory and Mathematical Modelling Read chapter Read first chapter

2018 | OriginalPaper | Chapter

Natural Convection of Cold Water Near Its Density Maximum in a Porous Wavy Cavity

Author : S. Sivasankaran

Published in: Flow and Transport in Subsurface Environment

Publisher: Springer Singapore

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Abstract

The aim of the present numerical study is to investigate the buoyant convective flow and heat transfer of cold water near its density maximum in a wavy porous square cavity. The vertical left wall of the cavity is heated, while the wavy right wall is cooled at a constant temperature. The top and bottom walls are taken to be adiabatic. The Darcy model is adapted for fluid flow through the porous medium inside the cavity. The governing equations are solved numerically using the finite volume method over a range of wavy wall’s amplitude and a number of undulation, density inversion parameter, and Darcy–Rayleigh numbers. The waviness of the cavity enhances the heat transfer. The density maximum leaves a strong effect on fluid flow and temperature distribution inside the cavity.

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previous chapter Natural Convection in an Inclined Parallelogrammic Porous Enclosure
next chapter Convective Mass and Heat Transfer of a Chemically Reacting Fluid in a Porous Medium with Cross Diffusion Effects and Convective Boundary
Literature
Baytas AC, Pop I (1999) Free convection in oblique enclosures filled with a porous medium. Int J Heat Mass Transf 42:1047–1057CrossRef
Benhadji K, Robillard L, Vasseur P (2002) Convection in a Porous cavity saturated with water near 4 °C and subject to Dirichlet-Newmann thermal boundary conditions. Int Commun Heat Mass Transf 29(7):897–906CrossRef
Bhuvaneswari M, Sivasankaran S, Kim YJ (2011) Effect of aspect ratio on natural convection in a porous enclosure with partially active thermal walls. Comput Math Appl 62:3844–3856MathSciNetCrossRef
Braga SL, Viskanta R (1992) Transient natural convection of water near its density extremum in a rectangular cavity. Int J Heat Mass Transf 35(4):861–875CrossRef
Chen XB, Yu P, Winoto SH, Low HT (2007) Free convection in a porous wavy cavity based on the Darcy-Brinkman-Forchheimer extended model. Numer Heat Transf, Part A 52(4):377–397CrossRef
Das PK, Mahmud S, Tasnim SH, Islam AKMS (2003) Effect of surface waviness and aspect ratio on heat transfer inside a wavy enclosure. Int J Numer Methods Heat Fluid Flow 13(8):1097–1122CrossRef
Ho CJ, Lin YH (1988) Laminar natural convection of cold water enclosed in a horizontal annulus with mixed boundary conditions. Int J Heat Mass Transf 31:2113–2121CrossRef
Ho CJ, Lin YH (1990) Natural convection of cold water in a vertical annulus with constant heat flux on the inner wall. ASME J Heat Transf 112:117–123CrossRef
Ho CJ, Tu FJ (2001) Visualization and prediction of natural convection of water near its density maximum in a tall rectangular enclosure at high Rayleigh numbers. J Heat Transf 123:84–95CrossRef
Hossain MA, Rees DAS (2005) Natural convection flow of water near its density maximum in a rectangular enclosure having isothermal walls with heat generation. Heat Mass Transf 41:367–374CrossRef
Inaba H, Fukuda T (1984) An experimental study of natural convection in an inclined rectangular cavity filled with water at its density extremum. J Heat Transf 106:109–117CrossRef
Ishikawa M, Hirata T, Noda S (2000) Numerical simulation of natural convection with density inversion in a square cavity. Numer Heat Transf, Part A 37:395–406CrossRef
Kandaswamy P, Kumar K (1999) Buoyancy-driven nonlinear convection in a square cavity in the presence of magnetic field. Acta Mech 136:29–39CrossRef
Kaviany M (1995) Principles of heat transfer in porous media, 2nd edn. Springer-Verlag, New YorkCrossRef
Khanafer K, Al-Azmi B, Marafie A, Pop I (2009) Non-Darcian effects on natural convection heat transfer in a wavy porous enclosure. Int J Heat Mass Transf 52(7–8):1887–1896CrossRef
Lankford KE, Bejan A (1986) Natural convection in a vertical enclosure filled with water near 4 °C. ASME J Heat Transf 108:755–763CrossRef
Lin DS, Nansteel MW (1987) Natural convection heat transfer in a square enclosure containing water near its density maximum. Int J Heat Mass Transf 30(11):2319–2329CrossRef
Mansour MA, El-Aziz MMA, Mohamed RA, Ahmed SE (2011) Numerical simulation of natural convection in wavy porous cavities under the influence of thermal radiation using a thermal non-equilibrium model. Transp Porous Media 86:585–600CrossRef
McDonough MW, Faghri A (1994) Experimental and numerical analyses of the natural convection of water through its density maximum in a rectangular enclosure. Int J Heat Mass Transf 37(5):783–801CrossRef
Misirlioglu A, Baytas AC, Pop I (2005) Free convection in a wavy cavity filled with a porous medium. Int J Heat Mass Transf 48(9):1840–1850CrossRef
Misirlioglu A, Baytas AC, Pop I (2006) Natural convection inside an inclined wavy enclosure filled with a porous medium. Transp Porous Media 64(2):229–246CrossRef
Moraga NO, Vega SA (2004) Unsteady three-dimensional natural convection of water cooled inside a cubic enclosure. Numer Heat Transf, Part A 45:825–839CrossRef
Murthy PVSN, Ratish Kumar BV, Singh P (1997) Natural convection heat transfer from a horizontal wavy surface in a porous enclosure. Numer Heat Transfer, Part A 31(2):207–221CrossRef
Nansteel MW, Medjani K, Lin DS (1987) Natural convection of water near its density maximum in a rectangular enclosure: low Rayleigh number calculations. Phys Fluids 30(2):312–317CrossRef
Nield DA, Bejan A (2013) Convection in porous media, 4th edn. Springer, New YorkCrossRef
Ratish Kumar BV (2000) A study of free convection induced by a vertical wavy surface with heat flux in a porous enclosure. Numer Heat Transf, Part A 37(5):493–510CrossRef
Ratish Kumar BV, Shalini (2003) Free convection in a non-Darcian wavy porous enclosure. Int J Eng Sci 41(16):1827–1848CrossRef
Robillard L, Vasseur P (1981) Transient natural convection heat transfer of water with maximum density effect and supercooling. ASME J Heat Transf 103:528–534CrossRef
Robillard L, Vasseur P (1982) Convection response of a mass of water near 4 °C to a constant cooling rate applied on its boundaries. J Fluid Mech 118:123–141CrossRef
Saeid NH, Pop I (2004a) Maximum density effects on natural convection from a discrete heater in a cavity filled with a porous medium. Acta Mech 171:203–212CrossRef
Saeid NH, Pop I (2004b) Transient free convection in a square cavity filled with a porous medium. Int J Heat Mass Transf 47:1917–1924CrossRef
Sankar M, Bhuvaneswari M, Sivasankaran S, Do Y (2011) Buoyancy induced convection in a porous cavity with partially thermally active sidewalls. Int J Heat Mass Transf 54:5173–5282CrossRef
Seki N, Fukusako S, Nakaoka M (1975) Experimental study on natural convection heat transfer with density inversion of water between two horizontal concentric cylinders. ASME J Heat Transf 75:556–561CrossRef
Sivasankaran S, Ho CJ (2008a) Effect of temperature dependent properties on convection of water near its density maximum in enclosures. Numer Heat Transf, Part A 53:507–523CrossRef
Sivasankaran S, Ho CJ (2008b) Effect of temperature dependent properties on MHD convection of water near its density maximum in a square cavity. Int J Thermal Sci 47:1184–1194CrossRef
Sivasankaran S, Ho CJ (2010) Buoyancy and thermo-capillary induced convection of cold water in an open enclosure with variable fluid properties. Numer Heat Transf, Part A 58(6):457–474CrossRef
Sivasankaran S, Kandaswamy P (2007) Double diffusive convection of water in a rectangular partitioned enclosure with conductive baffle on hot wall. Arabian J Sci Eng 32(1B):35–48
Sivasankaran S, Kandaswamy P, Ng CO (2008) Double diffusive convection of anomalous density fluids in a cavity. Transp Porous Media 71(2):133–145MathSciNetCrossRef
Sivasankaran S, Bhuvaneswari M, Kim YJ, Ho CJ, Pan KL (2011) Magneto-convection of cold water near its density maximum in an open cavity with variable fluid properties. Int J Heat Fluid Flow 32:932–942CrossRef
Sojoudi A, Saha SC, Khezerloo M, Gu YT (2014) Unsteady natural convection within a porous enclosure of sinusoidal corrugated side walls. Transp Porous Media 104:537–552CrossRef
Sultana Z, Hyder MN (2007) Non-Darcy free convection inside a wavy enclosure. Int Commun Heat Mass Transf 34(2):136–146CrossRef
Sundaravadivelu K, Kandaswamy P (2000) Double diffusive nonlinear convection in a square cavity. Fluid Dyn Res 27:291–303CrossRef
Tong W (1999) Aspect ratio effect on natural convection in water near its density maximum temperature. Int J Heat Fluid Flow 20:624–633MathSciNetCrossRef
Tong W, Koster JN (1994) Density inversion effect on transient natural convection in a rectangular enclosure. Int J Heat Mass Transf 37(6):927–938CrossRef
Vafai K (2005) Handbook of porous media 2nd edn. CRC Press, Taylor & Francis
Varol Y, Oztop HF, Mobedi M, Pop I (2010) Visualization of heat flow using Bejan’s heatline due to natural convection of water near 4 °C in thick walled porous cavity. Int J Heat Mass Transf 53:1691–1698CrossRef
Vasseur P, Robillard L (1980) Transient natural convection heat transfer in a mass of water cooled through 4 °C. Int J Heat Mass Transf 23:1195–1205CrossRef
Metadata
Title
Natural Convection of Cold Water Near Its Density Maximum in a Porous Wavy Cavity
Author
S. Sivasankaran
Copyright Year
2018
Publisher
Springer Singapore
Book
Flow and Transport in Subsurface Environment

Print ISBN: 978-981-10-8772-1

Electronic ISBN: 978-981-10-8773-8

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-981-10-8773-8_10

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