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Published in:
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2017 | OriginalPaper | Chapter

1. Introduction

Authors : John M. Dixon, Francis A. Kulacki

Published in: Mixed Convection in Fluid Superposed Porous Layers

Publisher: Springer International Publishing

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Abstract

Porous media can be found in many natural systems and engineering applications. Examples include beach sand, human lungs, bread, gravel, soil, and rock, and engineering applications include packed bed reactors, fiberglass insulation, thermal energy storage systems, electronic cooling, crude oil extraction, and nuclear reactors, and the list goes on. For many of these applications, depending on the flow regime, buoyancy effects can play a role in the heat transfer rates, and many of them comprise a porous medium bounded from above by a fluid layer. The general framework of this investigation of mixed convection in fluid-superposed porous layers described in this monograph is established. Prior research addresses natural, forced, and mixed convection in porous layers, and heat transfer correlations have been established based on a blend of experimentation and numerical analysis.

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next chapter Mathematical Formulation and Numerical Methods
Literature
1.
Bagchi A (2010) Natural convection in horizontal fluid-superposed porous layers heat locally from below. Doctoral Dissertation, University of Minnesota, Minneapolis. Also: Bagchi A, Kulacki FA (2014) Natural convection in superposed fluid-porous layers, springer briefs in thermal engineering and applied science, Springer International Publishing AG, Cham
2.
Neild D, Bejan A (2006) Convection in porous media, 3 edn. Springer, New York
3.
4.
Joseph D, Neild D, Papanicolaou G (1982) Nonlinear equation governing flow in a saturated porous medium. Water Resources Res 18(4):1049–1052CrossRef
5.
Kaviani M (2006) Principles of heat transfer in porous media. Springer, New York
6.
Brinkman H (1947) A calculation of the viscous force exerted by a flow fluid on a dense swarm of particles. Appl Sci Res A1(1):27–34MATH
7.
8.
Carr M, Staughan B (2003) Penetrative convection in a fluid overlying a porous layer. Adv Water Resources 26(3):263–276CrossRef
9.
Polyaew VM, Mozhaev AP, Galitseysky BA, Loshkin AL (1996) A study of internal heat transfer in nonuniform porous structures. Exp Therm Fluid Sci 12:426–432CrossRef
10.
Dixon AG, Cresswell DL (1979) Theoretical prediction of effective heat transfer mechanisms in regular shaped packed beds. AIChE J 25:63–676CrossRef
11.
Alazmi B, Vafai K (2000) Analysis of variants within the porous media transport models. Transns ASME J Heat Trans 122:303–326CrossRef
12.
Kuwahara F, Nakayama A, Koyama N (1996) A numerical study of thermal dispersion in porous media. Trans ASME J Heat Trans 118(3):756–761CrossRef
13.
Rubin H (1974) Heat dispersion effect on thermal convection in a porous medium layer. J Hydrol 21:173–185CrossRef
14.
Aichlmayr HT, Kulacki FA (2006) The effective thermal conductivity of saturated porous media. In: Green G et al (eds) Advances in Heat Transfer, vol 39. New York, Academic Press, pp 377–460
15.
Delgado J (2007) Longitudinal and transverse dispersion in porous media. Chem Engrg Res Design 85(A9):1245–1252CrossRef
16.
Bear JVA (1987) Modelling Groundwater flow and pollution. Springer, New YorkCrossRef
17.
Beavers G, Joseph D (1967) Boundary conditions at a naturally permeable wall. J Fluid Mech 30(1):197–207CrossRef
18.
Neale G, Nader W (1974) Practical significance of Brinkman’s extension of Darcy’s law. Coupled parallel flows within a channel and a bounding porous medium. Canad J Chem Engrg 52(4):475–478CrossRef
19.
Jones IP (1973) Low Reynolds number flow past a porous spherical shell. Math Proc Cambridge Phil Soc 73:231–238CrossRefMATH
20.
Nield D (2009) The Beavers-Joseph boundary condition and related matters: a historical and critical note. Transport Porous Med 78:537–540CrossRef
21.
Ochoa-Tapia J, Whitaker S (1995) Momentum transfer at the boundary Between a Porous Medium and a Homogeneous Fluid—1. Theoretical Development. Int J Heat Mass Trans 38(14):2635–2646CrossRefMATH
23.
Ochoa-Tapia J, Del Rio J, Whitaker S (1993) Bulk and surface diffusion in porous media: an application of the surface-averaging theorem. Chem Engrg Sci 48(11):2061–2082CrossRef
24.
Sahraoui M, Kaviani M (1994) Slip and no-slip temperature boundary conditions at the interface of porous, plain media: convection. Int J Heat Mass Trans 3(6):1029–1044CrossRefMATH
25.
Alazmi B, Vafai K (2001) Analysis of fluid flow and heat transfer interfacial conditions between a porous medium and a fluid layer. Int J Heat Mass Trans 44:1735–1749CrossRefMATH
26.
Nabovati A, Sousa A (2008) Fluid flow simulation at open-porous medium interface using the Lattice Boltzmann Method. Int J Num Methods Fluids 56:1449–1456CrossRefMATH
27.
Bai H, Yu P, Winoto S, Low H (2009) Lattice Boltzmann method for flows in porous and homogeneous fluid domains coupled at the interface by stress jump. Int J Num Meth Fluids 60:691–708CrossRefMATH
28.
Hirata S, Goyeau B (2009) Stability of natural convection in superposed fluid and porous layers: equivalence of the one- and \two-domain approaches. Int J Heat Mass Trans 52:533–536CrossRefMATH
29.
Wooding RA (1963) Convection in a saturated porous medium at large Reynolds number or Péclet number. J Fluid Mech 15:527–544CrossRefMATH
30.
Prats M (1966) The effects of horizontal fluid flow on thermally induced convection currents in porous mediums. Int J Heat Mass Trans 50:1455–1468CrossRef
31.
Sutton FM (1970) Onset of convection in a porous channel with net through flow. Phys Fluids 13:1931–1934CrossRef
32.
Homsy GM, Sherwood AE (1976) Convective instabilities in porous media with through flow. AIChE J 22:168–174CrossRef
33.
Combarnous A, Bia P (1971) Combined free and forced convection in porous media. Soc Petrol Engrs 11:399–405CrossRef
34.
Reda DC (1988) Mixed convection in a liquid-saturated porous medium. Trans ASME J Heat Trans 110:147–154CrossRef
35.
Lai FC, Kulacki FA (1991) Oscillatory mixed convection in a horizontal porous layer locally heated from below. Int J Heat Mass Trans 34(3):887–890CrossRef
36.
Lai F-C, Kulacki FA (1990) Non-Darcy mixed convection along a vertical wall in a saturated porous medium. Trans ASME J Heat Trans 113:252–255CrossRef
38.
Lai F-C, Pop I, Kulacki FA (1990) Free and mixed convection from slender bodies of revolution in porous media. Int J Heat Mass Trans 33(8):1767–1769CrossRef
39.
Lai FC, Kulacki FA (1991) Experimental study of free and mixed convection in horizontal porous layers locally heated from below. Int J Heat Mass Trans 34(2):525–541CrossRef
40.
Yokoyama Y, Kulacki FA, Mahajan R (1999) Mixed convection in a horizontal porous duct with a sudden expansion and local heating from below. Trans ASME J Heat Trans 121:653–661CrossRef
41.
Pop I, Ingham D, Miskin I (1995) Mixed Convection in a porous medium produced by a line heat source. Transport Porous Med 18:1–13CrossRef
42.
Jang J, Shiang C (1997) The mixed convection plume along a vertical adiabatic surface embedded in a non-Darcian porous medium. Int J Heat Mass Trans 40(7):1693–1699CrossRefMATH
43.
Nakayama A (1994) A unified theory for non-Darcy free, forced, and mixed convection problems associated with a horizontal line heat source in a porous medium. Trans ASME J Heat Trans 116:508–513CrossRef
44.
Zhou J, Lai FC (2002) Aiding and opposing mixed convection from a cylinder in a saturated porous medium. Porous Med 5(2):103–111MATH
45.
Kumar JP, Umavathi JC, Pop I (2009) Fully developed mixed Convection Flow in a Vertical channel containing porous and fluid layers with isothermal or isoflux boundaries. Transport Porous Med 80:117–135MathSciNetCrossRef
46.
Bhargavi D (2011) Forced convection heat transfer with viscous dissipation in parallel plate channels partially filled with porous material. PhD Thesis, Indian Institute of Technology, Kharagpur
47.
Elder JW (1967) Steady free convection in a porous medium heated from below. J Fluid Mech 27(1):29–48CrossRef
48.
Prasad V, Kulacki FA (1987) Natural convection in horizontal porous layers with localized heating from below. Trans ASME J Heat Trans 109:795–798CrossRef
49.
Prasad V, Kulacki FA (1986) Effects of the size of heat source on natural convection in horizontal porous layers heated from below. Trans ASME J Heat Transfer 5:2677–2682
Metadata
Title
Introduction
Authors
John M. Dixon
Francis A. Kulacki
Copyright Year
2017
Book
Mixed Convection in Fluid Superposed Porous Layers

Print ISBN: 978-3-319-50786-6

Electronic ISBN: 978-3-319-50787-3

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-50787-3_1

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