Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Cover of the book

2018 | OriginalPaper | Chapter

1. Introduction

Authors : Patrick H. Oosthuizen, Abdulrahim Y. Kalendar

Published in: Natural Convective Heat Transfer from Horizontal and Near Horizontal Surfaces

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

A discussion of the flow situations considered in this book is provided. A relatively brief overview of past studies concerned with the types of flow being considered is given. The numerical solution procedure adopted in obtaining the results discussed in the book is then outlined. A discussion of the use of a characteristic length is then given. It is explained that if this characteristic length is used in defining the Nusselt and Rayleigh numbers, then the same relationship between the Nusselt number and the Rayleigh number will be obtained for all the surface shapes in a given type of flow situation.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now
next chapter Natural Convective Heat Transfer from Horizontal Isothermal Circular, Square, Two-Dimensional, and Rectangular Shaped Surfaces
Literature
1.
Corcione M (2008) Natural convection heat transfer above heated horizontal surfaces. In: Proceedings of 5th WSEAS international conference on heat and mass transfer (HMT 2008) Acapulco, pp 25–27
2.
Corcione M (2007) Heat transfer correlations for free convection from upward-facing horizontal rectangular surfaces. In: Proceedings of WSEAS transactions on heat and mass transfer, vol 2, Issue 3, pp 48–60
3.
Abdulateef J, Hassan A (2015) Correlations for Nusselt number in free convection from an isothermal inclined square plate by numerical simulation. Am J Mech Appl 3(2):8–18
4.
Burmeister LC (1993) Convective heat transfer, 2nd edn. Wiley, New York, pp 636–637
5.
Ishiguro R, Nagase H, Nakanishi S, Abe T (1978) Heat transfer and flow instability of natural convection over upward-facing horizontal surfaces. In: Proceedings of the sixth international heat transfer conference, vol 2. Toronto, pp 229–234
6.
7.
Sucec J (1985) Heat Transfer. Wm. C. Brown Publisher, Dubuque, pp 636–637
8.
Lewandowski WM, Kubski P (1983) Methodical investigation of free convection from vertical and horizontal plates. Wärme-und Stoffübertrag 17(3):147–154CrossRef
9.
Khalifa AJN (2001) Natural convective heat transfer coefficient–a review I. Isolated vertical and horizontal surfaces. Energy Convers Manag 42:491–504CrossRef
10.
Radziemska E, Lewandowski WM (2005) The effect of plate size on the natural convective heat transfer intensity of horizontal surfaces. Heat Transf Eng 26(2):50–53CrossRef
11.
Fishenden M, Saunders OA (1950) An Introduction to Heat Transfer. Oxford University Press, London
12.
Bosworth RLC (1952) Heat Transfer Phenomena. Wiley, New YorkMATH
13.
Hassan K-E, Mohamed SA (1970) Natural convection from isothermal flat surfaces. Int J Heat Mass Transf 13(12):1873–1886CrossRef
14.
Husar RB, Sparrow EM (1968) Patterns of free convection flow adjacent to horizontal heated surfaces. Int J Heat Mass Transfer 11:1206–1208CrossRef
15.
Lewandowski WM, Kubski P, Khubeiz JM (1992) Natural convection heat transfer from round horizontal plate. Wärme-und Stoffübertrag 27(5):281–287CrossRef
16.
Rotem Z, Claassen L (1969) Natural convection above unconfined horizontal surfaces. J Fluid Mech 38(1):173–192CrossRef
17.
Pera L, Gebhart B (1972) Natural convection flows adjacent to horizontal surfaces resulting from the combined buoyancy effects of thermal and mass diffusion. Int J Heat Mass Transf 15(2):269–278CrossRef
18.
19.
20.
Tetsu F, Hiroshi H, Itsuki M (1973) A theoretical study of natural convection heat transfer from downward-facing horizontal surfaces with uniform heat flux. Int J Heat Mass Transfer 16:611–627CrossRef
21.
Lewandowski WM, Radziemska E, Buzuk M, Bieszk H (2000) Free convection heat transfer and fluid flow above horizontal rectangular plates. Appl Energy 66(2):177–197CrossRef
22.
Pretot S, Zeghmati B, Le Palec G (2000) Theoretical and experimental study of natural convection on a horizontal plate. Appl Therm Eng 20(10):873–891CrossRef
23.
Martorell I, Herrero J, Grau FX (2003) Natural convection from narrow horizontal plates at moderate Rayleigh numbers. Int J Heat Mass Transf 46(13):2389–2402CrossRef
24.
Kozanoglu B, Lopez J (2007) Thermal boundary layer and the characteristic length on natural convection over a horizontal plate. J Heat Mass Transf 43(4):333–339CrossRef
25.
Lloyd JR, Moran WR (1974) Natural convection adjacent to horizontal surface of various planforms. J Heat Transf 96(4):443–447CrossRef
26.
Al-Arabi M, El-Riedy MK (1976) Natural convection heat transfer from isothermal horizontal plates of different shapes. Int J Heat Mass Transf 19(12):1399–1404CrossRef
27.
Kitamura K, Kimura F (1995) Heat transfer and fluid flow of natural convection adjacent to upward-facing horizontal plates. Int J Heat Mass Transf 38(17):3149–3159CrossRef
28.
Kitamura K, Kimura F (2008) Fluid flow and heat transfer of natural convection over upward-facing, horizontal heated circular disks. Heat Transf-Asian Res 37(6):339–351CrossRef
29.
Wragg AA, Loomba RP (1970) Free convection flow patterns at horizontal surfaces with ionic mass transfer. Int J Heat Mass Transf 13:439–442CrossRef
30.
31.
32.
33.
Ackroyd JAD (1976) Laminar natural convection boundary layers on near-horizontal plates. Proc R Soc London 352(1669):249–274CrossRef
34.
Bandrowski J, Rybski W (1976) Free convection mass transfer from horizontal plates. Int J Heat Mass Transf 19:827–838CrossRef
35.
36.
37.
Goldstein RJ, Lau KS (1983) Laminar natural convection from a horizontal plate and the influence of plate-edge extensions. J Fluid Mech 129:55–75CrossRef
38.
Wei JJ, Yu B, Kawaguchi Y (2003) Simultaneous natural-convection heat transfer above and below an isothermal horizontal thin plate. Numer Heat Transf Part A (Appl) 44(1):39–58CrossRef
39.
Oosthuizen PH (2014) Natural convective heat transfer from an inclined isothermal square flat element mounted in a flat adiabatic surrounding surface. In: Proceedings of the 15th international heat transfer conference, Paper IHTC15-8499
40.
Oosthuizen PH (2015) Laminar, transitional and turbulent natural convective heat transfer from a horizontal rectangular isothermal element imbedded in a flat adiabatic surrounding surface. In: Proceedings of the ICHMT international symposium on advances in computational heat transfer (CHT-15) Rutgers University, Piscataway, USA. May 25–29. Paper CHT-15-145
41.
Oosthuizen PH, Kalendar A (2015) A numerical study of natural convective heat transfer from a pair of adjacent horizontal isothermal square elements embedded in an adiabatic surface–effect of element spacing on heat transfer rate. In: Proceeding of 11th international conference on heat transfer, fluid mechanics and thermodynamics (HEFAT 2015) Paper 1570075659
42.
Oosthuizen PH, Kalendar A (2015) Laminar and turbulent natural convective heat transfer from a horizontal isothermal circular element with an unheated inner circular section. In: Proceedings of the CFD society of Canada 23rd annual conference, June 7–10, Waterloo
43.
Oosthuizen, PH (2016) A numerical study of the effect of a plane horizontal covering surface on natural convective heat transfer from a circular horizontal isothermal element that has an inner adiabatic circular section. In: Proceedings of the 24th annual conference of the CFD society of Canada, Kelowna, BC, June 26–29
44.
Oosthuizen PH (2015) A numerical study of natural convective heat transfer from horizontal isothermal heated elements of complex shape. In: Proceedings of the 1st thermal & fluids engg summer conference (ASTFE), Paper TFESC-12863, August 9–12, New York City
45.
Oosthuizen PH (2016) Numerical study of natural convective heat transfer from horizontal heated elements of relatively complex shape that have a uniform surface heat flux. In: Proceedings of the 12th international conference on heat transfer, fluid mechanics and thermodynamics (HEFAT 2016), Malaga, Spain, July 11–13
46.
Hossain MA, Takhar HS (1999) Thermal radiation effects on the natural convection flow over an isothermal horizontal plate. J Heat Mass Transf 35(4):321–326CrossRef
47.
48.
49.
Kitamura K, Asakawa T (2000) Fluid flow and heat transfer of natural convection over upward-facing, horizontal, heated plate shrouded by a parallel insulated plate. Heat Transf-Asian Res 29(4):333–346CrossRef
50.
Oosthuizen PH (2014) Natural convective heat transfer from a horizontal rectangular isothermal element imbedded in a plane adiabatic surface with a parallel adiabatic covering surface. In: Proceedings of the ASME 2014 international mechanical engineering congress and exposition, Paper IMECE2014-36780
51.
Oosthuizen PH (2014) Natural convective heat transfer from a horizontal isothermal circular element imbedded in a flat adiabatic surface with a parallel adiabatic covering surface. In: Proceedings of the AIAA/ASME joint thermophysics and heat transfer conference. Paper AIAA-2014-3357
52.
Oosthuizen PH (2014) A numerical study of natural convective heat transfer from a horizontal isothermal square element imbedded in an adiabatic surface with a parallel adiabatic covering surface. In: Proceedings of the 10th international conference on heat transfer, fluid mechanics and thermodynamics (HEFAT 2014) Paper 1569876763
53.
Oosthuizen PH, Paul JT (2013) Numerical study of the effect of vent positioning on the natural convective heat transfer rate from a horizontal isothermal heated surface mounted in a flat adiabatic base and surrounded by a protective surface. In: Proceedings of the 13th UK heat transfer conference (UKHTC2013) London, Sept. 2–3. ISBN 978-0-9572298-5-3. Paper UKHTC2013/66
54.
Oosthuizen PH (2015) Numerical study of the effect of vent size on natural convective heat transfer from a square horizontal isothermal heated surface surrounded by a protective cover. In: Proceedings of the 1st thermal & fluids engineering summer conference (ASTFE) Paper TFESC-12865, Aug 9–12, New York
55.
Oosthuizen PH (2014) A numerical study of the effect of a chimney induced flow on natural convective heat transfer from a heated horizontal isothermal circular element. In: Proceedings of the 22nd annual conference of the CFD society of Canada, Toronto, June 1–4
56.
Rahmatmand A, Oosthuizen PH (2016) Numerical study of chimney-enhanced natural convective heat transfer from a horizontal plate. In: Proceedings of the 24th annual conference of the CFD society of Canada, Kelowna, BC, June 26–29
57.
58.
Rich BR (1953) An investigation of heat transfer from an inclined flat plate in free convection. Trans ASME 75:489–499
59.
Vliet GC (1970) Natural convection local heat transfer on constant heat flux inclined surfaces. J Heat Transf 91:511–516CrossRef
60.
61.
62.
Al-Arabi M, Sakr B (1988) Natural convection heat transfer from inclined isothermal plates. Int J Heat Mass Transf 31(3):559–566CrossRef
63.
Radziemska E, Lewandowski WM (2007) Experimental investigation of natural convection from circular plates at variable inclination. J Thermophys Heat Transf 21(4):813–816CrossRef
64.
65.
66.
Kobus CJ (2007) Investigation of natural convection heat transfer from uniformly heated (isoflux), thin, stationary circular disks at arbitrary angles of inclination. Exp Thermal Fluid Sci 31(3):191–195CrossRef
67.
Wei JJ, Yu B, Wang HS, Tao WQ (2002) Numerical study of simultaneous natural convection heat transfer from both surfaces of a uniformly heated thin plate with arbitrary inclination. J Heat Mass Transf 38(4–5):309–317CrossRef
68.
Corcione M, Habib E, Campo A (2011) Natural convection from inclined plates to gases and liquids when both sides are uniformly heated at the same temperature. Int J Therm Sci 50:1405–1416CrossRef
69.
Sparrow EM, Husar HB (1969) Longitudinal vortices in natural convection flow on inclined plates. J Fluid Mech 37:251–255CrossRef
70.
Lloyd JR, Sparrow EM (1970) On the instability of natural convection flow on inclined plates. J Fluid Mech 42:465–470CrossRef
71.
72.
Black WZ, Norris JK (1975) The thermal structure of free convection turbulence from inclined isothermal surfaces and its influence on heat transfer. Int J Heat Mass Transf 18:43–50CrossRef
73.
Tien H-C, Chen TS, Armaly BF (1986) Vortex instability of natural convection flow over horizontal and inclined plates with uniform surface heat flux. Numer Heat Transf 9(6):697–713CrossRef
74.
Cheng KC, Kim YW (1988) Flow visualization studies on vortex instability of natural convection flow over horizontal and slightly inclined constant-temperature plates. J Heat Transf 110:608–615CrossRef
75.
Chen CC, Labahabi A, Chang H-C, Kelly RE (1991) Spanwise pairing of finite-amplitude longitudinal vortex rolls in inclined free-convection boundary layer. J Fluid Mech 23:73–111MathSciNetCrossRef
76.
Jeschke P, Beer H (2001) Longitudinal vortices in a laminar natural convection boundary layer flow on an inclined flat plate and their influence on heat transfer. J Fluid Mech 432:313–339MATH
77.
78.
Oosthuizen PH (2016) A numerical study of natural convective heat transfer from upward facing recessed and protruding heated horizontal isothermal circular surfaces. In: Proceedings of the 12th international conference on heat transfer, fluid mechanics and thermodynamics (HEFAT 2016)
79.
Oosthuizen PH (2017) Natural convective heat transfer from a heated upward facing recessed isothermal horizontal two-dimensional element with and without heated side walls. In: Proceedings of the 25th annual conference of the CFD society of Canada
80.
Oosthuizen PH, Kalendar AY (2017) Natural convective heat transfer from upward facing recessed and protruding heated horizontal isothermal circular elements with isothermal vertical side surfaces. In: Proceedings of the 13th international conference on heat transfer, fluid mechanics and thermodynamics (HEFAT 2017)
81.
Goldstein RJ, Sparrow EM, Jones DC (1973) Natural convection mass transfer adjacent to horizontal plates. Int J Heat Mass Transf 16(5):1025–1035CrossRef
82.
Chambers BB, Lee TT (1997) A numerical study of local and average natural convection Nusselt numbers for simultaneous convection above and below a uniformly heated horizontal thin plate. J Heat Transf 119(1):102–108CrossRef
83.
Dooher BP, Mills AF (2000) Natural-convection thermosyphon heat transfer from a stack of horizontal plates. Exp Heat Transf 13(2):125–136CrossRef
84.
85.
Kobus CJ, Wedekind GL (2001) An experimental investigation into natural convection heat transfer from horizontal isothermal circular disks. Int J Heat Mass Transf 44(17):3381–3384CrossRef
86.
Fontana L (2014) Free convection heat transfer from an isothermal horizontal thin strip: the influence of the Prandtl number. J Therm Sci 23(6):586–592CrossRef
87.
Oosthuizen PH, Kalendar AY (2016) A numerical study of the simultaneous natural convective heat transfer from the upper and lower surfaces of a thin isothermal horizontal circular plate. In: Proceedings of the 2016 ASME international mechanical engineering congress and exposition (IMECE2016)
88.
Oosthuizen PH (2017) Natural convective heat transfer from two thin vertically spaced axially aligned horizontal isothermal circular plates. In: Proceedings of the 2nd thermal and fluids engineering conference (TFEC2017) Paper TFEC-IWHT2017-17451, 2017
89.
Fu W-S, Wang W-H, Huang S-H (2012) An investigation of natural convection of three dimensional horizontal parallel plates from a steady to an unsteady situation by a CUDA computation platform. Int J Heat Mass Transf 55:4638–465050CrossRef
90.
Fu W-S, Wang W-H, Li C-G (2014) An investigation of natural convection in parallel square plates with a heated top surface by a hybrid boundary condition. Int J Therm Sci 84:48–61CrossRef
91.
Faw RE, Dullforce TA (1981) Holographic interferometry measurement of convective heat transport beneath a heated horizontal plate in air. Int J Heat Mass Transf 24(5):859–869CrossRef
92.
Faw RE, Dullforce TA (1982) Holographic interferometry measurement of convective heat transport beneath a heated horizontal circular plate in air. Int J Heat Mass Transf 25(8):1157–1166CrossRef
93.
Aihara T, Yamada Y, Endö S (1972) Free convection along the downward-facing surface of a heated horizontal plate. Int J Heat Mass Transf 15(12):2535–2538CrossRef
94.
Sing SN, Birkebak RC, Drake RM (1969) Laminar free convection heat transfer from downward-facing horizontal surfaces of finite dimension. Prog Heat Mass Transf 2:87–98
95.
96.
Clifton JV, Chapman AJ (1969) Natural convection on a finite-size horizontal plate. Int J Heat Mass Transf 12(12):1573–1584CrossRef
97.
Schulenberg T (1984) Natural convection heat transfer to liquid metals below downward facing horizontal surfaces. Int J Heat Mass Transf 27(3):433–441CrossRef
98.
Schulenberg T (1985) Natural convection heat transfer below downward facing horizontal surfaces. Int J Heat Mass Transf 28(2):467–477CrossRef
99.
Friedrich MK, Angirasa D (2001) The interaction between stable thermal stratification and convection under a heated horizontal surface facing downwards. Int J Non-Linear Mech 36(5):719–729CrossRef
100.
Radziemska E, Lewandowski WM (2001) Heat transfer by natural convection from an isothermal downward-facing round plate in unlimited space. Appl Energy 68(4):347–366CrossRef
101.
Oosthuizen PH (2015) A numerical study of natural convective heat transfer from a horizontal isothermal square element with an unheated adiabatic inner section. In: Proceedings of the 11th international conference on heat transfer, fluid mechanics and thermodynamics (HEFAT 2015) Paper 570075655
102.
Hatfield DW, Edwards DK (1981) Edge and aspect ratio effects on natural convection from the horizontal heated plate facing downwards. Int J Heat Mass Transf 24(6):1019–1024CrossRef
103.
Kozanoglu B, Rubio F (2014) The characteristic length on natural convection from a horizontal heated plate facing downwards. Therm Sci 18(2):555–562CrossRef
104.
Restrepo F, Glicksman LR (1974) The effect of edge conditions on natural convection from a horizontal plate. Int J Heat Mass Transf 17(1):135–142CrossRef
105.
Savill AM (1993) Evaluating turbulence model predictions of transition. An ERCOFTAC special interest group project. Appl Sci Res 51:555–562CrossRef
106.
Schmidt RC, Patankar SV (1991) Simulating boundary layer transition with low-Reynolds-number k-ε turbulence models: Part 1-An evaluation of prediction characteristics. J Turbomach 113:10–17CrossRef
107.
Plumb OA, Kennedy LA (1977) Application of a k-e turbulence model to natural convection from a vertical isothermal surface. J Heat Transf 99:79–85CrossRef
108.
Zheng X, Liu C, Liu F, Yang C-I (1968) Turbulent transition simulation using the k-ω model. Int J Numer Meth Eng 42(5):907-926. https://​doi.​org/​10.​1002/​(sici)1097-0207(19980715)42:5<907::aid-nme393>3.0.co;2-tCrossRef
109.
Albets-Chico X, Oliva A, Perez-Segarra CD (2008) Numerical experiments in turbulent natural convection using two-equation eddy-viscosity models. J Heat Transf 130(7):072501-1–072401-11CrossRef
110.
Oosthuizen PH, Naylor D (2009) A numerical study of laminar-to-turbulent transition in the flow over a simple recessed window-plane blind system. In: Proceedings of the 4th Canadian solar buildings conference, The Solar Buildings Research Network
111.
Xamán J, Álvarez G, Lira L, Estrada C (2005) Numerical study of heat transfer by laminar and turbulent natural convection in tall cavities of façade elements. Energy Build 37:787–794CrossRef
112.
Kalendar A, Kalendar AY, Alhendal Y (2016) Evaluation of turbulence models for natural and forced convection from flat plates. Comput Therm Sci Int J 8(6):567–582CrossRef
Metadata
Title
Introduction
Authors
Patrick H. Oosthuizen
Abdulrahim Y. Kalendar
Copyright Year
2018
Book
Natural Convective Heat Transfer from Horizontal and Near Horizontal Surfaces

Print ISBN: 978-3-319-78749-7

Electronic ISBN: 978-3-319-78750-3

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-78750-3_1

Premium Partners

    Image Credits