Skip to main content
SpringerLink
Log in

Discrete ordinate and P1-based approximations of heater transparency on radiation-convection of four separate gases in factory setting

  • Research Article
  • Indoor/Outdoor Airflow and Air Quality
  • Published:
Building Simulation Aims and scope Submit manuscript

Abstract

Industrial ventilation and heat dissipation time are important factors due to high temperature and emissivity coefficients of heat source conducive to radiation and convection produced indoors. The main aim of this study was to investigate the separate effects of four different gases (air; nitrogen, N2; carbon dioxide, CO2; and water vapor) on radiation/convection in an industrial complex with a heat source. The heat source surface is opaque or semi-transparent and two radiation models, P1 and discrete ordinate (DO), are compared in different Grashof numbers (Gr), ranging from 108 to 1011. Surface transparency has the most and the least effects on CO2 and water vapor, respectively. Water vapor has efficient natural ventilation at all heater lengths. High absorption coefficient (ap) at high Gr prevents dampening effects of radiative relative to convective parameters. The radiation model type for precise numerical simulation is indispensable with ap reduction. The opaque surface is most efficient to transfer energy only in the temperature distribution specific area, while the semi-transparent surface concentrates on temperature rise around the heater itself. The Nusselt of radiation (Nur) in P1 is more than ^DO model for all gases. Incident radiation for CO2 and water vapor follows a complete descending trend with progressive distance from heater, while a peakand trough trend is observed for N2 and air.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Abbreviations

A :

anisotropy coefficient

a :

effective area

a p :

absorption coefficient

g :

gravity acceleration (m/s2)

G k :

turbulent kinetic energy due to mean velocity gradient

G b :

turbulent kinetic energy due to buoyancy force

G r :

Grashof number (Gr = gβ(T8-T∞)L3/gv2)

H 1 :

distance from floor to pressure inlet

H 2 :

distance from floor to the first edge of building

H 3 :

distance from floor to pressure outlet

H 4 :

industrial building height

H 5 :

inlets and outlets diameter

L 1 :

heat source length

L 2 :

industrial building floor length

n :

refractive index

k :

thermal conductivity (W/(m·K))

Nu c :

convective Nusselt number (Nuc = qcL1/kΔT)

Nu r :

radiative Nusselt number (Nur = qrL1/kΔT)

Nu t :

total Nusselt number (Nut = Nur + Nuc)

Prt :

turbulent Prandtl number

q :

heat flux (W/m2)

q c :

convective heat flux (W/m2)

q r :

radiative heat flux (W/m2)

Ra :

Rayleigh number

S :

mean rate strain tensor

S k :

source term due to k

S ε :

source term due to ε

T :

temperature (K)

ΔT :

temperature difference (K)

Y M :

fluctuating dilatation in compressible flow to overall dissipation rate

α :

thermal diffusivity (m2/s)

β :

thermal expansion coefficient (Kr-1)

ε :

surface emissivity

ϑ :

polar angle

λ 1 :

wavelength band boundary

v :

kinematic viscosity (m2/s)

ϕ :

azimuthal angle

ρ :

reflectivity

σb :

Stefan Boltzmann constant

σs :

scattering coefficient

τ :

transmission coefficient

c:

convection

h:

heat source

r:

radiation

t:

total

∞:

ambient

References

  • Akiyama M, Chong QP (1997). Numerical analysis of natural convection with surface radiation in a square enclosure. Numerical Heat Transfer, Part A: Applications, 32: 419–433.

    Article  Google Scholar 

  • Barlow RS, Karpetis AN, Frank JH, Chen JY (2001). Scalar profiles and NO formation in laminar opposed-flow partially premixed methane/air flames. Combustion and Flame, 127: 2102–2118.

    Article  Google Scholar 

  • Bidi M, Hosseini R, Nobari MRH (2008). Numerical analysis of methane-air combustion considering radiation effect. Energy Conversion and Management, 49: 3634–3647.

    Article  Google Scholar 

  • Chen Q (1995). Comparison of different k-e models for indoor air flow computations. Numerical Heat Transfer, Part B: Fundamentals, 28: 353–369.

    Article  Google Scholar 

  • Chow K, Holdø AE (2010). On the influence of boundary conditions and thermal radiation on predictive accuracy in numerical simulations of indoor ventilation. Building and Environment, 45: 437–444.

    Article  Google Scholar 

  • Coelho PJ, Teerling OJ, Roekaerts D (2003). Spectral radiative effects and turbulence/radiation interaction in a non-luminous turbulent jet diffusion flame. Combustion and Flame, 133: 75–91.

    Article  Google Scholar 

  • Colomer G, Costa M, Cònsul R, Oliva A (2004). Three-dimensional numerical simulation of convection and radiation in a differentially heated cavity using the discrete ordinates method. International Journal of Heat and Mass Transfer, 47: 257–269.

    Article  Google Scholar 

  • Goebel F, Mundt C (2011). Implementation of the P1 radiation model in the CFD solver NSMB and investigation of radiative heat transfer in the SSME main combustion chamber. Paper presented at the 17th AIAA International Space Planes and Hypersonic Systems and Technologies Conference, San Francisco, USA.

    Book  Google Scholar 

  • Howell SA, Potts I (2002). On the natural displacement flow through a full-scale enclosure, and the importance of the radiative participation of the water vapour content of the ambient air. Building and Environment, 37: 817–823.

    Article  Google Scholar 

  • Khodabandeh E, Pourramezan M, Pakravan MH (2016). Effects of excess air and preheating on the flow pattern and efficiency of the radiative section of a fired heater. Applied Thermal Engineering, 105: 537–548.

    Article  Google Scholar 

  • Ko M, Anand NK (2008). Three-dimensional combined convective-radiative heat transfer over a horizontal backward-facing step—A finite-volume method. Numerical Heat Transfer, Part A: Applications, 54: 109–129.

    Article  Google Scholar 

  • Lari K, Baneshi M, Gandjalikhan Nassab SA, Komiya A, Maruyama S (2011). Combined heat transfer of radiation and natural convection in a square cavity containing participating gases. International Journal of Heat and Mass Transfer, 54: 5087–5099.

    Article  Google Scholar 

  • Lu X, Wang T (2013). Investigation of radiation models in entrained-flow coal gasification simulation. International Journal of Heat and Mass Transfer, 67: 377–392.

    Article  Google Scholar 

  • Ma L, Gharebaghi M, Porter R, Pourkashanian M, Jones JM, Williams A (2009). Modelling methods for co-fired pulverised fuel furnaces. Fuel, 88: 2448–2454.

    Article  Google Scholar 

  • Martyushev SG, Sheremet MA (2012). Characteristics of Rosseland and P-1 approximations in modeling nonstationary conditions of convection-radiation heat transfer in an enclosure with a local energy source. Journal of Engineering Thermophysics, 21: 111–118.

    Article  Google Scholar 

  • Melot M, Trépanier JY, Camarero R, Petro E (2011). Comparison of two models for radiative heat transfer in high temperature thermal plasmas. Modelling and Simulation in Engineering, 2011: 1–7.

    Article  Google Scholar 

  • Miroshnichenko IV, Sheremet MA, Mohamad AA (2016). Numerical simulation of a conjugate turbulent natural convection combined with surface thermal radiation in an enclosure with a heat source. International Journal of Thermal Sciences, 109: 172–181.

    Article  Google Scholar 

  • Miroshnichenko IV, Sheremet MA (2018a). Turbulent natural convection heat transfer in rectangular enclosures using experimental and numerical approaches: A review. Renewable and Sustainable Energy Reviews, 82: 40–59.

    Article  Google Scholar 

  • Miroshnichenko IV, Sheremet MA (2018b). Turbulent natural convection combined with thermal surface radiation inside an inclined cavity having local heater. International Journal of Thermal Sciences, 124: 122–130.

    Article  Google Scholar 

  • Miroshnichenko IV, Sheremet MA (2018c). Radiation effect on conjugate turbulent natural convection in a cavity with a discrete heater. Applied Mathematics and Computation, 321: 358–371.

    Article  MathSciNet  Google Scholar 

  • Nia MF, Nassab SAG, Ansari AB (2018). Transient combined natural convection and radiation in a double space cavity with conducting walls. International Journal of Thermal Sciences, 128: 94–104.

    Article  Google Scholar 

  • Nouanegue H, Muftuoglu A, Bilgen E (2008). Conjugate heat transfer by natural convection, conduction and radiation in open cavities. International Journal of Heat and Mass Transfer, 51: 6054–6062.

    Article  Google Scholar 

  • Nouanegue HF, Muftuoglu A, Bilgen E (2009). Heat transfer by natural convection, conduction and radiation in an inclined square enclosure bounded with a solid wall. International Journal of Thermal Sciences, 48: 871–880.

    Article  Google Scholar 

  • Park HJ, Holland D (2001). The effect of location of a convective heat source on displacement ventilation: CFD study. Building and Environment, 36: 883–889.

    Article  Google Scholar 

  • Parmananda M, Khan S, Dalai A, Natarajan G (2017). Critical assessment of numerical algorithms for convective-radiative heat transfer in enclosures with different geometries. International Journal of Heat and Mass Transfer, 108: 627–644.

    Article  Google Scholar 

  • Rabbi KM, Ahmad T, Mojumder S, Saha S, Hossain MZ (2015). Geometric effect on magnetohydrodynamic convection in a half-moon shaped cavity filled with water having semi-circular bottom heater. Procedia Engineering, 105: 73–80.

    Article  Google Scholar 

  • Raithby GD, Chui EH (1990). A finite-volume method for predicting a radiant heat transfer in enclosures with participating media. Journal of Heat Transfer, 112: 415–423.

    Article  Google Scholar 

  • Saravanan S, Sivaraj C (2015). Combined natural convection and thermal radiation in a square cavity with a nonuniformly heated plate. Computers & Fluids, 117: 125–138.

    Article  MathSciNet  Google Scholar 

  • Shaija A, Narasimham GSVL (2009). Effect of surface radiation on conjugate natural convection in a horizontal annulus driven by inner heat generating solid cylinder. International Journal of Heat and Mass Transfer, 52: 5759–5769.

    Article  Google Scholar 

  • Sharma AK, Velusamy K, Balaji C, Venkateshan SP (2007). Conjugate turbulent natural convection with surface radiation in air filled rectangular enclosures. International Journal of Heat and Mass Transfer, 50: 625–639.

    Article  Google Scholar 

  • Siegel R, Howell JR, Mengüç, MP (2010). Thermal Radiation Heat Transfer. Boca Raton, EL, USA: CRC Press.

    Google Scholar 

  • Walker C, Tan G, Glicksman L (2011). Reduced-scale building model and numerical investigations to buoyancy-driven natural ventilation. Energy and Buildings, 43: 2404–2413.

    Article  Google Scholar 

  • Wang L, Turns SR (2004). Nongray soot and gas-phase radiation modeling in luminous turbulent nonpremixed jet flames. In: Proceeding of the 4th International Symposium on Radiative Transfer, Istambul, Turkey.

    Book  Google Scholar 

  • Wang Y, Meng X, Yang X, Liu J (2014). Influence of convection and radiation on the thermal environment in an industrial building with buoyancy-driven natural ventilation. Energy and Buildings, 75: 394–401.

    Article  Google Scholar 

Download references

Acknowledgements

We are indebted to our colleagues at the School of Aerospace Engineering of Amirkabir University of Technology for their assistance with this research.

Author information

Authors and Affiliations

  1. Aerospace Engineering Departmant, Amirkabir University of Technology, Tehran, Iran

    Mohammad Sadegh Moemenbellah-Fard & Sahar Noori

Authors
  1. Mohammad Sadegh Moemenbellah-Fard
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Sahar Noori
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Mohammad Sadegh Moemenbellah-Fard.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Moemenbellah-Fard, M.S., Noori, S. Discrete ordinate and P1-based approximations of heater transparency on radiation-convection of four separate gases in factory setting. Build. Simul. 13, 647–663 (2020). https://doi.org/10.1007/s12273-020-0604-7

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12273-020-0604-7

Keywords

Search

Navigation