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Materials, Design, and Manufacturing for Sustainable Environment pp 835–850Cite as

CFD Analysis of Combined Thermal Radiation and Conjugate Heat Transfer in a 3D FFS

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Part of the Lecture Notes in Mechanical Engineering book series (LNME)

Abstract

Mathematical investigation of conjugate heat transfer in a 3-d rectangular duct having a vertical forward-facing step with a participating medium is carried out using OpenFOAM. The stepped interface splits the rectangular domain into two regions (viz., solid and fluid). The fluid considered is carbon-dioxide, which is a participating medium. The ability of the code has been verified by validating conjugate heat transfer and radiative heat transfer. The fluid flows at a Reynolds number 250 through a rectangular domain with a contraction ratio of 0.5. The case study mainly focused on the effect of optical thickness and linear scattering albedo on thermal characteristics of the flow. The changes in average Nusselt number with optical thickness and linear scattering albedo are analyzed. Also, the sense of including radiation effects into a thermal analysis are discussed.

Keywords

  • Radiation heat transfer
  • Participating media
  • Conjugate heat transfer
  • Forward-facing step
  • fvDOM
  • OpenFOAM

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Abbreviations

BFS:

Backward-Facing Step

DOM:

Discrete Ordinate Method

FFS:

Forward-Facing Step

FVM:

Finite Volume Method

RTE:

Radiative Transfer Equation

CR:

Contraction ratio (h/H)

H :

Height of the inlet section (m)

h :

Height of the outlet section (m)

I :

Radiation intensity (Wsr−1)

L :

Characteristics length (m)

n :

Refractive index

Nu:

Nusselt number

Pr:

Prandtl number

q :

Heat Flux (Wm−2)

Re:

Reynolds number

S :

Step Height (m)

T :

Temperature (K)

θ :

Dimensionless temperature

b:

Bulk temperature

c:

Convection

f:

Fluid

h:

Hot wall

i, j :

1, 2, 3 corresponds to x, y, z directions respectively

in:

Inlet

r:

Radiation

s:

Solid

w:

Interface wall

α :

Thermal diffusivity (α = κ/ρcp m2s−1)

β :

Extinction coefficient (m−1)

κ :

Thermal conductivity (Wm−1K−1)

µ :

Dynamic viscosity (Pas)

ω :

Linear scattering albedo

Φ:

Scattering phase function

ρ :

Density (kg m−3)

σ :

Stefan–Boltzmann-Constant 5.67 × 10−8 Wm−2K−4

σ a :

Absorption coefficient (m−1)

σ s :

Scattering coefficient (m−1)

τ :

Optical thickness

References

  1. Modest MF (2013) Radiative heat transfer. Academic press

    Google Scholar 

  2. Mishchenko MI (2013) 125 years of radiative transfer: enduring triumphs and persisting misconceptions. In: American institute of physics conference proceedings, vol. 1531, no. 1, pp. 11–18)

    Google Scholar 

  3. Kim SH, Huh KY (2000) A new angular discretization scheme of the finite volume method for 3-d radiative heat transfer in absorbing, emitting and anisotropically scattering media. Int J Heat Mass Transf 43(7):1233–1242

    CrossRef  Google Scholar 

  4. Wang CA, Shen TR, Gao JP, Tan JY (2019) Development of RTE solver for radiative transfer in absorbing-emitting medium using finite volume based CFD library OpenFOAM. Int J Therm Sci 140:36–42

    CrossRef  Google Scholar 

  5. Harijishnu R, Jayakumar JS (2017) Thermal radiation heat transfer in participating media by finite volume discretization using collimated beam incidence. IOP Conf Ser Mater Sci Eng 243(1):012009

    Google Scholar 

  6. Samson A, Torzewicz T, Raszkowski T, Janicki M, Zubert M, Napieralski A (2016) Modelling of average radiation and convection heat transfer coefficient value in electronic systems. In: MIXDES-23rd international conference mixed design of integrated circuits and systems, IEEE, pp 271–275

    Google Scholar 

  7. Talukdar P, Simonson CJ (2007) Effect of axial radiation on heat transfer in a thermally and hydrodynamically developing flow between parallel plates. Numer Heat Transfer Part A: Appl 52(10):911–934

    CrossRef  Google Scholar 

  8. Young Kim M, Baek SW (1996) Numerical analysis of conduction. Convection, and radiation in a gradually expanding channel. Numer Heat Transfer Part A: Appl 29(7):725–740

    Google Scholar 

  9. Kuznetsov GV, Kurilenko NI, Nee AE (2018) Mathematical modelling of conjugate heat transfer and fluid flow inside a domain with a radiant heating system. Int J Therm Sci 131:27–39

    CrossRef  Google Scholar 

  10. Horikiri K, Yao Y, Yao J (2014) Modelling conjugate flow and heat transfer in a ventilated room for indoor thermal comfort assessment. Build Environ 77:135–147

    CrossRef  Google Scholar 

  11. Favre F, Colomer G, Lehmkuhl O, Oliva A (2016) Numerical simulations of conjugate convection combined with surface thermal radiation using an immersed boundary method. J Phys Conf Ser 745(3):032017

    CrossRef  Google Scholar 

  12. Bahrami A, Nassab SG (2010) Study of entropy generation in laminar forced convection flow over a forward-facing step in a duct. Int Rev Mech Eng 4(4):399–404

    Google Scholar 

  13. Abu-Mulaweh HI (2003) A review of research on laminar mixed convection flow over backward-and forward-facing steps. Int J Therm Sci 42(9):897–909

    CrossRef  Google Scholar 

  14. Cintolesi C (2016) Large-eddy simulations of conjugate heat transfer with evaporation-condensation and thermal radiation, Ph.D. Thesis, School of environmental and industrial fluid mechanics, University of Trieste

    Google Scholar 

  15. Jayakumar JS, Sharma A, Rakshit D, Eswaran V (2007) Conjugate heat transfer study of laminar flow over a forward facing step. In: Proceedings of Asian computational fluid dynamics (CFD), pp 232–248

    Google Scholar 

  16. Rayeni AD, Nassab SG (2016) Analysis of combined radiation and forced convection heat transfer in 3D laminar flow over an inclined forward facing step. J Electron Cooling Ther Control 6(1):1–18

    CrossRef  Google Scholar 

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Authors and Affiliations

  1. Department of Mechanical Engineering, Amrita Vishwa Vidyapeetham, Amritapuri, Clappana, Kerala, India

    G. S. Krishnendu & J. S. Jayakumar

Authors
  1. G. S. Krishnendu
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  2. J. S. Jayakumar
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Corresponding author

Correspondence to J. S. Jayakumar .

Editor information

Editors and Affiliations

  1. Department of Mechanical Engineering, Indian Institute of Technology Palakkad, Kozhippara, Kerala, India

    Dr. Santhakumar Mohan

  2. Department of Mechatronics Engineering, Kongu Engineering College, Erode, Tamil Nadu, India

    Prof. S. Shankar

  3. Department of Mechanical Engineering, PSG Institute of Technology and Applied Research, Coimbatore, Tamil Nadu, India

    Dr. G. Rajeshkumar

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Krishnendu, G.S., Jayakumar, J.S. (2021). CFD Analysis of Combined Thermal Radiation and Conjugate Heat Transfer in a 3D FFS. In: Mohan, S., Shankar, S., Rajeshkumar, G. (eds) Materials, Design, and Manufacturing for Sustainable Environment. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-9809-8_60

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  • DOI: https://doi.org/10.1007/978-981-15-9809-8_60

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-9808-1

  • Online ISBN: 978-981-15-9809-8

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