Journal of Applied and Computational Mechanics
Effect of Thermal Conductivity and Emissivity of Solid Walls on Time-Dependent Turbulent Conjugate Convective-Radiative Heat Transfer
Document Type : Research Paper
Authors
Laboratory on Convective Heat and Mass Transfer, Tomsk State University, 634050, Tomsk, Russia
Abstract
In the present study, the conjugate turbulent free convection with the thermal surface radiation in a rectangular enclosure bounded by walls with different thermophysical characteristics in the presence of a local heater is numerically studied. The effects of surface emissivity and wall materials on the air flow and the heat transfer characteristics are the main focus of the present investigation. The conjugate convective heat transfer for the fluid (air), described in terms of linear momentum, continuity, and energy equations combined with k-ε turbulence model, is predicted by using the finite difference method. The results for the isotherms, streamlines, and average Nusselt numbers along the heat source are presented. The numerical experiments show that an increase in thermal conductivity of solid walls illustrates the enhancement of heat transfer. Eventually, the main result obtained in this work provides a good technical support for the development and research of energy-efficient building materials.
Keywords
- Natural convection
- Surface radiation
- Turbulence
- Heat source
- Thermal conductivity
- Finite difference method
Main Subjects
[1] I.V. Miroshnichenko, M.A. Sheremet, Turbulent natural convection heat transfer in rectangular enclosures using experimental and numerical approaches: A review, Renewable and Sustainable Energy Reviews 82 (2018) 40–59.
[2] A.J.N. Khalifa, W.K. Sahib, Turbulent buoyancy driven convection in partially divided enclosures, Energy Conversion and Management 43 (2002) 2115–2121.
[3] N. Dimassi, L. Dehmani, Experimental heat flux analysis of a solar wall design in Tunisia, Journal of Building Engineering 8 (2016) 70–80.
[4] F. Ampofo, Turbulent natural convection in an air filled partitioned square cavity, International Journal of Heat and Fluid Flow 25 (2004) 103–114.
[5] G. Yang , Y. Huang, J. Wu, L. Zhang, G. Chen, R. Lv, A. Cai, Experimental study and numerical models assessment of turbulent mixed convection heat transfer in a vertical open cavity, Building and Environment 115 (2017) 91-103.
[6] Y.S. Tian, T.G. Karayiannis, Low turbulence natural convection in an air filled square cavity Part I: the thermal and fluid flow fields, International Journal of Heat and Mass Transfer 43 (2000) 849–866.
[7] H.B. Awbi, A. Hatton, Natural convection from heated room surfaces, Energy and Buildings 30 (1999) 233–244.
[8] S. Obyn, G. van Moeseke, Variability and impact of internal surfaces convective heat transfer coefficients in the thermal evaluation of office buildings, Applied Thermal Engineering 87 (2015) 258-272.
[9] X. Zhang, G. Su, J. Yu, Z. Yao, F. He, PIV measurement and simulation of turbulent thermal free convection over a small heat source in a large enclosed cavity, Building and Environment 90 (2015) 105–113.
[10] T. Wu, C. Lei, On numerical modeling of conjugate turbulent natural convection and radiation in a differentially heated cavity, International Journal of Heat and Mass Transfer 91 (2015) 454–466.
[11] A. Alberto, N.M.M. Ramos, R.M.S.F. Almeida, Parametric study of double-skin facades performance in mild climate countries, Journal of Building Engineering 12 (2017) 87–98.
[12] M.A.R. Sharif, W. Liu, Numerical study of turbulent natural convection in a side-heated square cavity at various angles of inclination, Numerical Heat Transfer, Part A 43 (2003) 693–716.
[13] S. Hawendi, S. Gao, Impact of an external boundary wall on indoor flow field and natural cross-ventilation in an isolated family house using numerical simulations, Journal of Building Engineering 10 (2017) 109–123.
[14] Y. Wang, X. Meng, X. Yang, J. Liu, Influence of convection and radiation on the thermal environment in an industrial building with buoyancy-driven natural ventilation, Energy and Buildings 75 (2014) 394–401.
[15] H. Manz, Numerical simulation of heat transfer by natural convection in cavities of facade elements, Energy and Buildings 35 (2003) 305–311.
[16] T. Kogawa, J. Okajima, A. Sakurai, A. Komiya, S. Maruyama, Influence of radiation effect on turbulent natural convection in cubic cavity at normal temperature atmospheric gas, International Journal of Heat and Mass Transfer 104 (2017) 456–466.
[17] A. Ben-Nakhi, M.A. Mahmoud, Conjugate turbulent natural convection in the roof enclosure of a heavy construction building during winter, Applied Thermal Engineering 28 (2008) 1522–1535.
[18] Z. Altac, N. Ugurlubilek, Assessment of turbulence models in natural convection from two- and three-dimensional rectangular enclosures, International Journal of Thermal Sciences 107 (2016) 237–246.
[19] A. Rincón-Casado, F.J. Sánchez de la Flor, E. Chacón Vera, J. Sánchez Ramos, New natural convection heat transfer correlations in enclosures for building performance simulation, Engineering Applications of Computational Fluid Mechanics 11 (2017) 240-356.
[20] A.K. Sharma, K. Velusamy, C. Balaji, Turbulent natural convection in an enclosure with localized heating from below, International Journal of Thermal Sciences 46 (2007) 1232–1241.
[21] E. Sourtiji, S.F. Hosseinizadeh, M. Gorji-Bandpy, J.M. Khodadadi, Computational study of turbulent forced convection flow in a square cavity with ventilation ports, Numerical Heat Transfer, Part A 59 (2011) 954–969.
[22] S.C. Saha, Unsteady natural convection in a triangular enclosure under isothermal heating, Energy and Buildings 43 (2011) 695–703.
[23] A. Sojoudia, S.C. Saha, Y.T. Gu, Natural convection due to differential heating of inclined walls and heat source placed on bottom wall of an attic shaped space, Energy and Buildings 89 (2015) 153–162.
[24] H. Cui, F. Xu, S.C. Saha, A three-dimensional simulation of transient natural convection in a triangular cavity, International Journal of Heat and Mass Transfer 85 (2015) 1012-1022.
[25] S.C. Saha, M.M.K. Khan, A review of natural convection and heat transfer in attic-shaped space, Energy and Buildings 43 (2011) 2564–2571.
[26] B.E. Launder, D.B. Spalding, The numerical computation of turbulent flows, Computer Methods in Applied Mechanics and Engineering 3 (1974) 269–289.
[27] I.V. Miroshnichenko, M.A. Sheremet, Numerical simulation of turbulent natural convection combined with surface thermal radiation in a square cavity, International Journal of Numerical Methods for Heat & Fluid Flow 25 (2015) 1600–1618.
[28] I.V. Miroshnichenko, M.A. Sheremet, A.A. Mohamad, 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 (2016) 172–181.
[29] M.A. Sheremet, I.V. Miroshnichenko, Numerical study of turbulent natural convection in a cube having finite thickness heat-conducting walls, Heat Mass Transfer 51 (2015) 1559–1569.
[30] R. Siegel, J.R. Howell, Thermal Radiation Heat Transfer, Taylor & Francis, London, 2002.
[31] A.A. Samarskii, Theory of difference schemes, Nauka, Moscow, 1977.
[32] S.G. Martyushev, M.A. Sheremet, Conjugate natural convection combined with surface thermal radiation in an air filled cavity with internal heat source, International Journal of Thermal Sciences 76 (2014) 51–67.
[33] F. Ampofo, T.G. Karayiannis, Experimental benchmark data for turbulent natural convection in an air filled square cavity, International Journal of Heat and Mass Transfer 46 (2003) 3551–3572.
[34] H. Dixit, V. Babu, Simulation of high Rayleigh number natural convection in a square cavity using the lattice Boltzmann method, International Journal of Heat and Mass Transfer 49 (2006) 727–739.
[35] C. Zhuo, C. Zhong, LES-based filter-matrix lattice Boltzmann model for simulating turbulent natural convection in a square cavity, International Journal of Heat and Fluid Flow 42 (2013) 10–22.
[36] P. Le Quere, Accurate solutions to the square thermally driven cavity at high Rayleigh number, Computers & Fluids 20 (1991) 29–41.
[37] G. Yang, J.Y. Wu, Effects of natural convection, wall thermal conduction, and thermal radiation on heat transfer uniformity at a heated plate located at the bottom of a three-dimensional rectangular enclosure, Numerical Heat Transfer, Part A: Applications 69 (2016) 589–606.
)
