Lattice Boltzmann simulations of a radiatively participating fluid in Rayleigh–Benard convection

References

• J. R. Howell, M. P. Menguc, and R. Siegel, Thermal Radiation Heat Transfer. CRC Press, New York, NY, 2010.
   Google Scholar
• M. A. Abbassi, K. Halouani, M.-S. Radhouani, and H. Farhat, “A parametric study of radiative heat transfer in an industrial combustor of wood carbonization fumes,” Numer. Heat Transfer, Part A, vol. 47, no. 8, pp. 825–847, 2005.
   Google Scholar
• K. S. Reddy and N. Sendhil Kumar, “Combined laminar natural convection and surface radiation heat transfer in a modified cavity receiver of solar parabolic dish,” Int. J. Therm. Sci., vol. 47, no. 12, pp. 1647–1657, 2008.
   Google Scholar
• E. A. Spiegel, “The smoothing of temperature fluctuations by radiative transfer,” Astrophys. J., vol. 126, p. 202, 1957.
   Web of Science ®Google Scholar
• P. Ripesi, L. Biferale, M. Sbragaglia, and A. Wirth, “Natural convection with mixed insulating and conducting boundary conditions: Low-and high-rayleigh-number regimes,” J. Fluid Mech., vol. 742, pp. 636–663, 2014.
   Google Scholar
• Y. Fouquart, J. C. Buriez, M. Herman, and R. S. Kandel, “The influence of clouds on radiation: A climate-modeling perspective,” Rev. Geophys., vol. 28, no. 2, pp. 145–166, 1990.
   Google Scholar
• V. K. Ponnulakshmi, V. Mukund, D. K. Singh, K. R. Sreenivas, and G. Subramanian, “Hypercooling in the nocturnal boundary layer: Broadband emissivity schemes,” J. Atmos. Sci., vol. 69, no. 9, pp. 2892–2905, 2012.
   Google Scholar
• Y.-S. Tseng, B.-S. Pei, and T.-C. Hung, “Effects of thermal radiation for electronic cooling on modified pcb geometry under natural convection,” Numer. Heat Transfer, Part A: Appl., vol. 51, no. 2, pp. 195–210, 2007.
   Google Scholar
• Z. Wu, C. Caliot, G. Flamant, and Z. Wang, “Coupled radiation and flow modeling in ceramic foam volumetric solar air receivers,” Solar Energy, vol. 85, no. 9, pp. 2374–2385, 2011.
   Google Scholar
• S. Succi, “Lattice boltzmann 2038,” EPL (Europhys. Lett.), vol. 109, no. 5, p. 50001, 2015.
   Google Scholar
• T. Krüger, H. Kusumaatmaja, A. Kuzmin, O. Shardt, G. Silva, and E. M. Viggen, The Lattice Boltzmann Method: Principles and Practice. Springer International Publishing, Switzerland, 2016.
   Google Scholar
• X. He, S. Chen, and G. D. Doolen, “A novel thermal model for the lattice boltzmann method in incompressible limit,” J. Comput. Phys., vol. 146, no. 1, pp. 282–300, 1998.
   Google Scholar
• X. Shan, “Simulation of rayleigh-bénard convection using a lattice boltzmann method,” Phys. Rev. E, vol. 55, no. 3, p. 2780, 1997.
   Google Scholar
• G. D. Raithby and E. H. Chui, “A finite-volume method for predicting a radiant heat transfer in enclosures with participating media,” ASME, Trans. J. Heat Transfer, vol. 112, pp. 415–423, 1990.
   Google Scholar
• J. C. Chai, H. S. Lee, and S. V. Patankar, “Finite volume method for radiation heat transfer,” J. Thermophys. Heat Transfer, vol. 8, no. 3, pp. 419–425, 1994.
   Google Scholar
• P. Asinari, S. C. Mishra, and R. Borchiellini, “A lattice boltzmann formulation for the analysis of radiative heat transfer problems in a participating medium,” Numer. Heat Transfer, Part B: Fundam., vol. 57, no. 2, pp. 126–146, 2010.
   Google Scholar
• Y. Ma, S. Dong, and H. Tan, “Lattice boltzmann method for one-dimensional radiation transfer,” Phys. Rev. E, vol. 84, no. 1, p. 016704, 2011.
   Google Scholar
• S. C. Mishra, R. Singh, P. Agarwal, and C. H. Krishna, “Analysis of radiative transport in a 2-d cylindrical participating medium subjected to collimated radiation,” Numer. Heat Transfer, Part A: Appl., vol. 66, no. 8, pp. 884–903, 2014.
   Google Scholar
• A. Sakurai, S. C. Mishra, and S. Maruyama, “Radiation element method coupled with the lattice boltzmann method applied to the analysis of transient conduction and radiation heat transfer problem with heat generation in a participating medium,” Numer. Heat Transfer, Part A: Appl., vol. 57, no. 5, pp. 346–368, 2010.
   Google Scholar
• B. Mondal and S. C. Mishra, “Simulation of natural convection in the presence of volumetric radiation using the lattice boltzmann method,” Numer. Heat Transfer, Part A: Appl., vol. 55, no. 1, pp. 18–41, 2009.
   Google Scholar
• R. Singh and S. C. Mishra, “Analysis of radiative heat transfer in a planar participating medium subjected to diffuse and/or collimated radiation–a comparison of the dtm, the dom, and the fvm,” Numer. Heat Transfer, Part A: Appl., vol. 52, no. 5, pp. 481–496, 2007.
   Google Scholar
• B. Mondal and S. C. Mishra, “Application of the lattice boltzmann method and the discrete ordinates method for solving transient conduction and radiation heat transfer problems,” Numer. Heat Transfer, Part A: Appl., vol. 52, no. 8, pp. 757–775, 2007.
   Google Scholar
• S. C. Mishra and A. Lankadasu, “Transient conduction-radiation heat transfer in participating media using the lattice boltzmann method and the discrete transfer method,” Numer. Heat Transfer, Part A: Appl., vol. 47, no. 9, pp. 935–954, 2005.
   Google Scholar
• S. C. Mishra and R. R. Vernekar, “Analysis of transport of collimated radiation in a participating media using the lattice boltzmann method,” J. Quant. Spectrosc. Radiat. Transfer, vol. 113, no. 16, pp. 2088–2099, 2012.
   Google Scholar
• Y. Sun and X. Zhang, “Analysis of transient conduction and radiation problems using the lattice boltzmann and discrete ordinates methods,” Numer. Heat Transfer, Part A: Appl., vol. 68, no. 6, pp. 619–637, 2015.
   Google Scholar
• K. Luo, H.-L. Yi, and H.-P. Tan, “Coupled radiation and mixed convection in an eccentric annulus using the hybrid strategy of lattice boltzmann-meshless method,” Numer. Heat Transfer, Part B: Fundam., vol. 66, no. 3, pp. 243–267, 2014.
   Google Scholar
• S. C. Mishra and H. K. Roy. “Solving transient conduction and radiation heat transfer problems using the lattice boltzmann method and the finite volume method,” J. Comput. Phys., vol. 223, no. 1, pp. 89–107, 2007.
   Google Scholar
• B. Mondal and S. C. Mishra, “Simulation of natural convection in the presence of volumetric radiation using the lattice boltzmann method,” Numer. Heat Transfer, Part A: Appl., vol. 55, no. 1, pp. 18–41, 2008.
   Google Scholar
• R. McCulloch and H. Bindra, “Coupled radiative and conjugate heat transfer in participating media using lattice Boltzmann methods,” Comput. & Fluids, vol. 124, pp. 261–269, 2016.
   Google Scholar
• S. C. Mishra, H. Poonia, A. K. Das, P. Asinari, and R. Borchiellini, “Analysis of conduction-radiation heat transfer in a 2d enclosure using the lattice boltzmann method,” Numer. Heat Transfer, Part A: Appl., vol. 66, no. 6, pp. 669–688, 2014.
   Google Scholar
• S. C. Mishra, A. Akhtar, and A. Garg, “Numerical analysis of rayleigh-bénard convection with and without volumetric radiation,” Numer. Heat Transfer, Part A: Appl., vol. 65, no. 2, pp. 144–164, 2014.
   Google Scholar
• S. Succi, The Lattice Boltzmann Equation: For Fluid Dynamics and Beyond. Oxford University Press, 2001.
   Google Scholar
• A. A. Mohamad, Lattice Boltzmann Method: Fundamentals and Engineering Applications with Computer Codes. Springer Link: Bücher. Springer-Verlag, London, 2011.
   Google Scholar
• H. N. Dixit and V. Babu, “Simulation of high Rayleigh number natural convection in a square cavity using the lattice Boltzmann method,” Int. J. Heat Mass Transfer, vol. 49, nos. 3–4, pp. 727–739, 2006.
   Google Scholar
• A. Christensen and S. Graham, “Multiscale lattice boltzmann modeling of phonon transport in crystalline semiconductor materials,” Numer. Heat Transfer, Part B: Fundam., vol. 57, no. 2, pp. 89–109, 2010.
   Google Scholar
• M. A. Delavar, M. Farhadi, and K. Sedighi, “Effect of discrete heater at the vertical wall of the cavity over the heat transfer and entropy generation using lattice boltzmann method,” Therm. Sci., vol. 15, no. 2, pp. 423–435, 2011.
   Google Scholar
• S. Toppaladoddi, S. Succi, and J. S. Wettlaufer, “Roughness as a route to the ultimate regime of thermal convection,” Phys. Rev. Lett., vol. 118, no. 7, p. 074503, 2017.
   Google Scholar
• H.-L. Yi, F.-J. Yao, and H.-P. Tan, “Lattice boltzmann model for a steady radiative transfer equation,” Phys. Rev. E, vol. 94, no. 2, p. 023312, 2016.
   Google Scholar
• P.-H. Kao and R.-J. Yang, “Simulating oscillatory flows in Rayleigh–Benard convection using the lattice boltzmann method,” Int. J. Heat Mass Transfer, vol. 50, no. 17, pp. 3315–3328, 2007.
   Google Scholar
• S. C. Mishra, H. Poonia, R. R. Vernekar, and A. K. Das, “Lattice boltzmann method applied to radiative transport analysis in a planar participating medium,” Heat Transfer Eng., vol. 35, nos. 14–15, pp. 1267–1278, 2014.
   Google Scholar
• F. Bd’eoui and A. Soufiani, “The onset of Rayleigh-Benard instability in molecular radiating gases,” Phys. Fluids, vol. 9(December), pp. 3858–3872, 1997.
   Google Scholar