Investigation on Instability of Rayleigh-Benard Convection Using Lattice Boltzmann Method with a Modified Boundary Condition

سال انتشار: 1397
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 428

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شناسه ملی سند علمی:

JR_JCAM-49-2_002

تاریخ نمایه سازی: 18 تیر 1398

چکیده مقاله:

In this study, the effects of Prandtl number on the primary and secondary instability of the Rayleigh-Benard convection problem has been investigated using the lattice Boltzmann method. Two different cases as Pr=5.8 and 0.7 representing the fluid in liquid and gas conditions are examined. A body forces scheme of the lattice Boltzmann method was presented. Two types of boundary conditions in the presence of body forces are analyzed by the moment method and applied to a Poiseuille flow. Characteristic velocity was set in such a way that the compressibility effects are negligible. The calculations show that the increment of Prandtl number from 0.7 to 5.8 causes to create a secondary instability and onset of the oscillation in the flow field. Results show that at Pr=5.8, when the Rayleigh number is increased, a periodic solution appeared at Ra=48,000. It is observed that the dimensionless frequency ratio for Ra= 105 with Pr=5.8 is around 0.0065. The maximum Nusselt number for Ra = 105 with Pr=5.8 are estimated to be 5.4942.

نویسندگان

Mostafa Varmazyar

Department of Mechanical Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran

Mohammadreza habibi

Research Institute of Petroleum Industry, Tehran, Iran

Arash Mohammadi

Department of Mechanical Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran

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  • M. M. Holland, C. M. Bitz, M. Eby, A. J. ...
  • A. Wirth, B. Barnier, Tilted plumes in numerical convection experiments, ...
  • D.-J. Yao, J.-R. Chen, W.-T. Ju, Micro–Rayleigh-Bénard convection polymerase chain ...
  • N. Agrawal, V. M. Ugaz, A buoyancy-driven compact thermocycler for ...
  • M. Hennig, D. Braun, Convective polymerase chain reaction around micro ...
  • S. Banerjee, A. Mukhopadhyay, S. Sen, R. Ganguly, Natural convection ...
  • A. Chaehoi, F. Mailly, L. Latorre, P. Nouet, Experimental and ...
  • Z.-Y. Guo, Z.-X. Li, Size effect on microscale single-phase flow ...
  • X. J. Hu, A. Jain, K. E. Goodson, Investigation of ...
  • M.-S. Nazari, M. Kayhani, A Comparative Solution of Natural Convection ...
  • Analysis of Heat transfer in Porous Fin with Temperature-dependent Thermal Conductivity and Internal Heat Generation using Chebychev Spectral Collocation Method [مقاله ژورنالی]
  • On the onset of triple-diffusive convection in a layer of nanofluid [مقاله ژورنالی]
  • G. Ahlers, S. Grossmann, D. Lohse, Heat transfer and large ...
  • A. Puhl, M. M. Mansour, M. Mareschal, Quantitative comparison of ...
  • E. D. Siggia, High Rayleigh number convection, Annual review of ...
  • G. Freund, W. Pesch, W. Zimmermann, Rayleigh–Bénard convection in the ...
  • S. Weiß, G. Seiden, E. Bodenschatz, Pattern formation in spatially ...
  • G. Seiden, S. Weiss, J. H. McCoy, W. Pesch, E. ...
  • M. Hossain, J. Floryan, Heat transfer due to natural convection ...
  • M. Hossain, J. M. Floryan, Instabilities of natural convection in ...
  • P. Ripesi, L. Biferale, M. Sbragaglia, A. Wirth, Natural convection ...
  • S. Chen, G. D. Doolen, Lattice Boltzmann method for fluid ...
  • X. He, L.-S. Luo, A priori derivation of the lattice ...
  • S. Succi, 2001, The lattice Boltzmann equation: for fluid dynamics ...
  • D. Yu, R. Mei, L.-S. Luo, W. Shyy, Viscous flow ...
  • A. J. Moghadam, TWO-FLUID ELECTROKINETIC FLOW IN A CIRCULAR MICROCHANNEL ...
  • P. Pashaie, M. Jafari, H. Baseri, M. Farhadi, Nusselt number ...
  • M. Varmazyar, M. Bazargan, Development of a thermal lattice Boltzmann ...
  • M. Jafari, M. Farhadi, K. Sedighi, E. Fattahi, Effect of ...
  • H. Ashorynejad, M. Sheikholeslami, E. Fattahi, Lattice boltzmann simulation of ...
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  • S. Chen, H. Chen, D. Martnez, W. Matthaeus, Lattice Boltzmann ...
  • B. M. Riley, J. C. Richard, S. S. Girimaji, Assessment ...
  • X. He, S. Chen, R. Zhang, A lattice Boltzmann scheme ...
  • T. Inamuro, T. Ogata, S. Tajima, N. Konishi, A lattice ...
  • S. Tilehboni, K. Sedighi, M. Farhadi, E. Fattahi, Lattice Boltzmann ...
  • Four different types of a single drop dripping down a hole under gravity by lattice Boltzmann method [مقاله ژورنالی]
  • M. Varmazyar, M. Bazargan, Modeling of Free Convection Heat Transfer ...
  • L.-S. Luo, Unified theory of lattice Boltzmann models for nonideal ...
  • M. Varmazyar, M. Bazargan, Numerical Investigation of the Piston Effect ...
  • X. Shan, Simulation of Rayleigh-Bénard convection using a lattice Boltzmann ...
  • F. Busse, H. Frick, Square-pattern convection in fluids with strongly ...
  • X. He, S. Chen, G. D. Doolen, A novel thermal ...
  • R. Clever, F. Busse, Transition to time-dependent convection, Journal of ...
  • P.-H. Kao, R.-J. Yang, Simulating oscillatory flows in Rayleigh–Benard convection ...
  • J. Wang, D. Wang, P. Lallemand, L.-S. Luo, Lattice Boltzmann ...
  • Z. Guo, C. Zheng, B. Shi, Discrete lattice effects on ...
  • S. Chen, D. Martinez, R. Mei, On boundary conditions in ...
  • J. Latt, Hydrodynamic limit of lattice Boltzmann equations,  Thesis, University ...
  • J. Latt, B. Chopard, O. Malaspinas, M. Deville, A. Michler, ...
  • N. S. Martys, H. Chen, Simulation of multicomponent fluids in ...
  • D. R. Noble, S. Chen, J. G. Georgiadis, R. O. ...
  • P. Skordos, Initial and boundary conditions for the lattice Boltzmann ...
  • S.-M. Li, D. K. Tafti, Near-critical CO 2 liquid–vapor flow ...
  • R. Allen, T. Reis, A lattice Boltzmann model for natural ...
  • S. Bennett, A lattice Boltzmann model for diffusion of binary ...
  • P. L. Bhatnagar, E. P. Gross, M. Krook, A model ...
  • A. Ladd, R. Verberg, Lattice-Boltzmann simulations of particle-fluid suspensions, Journal ...
  • N. S. Martys, J. F. Douglas, Critical properties and phase ...
  • T. Inamuro, M. Yoshino, H. Inoue, R. Mizuno, F. Ogino, ...
  • Y. Zhou, R. Zhang, I. Staroselsky, H. Chen, Numerical simulation ...
  • Y. Peng, C. Shu, Y. Chew, Simplified thermal lattice Boltzmann ...
  • X. Shan, H. Chen, Simulation of nonideal gases and gas-liquid ...
  • L.-S. Luo, Lattice-gas automata and lattice Boltzmann equations for two-dimensional ...
  • W. Reid, D. Harris, Some further results on the Bénard ...
  • K. Xu, S. H. Lui, Rayleigh-Bénard simulation using the gas-kinetic ...
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