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Heat transfer analysis of a porously covered heated square cylinder, using a hybrid Navier-Stokes-lattice Boltzmann numerical method

Salimi, M. R ; Sharif University of Technology | 2015

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  1. Type of Document: Article
  2. DOI: 10.1016/j.ijthermalsci.2015.01.004
  3. Publisher: Elsevier Masson SAS , 2015
  4. Abstract:
  5. In this work, two-dimensional laminar flow and heat transfer across a heated square cylinder, covered by a porous layer in a plane channel have been numerically investigated. The flow and thermal fields inside the porous layer were simulated using BrinkmaneForchmeyer extended Darcy model. Simulations were performed in different Reynolds numbers (Re = 60, 120, 160, and 200), porosities (ω = 0.7, 0.87, and 0.96), solid to fluid thermal conductivity ratios (λR = 10, 200, and 2000) and blockage ratios (BR = 0.5, 0.25 and 0.125). The effects of the mentioned parameters on pressure drop and heat transfer rate were investigated in detail. Also, the contribution of each side of the central squared solid cylinder at averaged Nusselt number was studied. Numerical solutions were obtained based on a hybrid FVMeLBM method, in order to reduce the computational cost (compared with pure LBM). The flow and heat transfer were simulated by multiple relaxation time (MRT) thermal lattice Boltzmann (TLBM) equations at the obstacle near field and the NaviereStokes equations (Finite Volume Method and SIMPLE algorithm) were employed to the surrounding far region. The related results reveal that the front (upstream) side of the cylinder has the major and the back (downstream) side has the minor contribution on averaged Nusselt number. Additionally, for the range of Reynolds numbers mentioned above, the effect of the blockage ratio (cylinder to channel width ratio) on averaged Nusselt number is negligible for BR < 0.25. It was also shown that at high thermal conductivity ratios (e.g., λR = 2000), higher porosities (e.g., ω = 0.96) have much better augmenting effects on averaged Nusselt number
  6. Keywords:
  7. Cylinders (shapes) ; Finite volume method ; Laminar flow ; Navier Stokes equations ; Numerical methods ; Nusselt number ; Porosity ; Reynolds number ; Thermal conductivity ; Thermal conductivity of liquids ; Thermal conductivity of solids ; Heat transfer analysis ; High thermal conductivity ; Hybrid FVMeLBM ; Multiple-relaxation time ; Porous covering ; Thermal conductivity ratio ; Two-dimensional laminar flow ; Unsteady laminar flow ; Heat transfer
  8. Source: International Journal of Thermal Sciences ; Volume 91 , May , 2015 , Pages 59-75 ; 12900729 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S129007291500006X