Lattice Boltzmann investigation for enhancing the thermal conductivity of ice using Al₂O₃ porous matrix

References

• Agyenim , F. 2010 . A review of materials, heat transfer and phase change problem formulation for latent heat thermal energy storage systems (LHTESS) . Renewable and Sustainable Energy Reviews , 14 ( 2 ) : 615 – 628 .
   Web of Science ®Google Scholar
• Beckermann , C. and Viskanta , R. 1988 . Natural convection solid/liquid phase change in porous media . International Journal of Heat and Mass Transfer , 31 ( 1 ) : 35 – 46 .
   Web of Science ®Google Scholar
• Bejan , A. 1989 . Theory of melting with natural convection in an enclosed porous medium . ASME Journal of Heat Transfer , 111 ( 2 ) : 407 – 415 .
   Google Scholar
• Benzi , R. , Succi , S. and Vergassola , M. 1992 . The Lattice Boltzmann equation: theory and applications . Physics Report , 222 ( 3 ) : 145 – 197 .
   Web of Science ®Google Scholar
• Chang , W.J. and Yang , D.F. 1996 . Natural convection for the melting of ice in porous media in a rectangular enclosure . International Journal of Heat and Mass Transfer , 39 ( 11 ) : 2335 – 2348 .
   Web of Science ®Google Scholar
• Chatterjee , D. and Chakraborty , S. 2005 . An enthalpy-based Lattice Boltzmann model for diffusion dominated solid-liquid phase transformation . Physics Letters A , 341 ( 1–4 ) : 320 – 330 .
   Web of Science ®Google Scholar
• Chatterjee , D. and Chakraborty , S. 2008 . An enthalpy-source based Lattice Boltzmann model for conduction dominated phase change of pure substances . International Journal of Thermal Sciences , 47 ( 5 ) : 552 – 559 .
   Web of Science ®Google Scholar
• Chen , S. and Doolen , G.D. 1998 . Lattice Boltzmann method for fluid flows . Annual Review Fluid Mechanics , 30 ( 1 ) : 329 – 364 .
   Web of Science ®Google Scholar
• Davies , A.R. , Summers , J.L. and Wilson , M.C.T. 2006 . On a dynamic wetting model for the finite-density multiphase Lattice Boltzmann method . International Journal of Computational Fluid Dynamics , 20 ( 6 ) : 415 – 425 .
   Web of Science ®Google Scholar
• Ergun , S. 1952 . Flow through packed columns . Chemical Engineering Progress , 48 ( 2 ) : 89 – 94 .
   Web of Science ®Google Scholar
• Fan , L. and Khodadadi , J.M. 2011 . Thermal conductivity enhancement of phase change materials for thermal energy storage: A review . Renewable and Sustainable Energy Reviews , 15 ( 1 ) : 24 – 46 .
   Web of Science ®Google Scholar
• Farid , M.M. 2004 . A review on phase change energy storage: materials and applications . Energy Conversion Management , 45 ( 9–10 ) : 1597 – 1615 .
   Web of Science ®Google Scholar
• Gao , D. and Chen , Z. 2011 . Lattice Boltzmann simulation of natural convection dominated melting in a rectangular cavity filled with porous media . International Journal of Thermal Sciences , 50 ( 4 ) : 493 – 501 .
   Web of Science ®Google Scholar
• Guo , Z.L. and Zhao , T.S. 2002 . Lattice Boltzmann model for incompressible flows through porous media . Physical Review E , 66 ( 3 ) : 036304
   Web of Science ®Google Scholar
• Guo , Z.L. and Zhao , T.S. 2005 . A Lattice Boltzmann model for convection heat transfer in porous media . Numerical Heat Transfer: Part B , 47 ( 2 ) : 157 – 177 .
   Web of Science ®Google Scholar
• Guo , Z. and Zheng , C. 2008 . Analysis of Lattice Boltzmann equation for microscale gas flows: relaxation times, boundary conditions and the Knudsen layer . International Journal of Computational Fluid Dynamics , 22 ( 7 ) : 465 – 473 .
   Web of Science ®Google Scholar
• Huber , C. 2008 . Lattice Boltzmann model for melting with natural convection . International Journal of Heat and Fluid Flow , 29 ( 5 ) : 1469 – 1480 .
   Web of Science ®Google Scholar
• Jany , P. and Bejan , A. 1988a . Scales of melting in the presence of natural convection in a rectangular cavity filled with porous medium . ASME Journal of Heat Transfer , 110 : 526 – 529 .
   Web of Science ®Google Scholar
• Jany , P. and Bejan , A. 1988b . Scaling theory of melting with natural convection in an enclosure . International Journal of Heat and Mass Transfer , 31 ( 6 ) : 1221 – 1235 .
   Web of Science ®Google Scholar
• Jiaung , W.S. , Ho , J.R. and Kuo , C.P. 2001 . Lattice-Boltzmann method for the heat conduction problem with phase change . Numerical Heat Transfer: Part B , 39 ( 2 ) : 167 – 187 .
   Web of Science ®Google Scholar
• Jourabian , M. 2012 . Simulation of natural convection melting in a cavity with fin using Lattice Boltzmann method . International Journal for Numerical Methods in Fluids, 70 (3), 313–325 ,
   Google Scholar
• Kazmierczak , M. , Poulikakos , D. and Pop , I. 1986 . Melting from a flat plate embedded in a porous medium in the presence of steady natural convection . Numerical Heat Transfer , 10 ( 6 ) : 571 – 582 .
   Web of Science ®Google Scholar
• Ladd , A.J.C. 1994 . Numerical simulations of particulate suspensions via a discretized Boltzmann equation Part I. Theoretical foundation . Journal of Fluid Mechanics , 271 : 285 – 309 .
   Web of Science ®Google Scholar
• Li , W.Q. 2011 . Experimental and numerical studies on melting phase change heat transfer in open-cell metallic foams filled with paraffin . Applied thermal Engineering, 37, 1–9 ,
   Google Scholar
• Liu , H. , Zhou , G.J. and Burrows , R. 2009 . Lattice Boltzmann model for shallow water flows in curved and meandering channels . International Journal of Computational Fluid Dynamics , 23 ( 3 ) : 209 – 220 .
   Web of Science ®Google Scholar
• Medvedev , D. and Kassner , K. 2005 . Lattice Boltzmann scheme for crystal growth in external flows . Physical Review E , 72 ( 5 ) : 1 – 10 .
   Web of Science ®Google Scholar
• Mesalhy , O. 2005 . Numerical study for enhancing the thermal conductivity of the phase change material (PCM) storage using high thermal conductivity porous matrix . Energy Conversion and Management , 46 ( 6 ) : 847 – 867 .
   Web of Science ®Google Scholar
• Miller , W. and Succi , S. 2002 . A Lattice Boltzmann model for anisotropic crystal growth from melt . Journal of Statistical Physics , 107 ( 1–2 ) : 173 – 186 .
   Web of Science ®Google Scholar
• Rasin , I. , Miller , W. and Succi , S. 2005 . Phase-field lattice kinetic scheme for the numerical simulation of dendritic growth . Physical Review E , 72 ( 6 ) : 1 – 10 .
   Web of Science ®Google Scholar
• Semma , E. 2008 . Investigation of flows in solidification by using the Lattice Boltzmann method . International Journal of Thermal Sciences , 47 ( 3 ) : 201 – 208 .
   Web of Science ®Google Scholar
• Seta , T. , Takegoshi , E. and Okui , K. 2006 . Lattice Boltzmann simulation of natural convection in porous media . Mathematics and Computers in Simulation , 72 ( 2–6 ) : 195 – 200 .
   Web of Science ®Google Scholar
• Shi , B.C. and Guo , Z.L. 2009 . Lattice Boltzmann model for nonlinear convection-diffusion equations . Physical Review E , 79 ( 1 ) : 016701
   Web of Science ®Google Scholar
• Thommes , G. 2009 . Numerical investigation of a combined Lattice Boltzmann-level set method for three-dimensional multiphase flow . International Journal of Computational Fluid Dynamics , 23 ( 10 ) : 687 – 697 .
   Web of Science ®Google Scholar
• Tian , Y. and Zhao , C.Y. 2011 . A numerical investigation of heat transfer in phase change materials (PCMs) embedded in porous metals . Energy , 36 ( 9 ) : 5539 – 5546 .
   Web of Science ®Google Scholar
• Tong , X. , Khan , J.A. and Amin , M.R. 1996 . Enhancement of heat transfer by inserting a metal matrix into a phase change material . Numerical Heat Transfer Part A , 30 ( 2 ) : 125 – 141 .
   Web of Science ®Google Scholar
• Vafai , K. 1984 . Convective flow and heat transfer in variable porosity media . Journal of Fluid Mechanics , 147 : 233 – 259 .
   Web of Science ®Google Scholar
• Weaver , J.A. and Viskanta , R. 1986 . Freezing of liquid-saturated porous media . ASME Journal of Heat Transfer , 108 ( 3 ) : 654 – 659 .
   Web of Science ®Google Scholar
• Zhang , X. and Nguyen , T.H. 1994 . Numerical study of convection heat transfer during the melting of ice in a porous layer . Numerical Heat Transfer Part A , 25 ( 5 ) : 559 – 574 .
   Web of Science ®Google Scholar
• Zhou , D. and Zhao , C.Y. 2011 . Experimental investigations on heat transfer in phase change materials (PCMs) embedded in porous materials . Applied Thermal Engineering , 31 ( 5 ) : 970 – 977 .
   Web of Science ®Google Scholar