GPU accelerated numerical study of PCM melting process in an enclosure with internal fins using lattice Boltzmann method

Abstract Latent heat thermal energy storage (LHTES) has many applications in engineering fields such as electronic cooling, thermal storage of solar energy, heating and cooling in buildings, waste heat utilization and so on. The advantages of LHTES over sensible thermal energy storage or chemical energy storage techniques are high energy density and phase change at nearly constant temperature. Unfortunately, the low thermal conductivity of PCMs increases the thermal gradient in the energy storage system and impedes the heat transfer efficiency. However, high thermal conductivity fins could be used to promote the melting process in PCM enclosures. As a powerful numerical method developed during the past two decades, lattice Boltzmann method (LBM) was used to simulate the conjugate heat transfer in the solid walls, fins and PCM region. By changing the velocity field and diffusivities, only one distribution function was needed to simulate the melting with natural convection in PCMs and conduction in fins and enclosure surfaces. As a result, the thermal boundary conditions on the interfaces of PCMs, fins and solid walls were satisfied automatically. By using enthalpy-based multiple-relaxation-time (MRT) LBM model, the iteration steps for the latent-heat source term were avoided. Under this case, the conjugate convective heat transfer with phase change is modeled efficiently. The graphics processing units (GPU) computing becomes attractive since the advent of CUDA which includes both hardware and programming environment in 2007. Consequently, the developed MRT LBM code is further implemented to run on GPU. High computation speed was achieved. The melting process in PCMs was investigated for different materials of fins and walls, number of fins, fin configurations, hot wall temperature, thermal boundary conditions, and inclination angle of the PCM cavity. Lattice Boltzmann method implemented on GPU was demonstrated as an efficient approach to study the PCM melting process with internal fins.

[1]  Amir Faghri,et al.  Enhancement of PCM melting in enclosures with horizontally-finned internal surfaces , 2011 .

[2]  Nikolaus A. Adams,et al.  Implementation of a Lattice–Boltzmann method for numerical fluid mechanics using the nVIDIA CUDA technology , 2009, Computer Science - Research and Development.

[3]  Mohsen Eshraghi,et al.  An implicit lattice Boltzmann model for heat conduction with phase change , 2012 .

[4]  A. Elgafy,et al.  Numerical Study for Enhancing the Thermal Conductivity of Phase Change Material (PCM) Storage using High Thermal Conductivity Porous Matrix , 2005 .

[5]  Rongzong Huang,et al.  An immersed boundary-thermal lattice Boltzmann method for solid-liquid phase change , 2014, J. Comput. Phys..

[6]  Subhash C. Mishra,et al.  Application of the lattice Boltzmann method for solving the energy equation of a 2-D transient conduction–radiation problem , 2005 .

[7]  Bastien Chopard,et al.  Lattice Boltzmann model for melting with natural convection , 2008 .

[8]  Zhixin Li,et al.  A lattice Boltzmann algorithm for fluid–solid conjugate heat transfer , 2007 .

[9]  S. Succi,et al.  Phase-field lattice kinetic scheme for the numerical simulation of dendritic growth. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  Jeng-Rong Ho,et al.  LATTICE BOLTZMANN METHOD FOR THE HEAT CONDUCTION PROBLEM WITH PHASE CHANGE , 2001 .

[11]  Cyrus K. Aidun,et al.  Lattice-Boltzmann Method for Complex Flows , 2010 .

[12]  Liangxing Li,et al.  Numerical investigation on the melting of nanoparticle-enhanced phase change materials (NEPCM) in a bottom-heated rectangular cavity using lattice Boltzmann method , 2015 .

[13]  J. Selman,et al.  Thermal conductivity enhancement of phase change materials using a graphite matrix , 2006 .

[14]  Jure Mencinger,et al.  Numerical simulation of melting in two-dimensional cavity using adaptive grid , 2004 .

[15]  Takayuki Kobayashi,et al.  Boundary condition at a two-phase interface in the lattice Boltzmann method for the convection-diffusion equation. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  C. Balaji,et al.  Method to improve geometry for heat transfer enhancement in PCM composite heat sinks , 2005 .

[17]  Gerhard Wellein,et al.  Performance engineering for the Lattice Boltzmann method on GPGPUs: Architectural requirements and performance results , 2011, ArXiv.

[18]  Luisa F. Cabeza,et al.  Improvement of a thermal energy storage using plates with paraffin–graphite composite , 2005 .

[19]  M. Farhadi,et al.  Simulation of natural convection melting in an inclined cavity using lattice Boltzmann method , 2012 .

[20]  Peter Schossig,et al.  Micro-encapsulated phase-change materials integrated into construction materials , 2005 .

[21]  Yu-Qi Xiao,et al.  An experimental investigation of melting of nanoparticle-enhanced phase change materials (NePCMs) in a bottom-heated vertical cylindrical cavity , 2013 .

[22]  Qinlong Ren,et al.  Natural convection with an array of solid obstacles in an enclosure by lattice Boltzmann method on a CUDA computation platform , 2016 .

[23]  Peter Bailey,et al.  Accelerating Lattice Boltzmann Fluid Flow Simulations Using Graphics Processors , 2009, 2009 International Conference on Parallel Processing.

[24]  Zhixin Li,et al.  Lattice Boltzmann simulations of conjugate heat transfer in high-frequency oscillating flows , 2008 .

[25]  Bernard Tourancheau,et al.  Multi-GPU implementation of the lattice Boltzmann method , 2013, Comput. Math. Appl..

[26]  Ye Zhao,et al.  Lattice Boltzmann based PDE solver on the GPU , 2008, The Visual Computer.

[27]  K. Sagara,et al.  Latent Heat Storage Materials and Systems: A Review , 2005 .

[28]  Luisa F. Cabeza,et al.  Review on thermal energy storage with phase change: materials, heat transfer analysis and applications , 2003 .

[29]  Francis Agyenim,et al.  A review of materials, heat transfer and phase change problem formulation for latent heat thermal energy storage systems (LHTESS) , 2010 .

[30]  Avraham Shitzer,et al.  Numerical optimization of a PCM-based heat sink with internal fins , 2013 .

[31]  B. Shi,et al.  Discrete lattice effects on the forcing term in the lattice Boltzmann method. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[32]  Cho Lik Chan,et al.  Numerical study of double-diffusive convection in a vertical cavity with Soret and Dufour effects by lattice Boltzmann method on GPU , 2016 .

[33]  Renwei Mei,et al.  Conjugate heat and mass transfer in the lattice Boltzmann equation method. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[34]  Zhen-qian Chen,et al.  Lattice Boltzmann simulation of natural convection dominated melting in a rectangular cavity filled with porous media , 2011 .

[35]  Amar M. Khudhair,et al.  A review on phase change energy storage: materials and applications , 2004 .

[36]  M. Farhadi,et al.  Lattice Boltzmann simulation of conjugate heat transfer in a rectangular channel with wall-mounted obstacles , 2011 .

[37]  A. Sari,et al.  Microencapsulated n-octacosane as phase change material for thermal energy storage , 2009 .

[38]  Adrian Bejan,et al.  Scaling theory of melting with natural convection in an enclosure , 1988 .

[39]  M. Lacroix,et al.  NUMERICAL SIMULATION OF NATURAL CONVECTION-DOMINATED MELTING AND SOLIDIFICATION FROM A FINNED VERTICAL WALL , 1997 .

[40]  G. Ziskind,et al.  Numerical investigation of a PCM-based heat sink with internal fins , 2005 .

[41]  Sunil Kumar Singal,et al.  Review of mathematical modeling on latent heat thermal energy storage systems using phase-change material , 2008 .

[42]  Shiyi Chen,et al.  LATTICE BOLTZMANN METHOD FOR FLUID FLOWS , 2001 .

[43]  Rongzong Huang,et al.  Phase interface effects in the total enthalpy-based lattice Boltzmann model for solid-liquid phase change , 2015, J. Comput. Phys..

[44]  Kai Sirén,et al.  Approximate analytical model for solidification in a finite PCM storage with internal fins , 2003 .

[45]  Bernard Tourancheau,et al.  A new approach to the lattice Boltzmann method for graphics processing units , 2011, Comput. Math. Appl..

[46]  Baochang Shi,et al.  Numerical study of heat transfer enhancement in a pipe filled with porous media by axisymmetric TLB model based on GPU , 2014 .

[47]  Qinlong Ren,et al.  Numerical simulation of a 2D electrothermal pump by lattice Boltzmann method on GPU , 2016 .

[48]  Huiying Wu,et al.  A new lattice Boltzmann model for solid–liquid phase change , 2013 .

[49]  M. Gharebaghi,et al.  Enhancement of Heat Transfer in Latent Heat Storage Modules with Internal Fins , 2007 .

[50]  Christian Huber,et al.  Lattice Boltzmann formulation for conjugate heat transfer in heterogeneous media. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[51]  W. Miller The lattice Boltzmann method: a new tool for numerical simulation of the interaction of growth kinetics and melt flow , 2001 .

[52]  A. Sharma,et al.  Review on thermal energy storage with phase change materials and applications , 2009 .

[53]  S. Chakraborty,et al.  An enthalpy-based hybrid lattice-Boltzmann method for modelling solid–liquid phase transition in the presence of convective transport , 2007, Journal of Fluid Mechanics.