Direct Numerical Simulation of particulate flow with heat transfer
Numerical simulations of heat transfer in non-isothermal particulate flows are important to better understand the flow pattern. The complexity of numerical algorithms coupling the heat and mass transfer and the considerable computational resources required limit the number of such direct simulations...
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| Vydáno v: | The International journal of heat and fluid flow Ročník 31; číslo 6; s. 1050 - 1057 |
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| Hlavní autoři: | , |
| Médium: | Journal Article Konferenční příspěvek |
| Jazyk: | angličtina |
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New York, NY
Elsevier Inc
01.12.2010
Elsevier |
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| ISSN: | 0142-727X, 1879-2278 |
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| Abstract | Numerical simulations of heat transfer in non-isothermal particulate flows are important to better understand the flow pattern. The complexity of numerical algorithms coupling the heat and mass transfer and the considerable computational resources required limit the number of such direct simulations that can be reasonably performed. We suggest a Distributed Lagrange Multiplier/Fictitious Domain (DLM/FD) method to compute the temperature distribution and the heat exchange between the fluid and solid phases. The Boussinesq approximation is considered for the flow/temperature fields coupling. We employ a Finite Element Method (FEM) to solve the fluid flow conservation equations for mass, momentum and energy. The motion of particles is computed by a Discrete Element Method (DEM). On each particle, heat transfer is solved using a FEM. For each class of particles, we generate a single FEM grid and translate/rotate it at each time step to match the physical configuration of each particle. Distributed Lagrange multipliers for both the velocity and temperature fields are introduced to treat the fluid/solid interaction. This work is an extension of the method we proposed in
Yu et al. (2006). Two two-dimensional (2D) test cases are proposed to validate the implementation by comparing our computational results with those reported in the literature. Finally, the sedimentation of a single sphere in a semi-infinite channel is presented and the results are discussed. |
|---|---|
| AbstractList | Numerical simulations of heat transfer in non-isothermal particulate flows are important to better understand the flow pattern. The complexity of numerical algorithms coupling the heat and mass transfer and the considerable computational resources required limit the number of such direct simulations that can be reasonably performed. We suggest a Distributed Lagrange Multiplier/Fictitious Domain (DLM/FD) method to compute the temperature distribution and the heat exchange between the fluid and solid phases. The Boussinesq approximation is considered for the flow/temperature fields coupling. We employ a Finite Element Method (FEM) to solve the fluid flow conservation equations for mass, momentum and energy. The motion of particles is computed by a Discrete Element Method (DEM). On each particle, heat transfer is solved using a FEM. For each class of particles, we generate a single FEM grid and translate/rotate it at each time step to match the physical configuration of each particle. Distributed Lagrange multipliers for both the velocity and temperature fields are introduced to treat the fluid/solid interaction. This work is an extension of the method we proposed in Yu et al. (2006). Two two-dimensional (2D) test cases are proposed to validate the implementation by comparing our computational results with those reported in the literature. Finally, the sedimentation of a single sphere in a semi-infinite channel is presented and the results are discussed. Numerical simulations of heat transfer in non-isothermal particulate flows are important to better understand the flow pattern. The complexity of numerical algorithms coupling the heat and mass transfer and the considerable computational resources required limit the number of such direct simulations that can be reasonably performed. We suggest a Distributed Lagrange Multiplier/Fictitious Domain (DLM/FD) method to compute the temperature distribution and the heat exchange between the fluid and solid phases. The Boussinesq approximation is considered for the flow/temperature fields coupling. We employ a Finite Element Method (FEM) to solve the fluid flow conservation equations for mass, momentum and energy. The motion of particles is computed by a Discrete Element Method (DEM). On each particle, heat transfer is solved using a FEM. For each class of particles, we generate a single FEM grid and translate/rotate it at each time step to match the physical configuration of each particle. Distributed Lagrange multipliers for both the velocity and temperature fields are introduced to treat the fluid/solid interaction. This work is an extension of the method we proposed in Yu et al. (2006). Two two-dimensional (2D) test cases are proposed to validate the implementation by comparing our computational results with those reported in the literature. Finally, the sedimentation of a single sphere in a semi-infinite channel is presented and the results are discussed. |
| Author | Dan, C. Wachs, A. |
| Author_xml | – sequence: 1 givenname: C. surname: Dan fullname: Dan, C. organization: Fluid Mechanics Department, IFP, 1 et 4, Avenue du Bois Préau, 92852 Rueil-Malmaison Cedex, France – sequence: 2 givenname: A. surname: Wachs fullname: Wachs, A. email: anthony.wachs@ifp.fr organization: Fluid Mechanics Department, IFP, 1 et 4, Avenue du Bois Préau, 92852 Rueil-Malmaison Cedex, France |
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| Keywords | Finite Element Method Heat transfer Discrete Element Method Distributed Lagrange Multiplier/Fictitious Domain Temperature distribution Digital simulation Distributed Lagrange Multiplier/Fictitious Discrete element method Particle suspension Sedimentation Finite element method Lagrange multiplier Two-phase flow Heat mass transfer Modelling Domain |
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| References | Feng, Michaelides (bib2) 2009; 38 Mograbi, Bar-Ziv (bib9) 2005; 36 TenCate, Nieuwstad, Derksen, Van den Akker (bib11) 2002; 14 Glowinski, Pan, Helsa, Joseph (bib6) 1999; 25 Wachs (bib13) 2009; 38 Kotouc, Bouchet, Dusek (bib8) 2008; 51 Kim, Choi (bib7) 2004; 18 Pacheco, Pacheco-Vega, Rodic, Peck (bib10) 2005; 48 Veeramani, Minev, Nandakumar (bib12) 2007; 224 Yu, Shao, Wachs (bib14) 2006; 217 Gan, Feng, Hu (bib5) 2003; 29 Gan, Chang, Feng, Hu (bib4) 2003; 481 Feng, Michaelides (bib3) 2009; 52 Feng, Michaelides (bib1) 2008; 20 Kim (10.1016/j.ijheatfluidflow.2010.07.007_bib7) 2004; 18 Gan (10.1016/j.ijheatfluidflow.2010.07.007_bib4) 2003; 481 Veeramani (10.1016/j.ijheatfluidflow.2010.07.007_bib12) 2007; 224 Pacheco (10.1016/j.ijheatfluidflow.2010.07.007_bib10) 2005; 48 Glowinski (10.1016/j.ijheatfluidflow.2010.07.007_bib6) 1999; 25 Gan (10.1016/j.ijheatfluidflow.2010.07.007_bib5) 2003; 29 Mograbi (10.1016/j.ijheatfluidflow.2010.07.007_bib9) 2005; 36 Wachs (10.1016/j.ijheatfluidflow.2010.07.007_bib13) 2009; 38 Yu (10.1016/j.ijheatfluidflow.2010.07.007_bib14) 2006; 217 Feng (10.1016/j.ijheatfluidflow.2010.07.007_bib1) 2008; 20 Feng (10.1016/j.ijheatfluidflow.2010.07.007_bib3) 2009; 52 Feng (10.1016/j.ijheatfluidflow.2010.07.007_bib2) 2009; 38 Kotouc (10.1016/j.ijheatfluidflow.2010.07.007_bib8) 2008; 51 TenCate (10.1016/j.ijheatfluidflow.2010.07.007_bib11) 2002; 14 |
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| SubjectTerms | Analytical and numerical techniques Computation Computational fluid dynamics Computer simulation Discrete Element Method Distributed Lagrange Multiplier/Fictitious Domain Exact sciences and technology Finite Element Method Fluid flow Fluids Fundamental areas of phenomenology (including applications) Heat transfer Heat transfer in inhomogeneous media, in porous media, and through interfaces Mathematical models Physics Temperature distribution |
| Title | Direct Numerical Simulation of particulate flow with heat transfer |
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