Abstract
In this paper two immersed boundary methods (IBM), specifically a continuous forcing method (CFM) and a discrete forcing method (DFM), are applied to perform direct numerical simulations (DNSs) of heat transfer problems in tubular fluid-particle systems. Both IBM models are built on the well-developed models utilized in momentum transfer studies, and have the capability to handle mixed boundary conditions at the particle surface as encountered in industrial applications with both active and passive particles. Following a thorough verification of both models for the classical Graetz-Nusselt problem, we subsequently apply them to study a much more advanced Graetz-Nusselt problem of more practical importance with a dense stationary array consisting of hundreds of particles randomly positioned inside a tube with adiabatic wall. The influence of particle sizes and fractional amount of passive particles is analyzed at varying Reynolds numbers, and the simulation results are compared between the two IBM models, finding good agreement. Our results thus qualify the two employed IBM modules for more complex applications.
Original language | English |
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Pages (from-to) | 317-333 |
Number of pages | 17 |
Journal | Chemical Engineering Science |
Volume | 198 |
Early online date | 24 Aug 2018 |
DOIs | |
Publication status | Published - 28 Apr 2019 |
Funding
This work was supported by the research programme of the Foundation for Fundamental Research on Matter (FOM), which is part of the Netherlands Organisation for Scientific Research (NWO) and the Netherlands Center for Multiscale Catalytic Energy Conversion (MCEC), an NWO Gravitation programme funded by the Ministry of Education, Culture and Science of the government of the Netherlands. Part of the simulations were carried out on the Dutch national e-infrastructure with the support of SURF Cooperative. We also acknowledge PRACE for awarding us access to Marconi at CINECA, Italy under PRACE project number 2016143351 and the DECI resource Fionn at ICHEC, Ireland with support from the PRACE aisbl under project number 14DECI005.
Keywords
- Continuous/discrete forcing method
- Direct numerical simulation
- Graetz-Nusselt problem
- Heat transfer
- Immersed boundary method
- Mixed boundary conditions
- Multiphase flow