Abstract

Heat transfer is a crucial aspect of thermochemical conversion of pulverized fuels. Over-predicting the heat transfer during heat-up leads to under-estimation of the ignition time, while under-predicting the heat loss during the char conversion leads to an over-estimation of the burnout rates. This effect is relevant for dense particle jets injected from dense-phase pneumatic conveying. Heat fluxes characteristic of such dense jets can significantly differ from single particles, although a single, representative particle commonly models them in Euler–Lagrange models. Particle-resolved direct numerical simulations revealed that common representative particles approaches fail to reproduce the dense-jet characteristics. They also confirm that dense clusters behave similar to larger, porous particles, while the single particle characteristic prevails for sparse clusters. Hydrodynamics causes this effect for convective heat transfer since dense clusters deflect the inflowing fluid and shield the center. Reduced view factors cause reduced radiative heat fluxes for dense clusters. Furthermore, convection is less sensitive to cluster shape than radiative heat transfer. New heat transfer models were derived from particle resolved simulations of particle clusters. Heat transfer increases at higher void fractions and vice versa, which is contrary to most existing models. Although derived from regular particle clusters, the new convective heat transfer models reasonably handle random clusters. Contrary, the developed correction for the radiative heat flux over-predicts shading effects for random clusters because of the used cluster shape. In unresolved Euler–Lagrange models, the new heat transfer models can significantly improve dense particle jets’ heat-up or thermochemical conversion modeling.

Highlights

  • Computational investigation of industrial processes or virtual prototyping has become popular in research and development, while lab-scale equipment can be simulated in high detail, current computational resources prohibit the fully resolved investigation of larger or industrial-scale facilities

  • The resolved simulations focus on convective heat transfer and disregard radiative heat transfer. Both aspects contradict the underlying physics of the heat-up of pulverized particle jets [34,35,36,37], because (i) dense and dispersed jet regions exist, (ii) computational parcels can be seen as particle agglomerates, (iii) which move with the fluid, and (iv) radiative heat transfer is critical at combustion temperatures

  • Two different model types are developed based on these observations: (i) a correction for the projected cluster surface area participating in the radiative heat transfer and (ii) a convective heat transfer model taking into account the cluster void fraction and relative velocity

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Summary

Introduction

Computational investigation of industrial processes or virtual prototyping has become popular in research and development, while lab-scale equipment can be simulated in high detail, current computational resources prohibit the fully resolved investigation of larger or industrial-scale facilities. The convective and radiative heat flux towards such computational parcels might be overpredicted if parcels are interpreted as physical particle clusters in turbulent flow because the modeling approach disregards flow shielding and radiation shading of the particles in the central cluster regions [12,13,14] These effects might be captured by suitable representative particles or appropriate heat transfer correlations. The resolved simulations focus on convective heat transfer and disregard radiative heat transfer Both aspects contradict the underlying physics of the heat-up of pulverized particle jets [34,35,36,37], because (i) dense and dispersed jet regions exist, (ii) computational parcels can be seen as particle agglomerates, (iii) which move with the fluid, and (iv) radiative heat transfer is critical at combustion temperatures. A short introduction of the heat transfer equations employed for unresolved EL modeling is given in Section 2, before the synthetic cluster and reference sphere simulations are presented

Heat Transfer Modeling in Lagrangian Parcels
Synthetic Particle Cluster
Single Sphere Reference Cases
Cluster Heat Transfer Models
Projected Surface Area Correction
Convective Heat Transfer Model
Comparison with Random Cluster Simulations
Comparison of Nusselt Correlations from Literature
Euler–Lagrangian Validation Simulations
Convective Heat Transfer Model Validation
Projected Surface Area Correction Validation
Findings
Summary and Conclusions
Full Text
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