Numerical study of convective heat transfer in static arrangements of particles with arbitrary shapes: A monolithic hybrid lattice Boltzmann-finite difference-phase field solver--颗粒学报PARTICUOLOGY

Namdar, R., Khodsiani, M., Safari, H., Neeraj, T., Hosseini, S. A., Beyrau, F., . . . Varnik, F. (2024). Numerical study of convective heat transfer in static arrangements of particles with arbitrary shapes: A monolithic hybrid lattice Boltzmann-finite difference-phase field solver. Particuology, 85, 186-197. https://doi.org/10.1016/j.partic.2023.03.020

Numerical study of convective heat transfer in static arrangements of particles with arbitrary shapes: A monolithic hybrid lattice Boltzmann-finite difference-phase field solver

Reza Namdar ^a, Mohammadhassan Khodsiani ^b, Hesameddin Safari ^c, Tanya Neeraj ^c, Seyed Ali Hosseini ^{c d}, Frank Beyrau ^b, Benoît Fond ^{b e}, Dominique Thévenin ^c, Fathollah Varnik ^a *

a Interdisciplinary Centre for Advanced Materials Simulation (ICAMS), Ruhr-University Bochum, Bochum, 44801, Germany
b Laboratory of Technical Thermodynamics, University of Magdeburg “Otto von Guericke”, Magdeburg, 39106, Germany
c Laboratory of Fluid Dynamics and Technical Flows, University of Magdeburg “Otto von Guericke”, Magdeburg, D-39106, Germany
d Department of Mechanical and Process Engineering, ETH Zurich, Zurich, 8092, Switzerland
e ONERA The French Aerospace Lab, Department of Aerodynamics, Aeroelasticity and Acoustics (DAAA), Paris-Saclay University, Meudon, 92190, France

10.1016/j.partic.2023.03.020

Volume 85, February 2024, Pages 186-197

Received 16 November 2022, Revised 17 February 2023, Accepted 16 March 2023, Available online 11 April 2023, Version of Record 5 May 2023.

E-mail: fathollah.varnik@rub.de

Highlights

• A compressible LB-FD method is extended by the phase field approach to account for solid bodies of arbitrary shape.

• Flow velocity and gas temperature have opposing effects on heat transfer rate of gas flow across arrays of hot cylinders.

• Heat transfer rate varies significantly with the shape and orientation of particles relative to the flow.

Abstract

A compressible lattice Boltzmann-finite difference method is extended by the phase-field approach into a monolithic scheme to study fluid flow and heat transfer through regular arrangements of solid bodies of circular, elliptical and irregular shapes. The advantage of using the phase-field method is demonstrated both in its simplicity of accounting for flow and thermal boundary conditions at solid surfaces with irregular shapes and in the capability of generating such complex-shaped objects. For an array of discs, numerical results for the overall solid-to-gas heat transfer rate are validated via experiments on flow through arrays of hot cylinders. The thus validated compressible LB-FD-PF hybrid scheme is used to study the dependence of heat transfer on flow and thermal boundary conditions (Reynolds number, temperature difference between the hot solid bodies and the inlet gas), porosity as well as on the shape of solid objects. Results are rationalized in terms of the residence time of the gas close to the solid body and downstream variations of gas velocity and temperature. Perspective for further applications of the proposed methodology are also discussed.

Graphical abstract

Keywords

Lattice Boltzmann method; Finite difference scheme; Convective heat transfer; Diffuse interface; Thermal compressible flow

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