Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 76, 2019 - Issue 10
184
Views
9
CrossRef citations to date
0
Altmetric
Original Articles

Modeling of heat and fluid flow in granular layers using high-order compact schemes and volume penalization method

ORCID Icon & ORCID Icon
Pages 737-759 | Received 05 Jun 2019, Accepted 10 Sep 2019, Published online: 20 Sep 2019
 

Abstract

The article presents a novel computational algorithm for modeling of heat and mass transfer processes around neighboring solid objects and inside granular layers. It is based on a volume penalization approach formulated in the framework of an immersed boundary technique, which allows using Cartesian computational meshes for modeling of solid objects with virtually arbitrarily complex shapes and in any form of contact (point-to-point, point-to-surface, etc.). The spatial discretization is performed using a high-order compact discretization/interpolation method on the meshes in which the locations of velocity, density, and temperature are partially staggered with respect to the locations of pressure nodes. Compared to the conventional collocated node arrangement, the present approach has a stabilizing effect, which is very desirable in case of a sudden change of geometry inside the computational grids, especially when high-order discretization is applied. The formulated algorithm is verified based on the following test cases: (i) three hot solid spherical objects immersed in a stream of cold flow; (ii) two granular beds with hundreds of hot solid objects placed in a flowing cold fluid. The results are compared to the solutions obtained using ANSYS-Fluent software and experimental data. In all the cases, the agreement of the results is very good.

Additional information

Funding

This work was supported by National Science Center, Poland (grant no. 2017/27/N/ST8/02318) and statutory funds of Czestochowa University of Technology under BS/MN 1-103-301/2018/P. PL-Grid infrastructure was used to carry out the computations.

Log in via your institution

Log in to Taylor & Francis Online

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 716.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.