University of Tasmania
Browse

File(s) under embargo

11

day(s)

until file(s) become available

Internally heated convection of viscoplastic fluids in enclosures using a lattice Boltzmann method

journal contribution
posted on 2023-05-21, 15:47 authored by Gholamreza KefayatiGholamreza Kefayati
Thermal convection driven by an internal heat source in a two-dimensional enclosure filled with viscoplastic fluids is investigated numerically. Two vertical side walls of the cavity are isotherms with the same low temperatures, while the horizontal walls are adiabatic and insulated. An exact Bingham model is applied in the constitutive equation for the viscoplastic fluid. A lattice Boltzmann method (LBM) is developed to solve the introduced non-dimensional macroscopic equations, and the derivations of the LBM are presented and discussed. The implemented LBM is validated against previous studies of internal natural convection. The effects of the Rayleigh–Roberts number, the Prandtl number, the aspect ratio of the cavity, and the inclined angle of the enclosure on the yielded/unyielded parts are investigated and reported. The maximum (or critical) Bingham (Bn) and yield (Y) numbers for the studied parameters are investigated through the defined Nusselt number. The results are depicted by the contours of isotherms, streamlines, yielded/unyielded zones, vorticity, and horizontal and vertical velocities. In addition, the temperatures and velocities in the middle of the cavity as well as the Nusselt number are shown and discussed. It was revealed that the maximum (or critical) yield number is independent of Rayleigh–Roberts and Prandtl numbers same as external natural convection. The values of the critical yield number decrease gradually as the inclined angle rises counterclockwise. However, the critical yield number enhances with the increase in the aspect ratio although the augmentation is not linear and steady.

History

Publication title

Physics of Fluids

Volume

35

Article number

013108

Number

013108

Pagination

1-22

ISSN

1089-7666

Department/School

School of Engineering

Publisher

AIP Publishing LLC

Place of publication

United States

Rights statement

© 2023 Author(s). Published under an exclusive license by AIP Publishing.

Repository Status

  • Restricted

Socio-economic Objectives

Honey; Geothermal exploration; Geological hazards (e.g. earthquakes, landslides and volcanic activity)

Usage metrics

    University Of Tasmania

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC