On the oscillatory modes of compressible thermal convection in inclined differentially heated cavities

Lappa, Marcello and Gradinscak, Tomislav (2018) On the oscillatory modes of compressible thermal convection in inclined differentially heated cavities. International Journal of Heat and Mass Transfer, 121. pp. 412-436. ISSN 0017-9310

[thumbnail of Lappa-Gradinscak-IJHMT-2017-oscillatory-modes-of-compressible-thermal-convection-in-inclined-differentially-heated-cavities]
Preview
 Text (Lappa-Gradinscak-IJHMT-2017-oscillatory-modes-of-compressible-thermal-convection-in-inclined-differentially-heated-cavities)
Lappa_Gradinscak_IJHMT_2017_oscillatory_modes_of_compressible_thermal_convection_in_inclined_differentially_heated_cavities.pdf
Accepted Author Manuscript
License: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 logo
Download (8MB)| Preview

    Abstract

    We consider the case of a tall differentially heated cavity (containing air) for which the buoyancy flow is in the so-called boundary-layer regime (displaying thin regions featured by strong temperature gradients adjacent to the vertical walls and thermally stratified fluid in the centre). By using a numerical method able to account for compressibility and variable viscosity effects, we investigate the response of such a system to the application of temperature differences in a range of characteristic numbers for which the resulting flow is expected to be time-periodic or highly time-dependent. More precisely, the problem is examined by allowing both the Rayleigh number and the inclination (teta) of this configuration with respect to the vertical direction to span relatively wide intervals (1.8x10^5<=Ra<=3x10^6, -90<=teta<=90). Insights into the influence of variable thermodynamic properties are obtained by comparing such numerical results with equivalent simulations based on the classical Boussinesq approximation. The evolution of the considered system towards a fully turbulent state is also discussed to a certain extent.

    ORCID iDs

    Lappa, Marcello ORCID logoORCID: https://orcid.org/0000-0002-0835-3420 and Gradinscak, Tomislav;
    • Item type:Article
      ID code:62656
      Dates:
      Date
      Event
      30 June 2018
      Published
      10 January 2018
      Published Online
      19 December 2017
      Accepted
      Keywords:differentially heated cavity, buoyancy flow, numerical method , compressibility, variable viscosity, Mechanical engineering and machinery, Aerospace Engineering, Fluid Flow and Transfer Processes
      Subjects:Technology > Mechanical engineering and machinery
      Department:Faculty of Engineering > Mechanical and Aerospace Engineering
      Depositing user: Pure Administrator
      Date deposited:19 Dec 2017 13:37
      Last modified:23 Sep 2021 06:30
      Related URLs:
      URI:https://strathprints.strath.ac.uk/id/eprint/62656
    CORE (COnnecting REpositories)