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Cross-diffusion effects on the double-diffusive convection in a rotating vertical porous cylinder with vertical throughflow
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  • Osman Noreldin,
  • Smah Ali,
  • Precious Sibanda,
  • Hloniphile Sithole Mthethwa,
  • Munyaradzi Rudziva
Osman Noreldin
University of KwaZulu-Natal - Pietermaritzburg Campus

Corresponding Author:[email protected]

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Smah Ali
University of KwaZulu-Natal - Pietermaritzburg Campus
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Precious Sibanda
University of KwaZulu-Natal - Pietermaritzburg Campus
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Hloniphile Sithole Mthethwa
University of KwaZulu-Natal - Pietermaritzburg Campus
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Munyaradzi Rudziva
University of KwaZulu-Natal - Pietermaritzburg Campus
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Abstract

The impacts of vertical throughflow, rotation, cross-diffusion, and vertical heterogeneous permeability on the double-diffusive convection in a finite rotating vertical porous cylinder have been studied. The fluid in the cylinder is warmed and salted from beneath, and its top and lower walls are taken to be isothermal, isosolutal and permeable. In the model formulation, the Brinkman model was adopted, coupled with the Boussinesq approximation. The normal mode technique is used to perform linear stability analysis and single term Galerkin technique is employed to solve the eigenvalue problem. Further, the influence of vertical heterogeneity, vertical throughflow, thermal and solute Rayleigh, Taylor, and the Soret and Dufour numbers on the fluid system instability has been investigated. We found, among other results, that vertical heterogeneity may either stabilize or destabilize the fluid system. The Dufour number delays both the stationary and oscillatory convection onsets. The positive Soret number is found to have a stabilizing effect on the stationary convection case, with a destabilizing effect on the oscillatory convection case.
02 Jun 2023Submitted to Heat Transfer
02 Jun 2023Review(s) Completed, Editorial Evaluation Pending
02 Jun 2023Submission Checks Completed
02 Jun 2023Assigned to Editor
22 Jun 2023Reviewer(s) Assigned
12 Jul 2023Editorial Decision: Revise Minor
16 Aug 20231st Revision Received
17 Aug 2023Submission Checks Completed
17 Aug 2023Assigned to Editor
17 Aug 2023Review(s) Completed, Editorial Evaluation Pending
23 Aug 2023Reviewer(s) Assigned
30 Aug 2023Editorial Decision: Revise Minor
11 Sep 20232nd Revision Received
11 Sep 2023Submission Checks Completed
11 Sep 2023Assigned to Editor
11 Sep 2023Review(s) Completed, Editorial Evaluation Pending
13 Sep 2023Reviewer(s) Assigned
16 Sep 2023Editorial Decision: Revise Minor
24 Oct 20233rd Revision Received
24 Oct 2023Review(s) Completed, Editorial Evaluation Pending
24 Oct 2023Submission Checks Completed
24 Oct 2023Assigned to Editor
24 Oct 2023Editorial Decision: Accept