Analytical study of triple diffusive convection in a bi-viscous Bingham fluid layer using Ginzburg-Landau model

Abstract

In this paper, considering bi-viscous Bingham as the base fluid, we study the thermophysical-properties (such as density, specific heat, thermal conductivity, thermal diffusivity, and thermal expansion) with different combinations of salts among NaCl, KCl, CaCl₂, and NaCl₂ of triple diffusive convection in a bi-viscous Bingham fluid layer with heat as one of the diffusing components. A weakly non-linear case is formulated to facilitate a solution to the problem using a series solution Ginzburg-Landau model. With regard to single, double, and triple diffusive convection, the tables are made to record the actual values of thermophysical-properties together with the critical Rayleigh-number for each combination of aqueous-salt solutions. This computation calculates the mean Nusselt and Sherwood numbers to quantify the system’s heat- and mass-transfers for various aqueous-solutions. The effect of the bi-viscous Bingham fluid parameter, for small and large values, for different aqueous-solutions, in single, double, and triple diffusive convection has been captured via 2-dimensional (2D) and 3-dimensional (3D) figures and the results are recorded and compared. The investigation reveals that the heat- and mass-transfers increase with an increase or decrease in the bi-viscous Bingham fluid parameter, which in turn depends on the values of ${\mathcal{R}}_{{\mathcal{S}}_1}$ and ${\mathcal{R}}_{{\mathcal{S}}_2}.$ The results confirm that the heat- and mass-transfers are least for the combination of KCl with CaCl₂ and maximum for the combination of NaCl with other salts.

Keywords:

• Aqueous-solutions
• bi-viscous bingham fluid
• triple diffusive convection
• Ginzburg-Landau method
• Nusselt and Sherwood numbers
• thermophysical-properties

Acknowledgement

The authors would like to acknowledge the CHRIST (Deemed to be University) for their support in this work.

Author contributors

All the authors in the paper contributed equally to this work.

Data availability

Not applicable.

Disclosure statement

The authors declare that they have no potential conflict of interest.

Additional information

Funding

This study was not funded by any agency.