Natural double-diffusive convection for the Carreau shear-thinning fluid in a square cavity submitted to horizontal temperature and concentration gradients
| Autor: | M. Lamsaadi, M. Kaddiri, T. Makayssi |
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| Rok vydání: | 2021 |
| Předmět: |
Natural convection
Shear thinning Materials science Applied Mathematics Mechanical Engineering General Chemical Engineering Prandtl number Carreau fluid Rayleigh number Mechanics Condensed Matter Physics Lewis number Physics::Fluid Dynamics symbols.namesake symbols General Materials Science Boundary value problem Double diffusive convection |
| Zdroj: | Journal of Non-Newtonian Fluid Mechanics. 297:104649 |
| ISSN: | 0377-0257 |
| Popis: | We study heat and mass transfers by natural convection for shear-thinning non-Newtonian binary fluids confined in a square cavity. Thermal and solutal boundary conditions of the Dirichlet type are applied on the vertical walls of the cavity while the horizontal ones are assumed adiabatic and impermeable. We used the rheological Carreau model, adequate for many non-Newtonian fluids to characterize the shear-thinning behavior. The first part from this study is devoted to the numerical solution of the governing equations, and the effect of the governing parameters, namely, the thermal Rayleigh number RaT, Prandtl number Pr, Lewis number Le, buoyancy ratio N and the various parameters of Carreau model. Numerical calculations are also carried out by considering the same problem on the basis of the power-law model, and a comparison of the results predicted by the two rheological models is performed. In the second part, a scale analysis is proposed to obtain correlations giving the heat and mass transfers. The results of this approach are validated numerically and a good agreement is found between the two methods. |
| Databáze: | OpenAIRE |
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