Numerical simulation of MHD natural convection heat transfer in a square cavity filled with Carreau fluids under magnetic fields in different directions
| Autor: | Shuguang Li, Yu. I. Dimitrienko |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics
Natural convection Applied Mathematics Prandtl number Carreau fluid Laminar flow 02 engineering and technology Mechanics Rayleigh number 021001 nanoscience & nanotechnology 01 natural sciences 010305 fluids & plasmas Physics::Fluid Dynamics Computational Mathematics symbols.namesake 0103 physical sciences Heat transfer Newtonian fluid symbols Magnetohydrodynamic drive 0210 nano-technology |
| Zdroj: | Computational and Applied Mathematics. 39 |
| ISSN: | 1807-0302 2238-3603 |
| DOI: | 10.1007/s40314-020-01300-w |
| Popis: | In this paper, the laminar natural convection of non-Newtonian Carreau fluid in a square cavity under uniform magnetic field in different directions is investigated numerically. Based on the projection method, a new finite-difference algorithm on a staggered grid is employed to solve the laminar magnetohydrodynamic natural convection problems, which involves the second-order central scheme for the discretization of non-Newtonian viscous terms. To assess numerical capability of the newly proposed algorithm, the calculation results for Newtonian fluid in the square cavity show excellent agreement with results available in the literature. Research work has been performed for the certain pertinent parameters of Rayleigh number ( $$10^{4}$$ and $$10^{5}$$ ) and Prandtl number ( $$Pr=0.065$$ ) using the new numerical algorithm. The computed results show that the natural convection of Carreau fluid is not only determined by the strength of the magnetic field, but also influenced by the inclination angle. In particular, when the Carreau fluid describes a non-Newtonian fluid, it is found that the inclination angle plays a large role on flow and heat transfer. |
| Databáze: | OpenAIRE |
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