2020
DOI: 10.1007/s42452-020-2319-x
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MHD natural convection and entropy generation in a grooved enclosure filled with nanofluid using two-component non-homogeneous model

Abstract: In this paper, a computational study of natural convection in a grooved enclosure filled with water-based nanofluid in the presence of external magnetic field is numerically investigated. Two-component non-homogeneous model is introduced to develop the governing partial differential equations. Galerkin finite element method is used to solve the governing equations. The computation is carried out for a wide range of governing parameters such as Rayleigh number (10 3 ≤ Ra ≤ 10 6), magnetic field parameter (10 ≤ … Show more

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Cited by 10 publications
(3 citation statements)
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“…Finally, these linear equations are solved by employing the triangular factorization method and reduced integration method expressed by Zeinkiewicz et al [55]. Te convergence criterion of the numerical solution along with error estimation has been set to |φ m+1 − φ m | ≤ 10 − 5 , where m is the number of iteration and φ is a function of U, V, and θ. Te details of the computational procedure are also available in the earlier studies [32,56,57], which are well described in [58,59]. Te simple algorithm of this study is exposed through the following fowchart (in Figure 2):…”
Section: Evaluation Of Average Nusselt Number Te Local Nusseltmentioning
confidence: 99%
“…Finally, these linear equations are solved by employing the triangular factorization method and reduced integration method expressed by Zeinkiewicz et al [55]. Te convergence criterion of the numerical solution along with error estimation has been set to |φ m+1 − φ m | ≤ 10 − 5 , where m is the number of iteration and φ is a function of U, V, and θ. Te details of the computational procedure are also available in the earlier studies [32,56,57], which are well described in [58,59]. Te simple algorithm of this study is exposed through the following fowchart (in Figure 2):…”
Section: Evaluation Of Average Nusselt Number Te Local Nusseltmentioning
confidence: 99%
“…Electrical and magnetic fields have an effect 181 on such fluids. MHD natural convection in the presence of an external magnetic field with waterbased nanofluid was studied by Ali et al, [24]. Here, the author develops the governing partial differential equations with a two-component non-homogeneous model and applied Galerkin finite element method to obtain the solution of the models.…”
Section: Introductionmentioning
confidence: 99%
“…GOE is a measure of irreversibility and energy loss in the system. Accordingly, in addition to HTR, GOE has also been investigated in numerous studies [39][40][41][42][43][44][45]. Zhou et al [46] studied HTR and GOE in a nanofluid-filled cavity at a Grashof number (Ga) of 10 4 -10 6 and a nanoparticle volume fraction of 0.01-0.15%.…”
Section: Introductionmentioning
confidence: 99%