Finite element method (FEM) analyses of the entropy and convective process within an inclined porous T-shaped domain using nano-encapsulated phase change materials (NEPCMs). (English) Zbl 1537.76070
Summary: Numerical treatments based on the finite element method (FEM) are carried out for the entropy generation and convective process within inclined T-shaped enclosures using the nano-encapsulated phase change materials (NEPCMs). The domain is filled by glass balls as a porous medium and the Brinkman-extended non-Darcy model is applied. For the worked mixture, the overall heat capacity of the encapsulated nanoparticles is estimated using the heat capacity of the core and shell and sine profiles are introduced for the latent heat of the change phase. Three different designs are performed for the considered geometry based on the aspect ratio of the boundaries. During the simulations, various values of the fusion temperature \({t_f}\;({0.05 \le{t_f} \le 0.95})\), the inclination angle \(\gamma\) \(({0 \le \gamma \le \pi /2})\) and different designs of the considered domain \(({{D_1},\;{D_2},\;{D_3}})\) are taken into account and the Ryleigh-Darcy number \(R{a_m}\) is varied between \(10^2\) and \(10^4\). The main outcomes disclosed that, for the fixed values of \(R{a_m}\;({R{a_m} = \;100})\) and \(\gamma\) \((\gamma \; = \frac{\pi}{3})\), the increase in the fusion temperature \({t_f}\) causes a shifting of the melting-solidification zones from the top boundary to the bottom of the horizontal channel.
© 2022 Wiley-VCH GmbH.
© 2022 Wiley-VCH GmbH.
MSC:
| 76M10 | Finite element methods applied to problems in fluid mechanics |
| 76T99 | Multiphase and multicomponent flows |
| 76S05 | Flows in porous media; filtration; seepage |
| 80A19 | Diffusive and convective heat and mass transfer, heat flow |
| 80A22 | Stefan problems, phase changes, etc. |
Keywords:
Brinkman-extended non-Darcy model; fusion temperature; inclination angle; melting-solidification zoneReferences:
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