A macroscopic filtration model for natural convection in a Darcy Maxwell nanofluid saturated porous layer with no nanoparticle flux at the boundary

2017 ◽  
Vol 111 ◽  
pp. 451-466 ◽  
Author(s):  
Jaimala ◽  
Reema Singh ◽  
Vipin Kumar Tyagi
Keyword(s):  
Natural Convection ◽  
Porous Layer ◽  
Maxwell Nanofluid ◽  
Saturated Porous Layer ◽  
Filtration Model

Transient Natural Convection From a Vertically Embedded Heat Source in a Thermally Stratified Porous Layer

2008 ◽  
Author(s):  
J. Zhang ◽  
F. C. Lai
Keyword(s):  
Natural Convection ◽  
Heat Source ◽  
Porous Layer ◽  
Negative Temperature ◽  
Transient Natural Convection ◽  
Wide Range ◽  
Underground Disposal ◽  
Saturated Porous Layer ◽  
Induced Flow ◽  
The Heat Transfer Coefficient

Numerical results are presented for transient natural convection from a heat source vertically embedded in a saturated porous layer. The porous layer is initially thermally stratified with a negative temperature gradient. The effects of the source strength and its buried depth on the penetration of convective flows are investigated. The results, which include the buoyancy-induced flow patterns and temperature profiles, as well as the heat transfer coefficient in terms of the Nusselt number, are presented for a wide range of base Rayleigh number and stratification parameter. The results thus obtained have important implications for applications in geothermal energy and underground disposal of nuclear wastes.

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