scholarly journals Numerical experiments on convective heat transfer in water-saturated porous media at near-critical conditions

1990 ◽  
Vol 5 (3) ◽  
pp. 299-323 ◽  
Author(s):  
B. L. Cox ◽  
K. Pruess
Keyword(s):  
Heat Transfer ◽  
Porous Media ◽  
Convective Heat Transfer ◽  
Convective Heat ◽  
Numerical Experiments ◽  
Critical Conditions ◽  
Saturated Porous Media ◽  
Water Saturated

INTERFACIAL CONVECTIVE HEAT TRANSFER FOR RANDOMLY GENERATED POROUS MEDIA

2018 ◽  
Vol 49 (1) ◽  
pp. 77-90
Author(s):  
Eren Ucar ◽  
Moghtada Mobedi ◽  
Azita Ahmadi
Keyword(s):  
Heat Transfer ◽  
Porous Media ◽  
Convective Heat Transfer ◽  
Convective Heat

scholarly journals Data-Driven Reduced-Order Modeling of Convective Heat Transfer in Porous Media

Fluids ◽  
2021 ◽  
Vol 6 (8) ◽  
pp. 266
Author(s):  
Péter German ◽  
Mauricio E. Tano ◽  
Carlo Fiorina ◽  
Jean C. Ragusa
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Porous Media ◽  
Steady State ◽  
Convective Heat Transfer ◽  
Convective Heat ◽  
Data Driven ◽  
Reduced Order ◽  
Medium Formulation ◽  
Flow Resistances

This work presents a data-driven Reduced-Order Model (ROM) for parametric convective heat transfer problems in porous media. The intrusive Proper Orthogonal Decomposition aided Reduced-Basis (POD-RB) technique is employed to reduce the porous medium formulation of the incompressible Reynolds-Averaged Navier–Stokes (RANS) equations coupled with heat transfer. Instead of resolving the exact flow configuration with high fidelity, the porous medium formulation solves a homogenized flow in which the fluid-structure interactions are captured via volumetric flow resistances with nonlinear, semi-empirical friction correlations. A supremizer approach is implemented for the stabilization of the reduced fluid dynamics equations. The reduced nonlinear flow resistances are treated using the Discrete Empirical Interpolation Method (DEIM), while the turbulent eddy viscosity and diffusivity are approximated by adopting a Radial Basis Function (RBF) interpolation-based approach. The proposed method is tested using a 2D numerical model of the Molten Salt Fast Reactor (MSFR), which involves the simulation of both clean and porous medium regions in the same domain. For the steady-state example, five model parameters are considered to be uncertain: the magnitude of the pumping force, the external coolant temperature, the heat transfer coefficient, the thermal expansion coefficient, and the Prandtl number. For transient scenarios, on the other hand, the coastdown-time of the pump is the only uncertain parameter. The results indicate that the POD-RB-ROMs are suitable for the reduction of similar problems. The relative L2 errors are below 3.34% for every field of interest for all cases analyzed, while the speedup factors vary between 54 (transient) and 40,000 (steady-state).

Convective Heat Transfer in Porous Media

1979 ◽  
Vol 101 (3) ◽  
pp. 507-510 ◽  
Author(s):  
Ali Montakhab
Keyword(s):  
Heat Transfer ◽  
Porous Media ◽  
Energy Storage ◽  
Convective Heat Transfer ◽  
Convective Heat ◽  
Thermal Energy ◽  
Thermal Energy Storage ◽  
Storage Systems ◽  
Energy Storage Systems ◽  
Thermal Energy Storage Systems

Convective heating or cooling of granular solids or porous media is of interest in the design of thermal energy storage systems. The solutions to the energy initial boundary value problems governing convective heat transfer between a fixed bed of granular solids and a steady flow of heating or cooling fluid are presented. The storage system is considered to be initially in thermal equilibrium at a uniform temperature, a step change in the inlet temperature of the working fluid is imposed, and the thermal response of the system predicted. The results are valid for gases and liquids when the temperature gradient in the solid material is small and axial conduction effect is negligible in comparison with the convective heat transfer. Unlike the previously available solutions to this problem, the results presented are in closed form. This greatly simplifies evaluation and design of thermal energy storage systems of this general type.

The effects of significant viscosity variation on convective heat transport in water-saturated porous media

1982 ◽  
Vol 117 ◽  
pp. 233-249 ◽  
Author(s):  
J. Gary ◽  
D. R. Kassoy ◽  
H. Tadjeran ◽  
A. Zebib
Keyword(s):  
Porous Media ◽  
Nusselt Number ◽  
Finite Difference ◽  
Heat Transport ◽  
Convective Heat ◽  
Temperature Difference ◽  
Saturated Porous Media ◽  
Weakly Nonlinear ◽  
Weakly Nonlinear Theory ◽  
Water Saturated

Weakly nonlinear theory and finite-difference calculations are used to describe steadystate and oscillatory convective heat transport in water-saturated porous media. Two-dimensional rolls in a rectangular region are considered when the imposed temperature difference between the horizontal boundaries is as large as 200 K, corresponding to a viscosity ratio of about 6·5. The lowest-order weakly nonlinear results indicate that the variation of the Nusselt number with the ratio of the actual Rayleigh number to the corresponding critical value R/Rc, is independent of the temperature difference for the range considered. Results for the Nusselt number obtained from finite-difference solutions contain a weak dependence on temperature difference which increases with the magnitude of R/Rc. When R/Rc = 8 the constantviscosity convection pattern is steady, while those with temperature differences of 100 and 200 K are found to oscillate.

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