Forchheimer and Brinkman extended Darcy flow model on natural convection in a vertical cylindrical porous annulus

1995 ◽  
Vol 109 (1-4) ◽  
pp. 41-48 ◽  
Author(s):  
D. R. Marpu
2013 ◽  
Vol 100 (2) ◽  
pp. 321-335 ◽  
Author(s):  
Sangita ◽  
M. K. Sinha ◽  
R. V. Sharma

2008 ◽  
Vol 273-276 ◽  
pp. 28-33 ◽  
Author(s):  
Djamel Eddine Ameziani ◽  
K. Bouhadef ◽  
Rachid Bennacer

The problem of unsteady natural convection heat transfer in a vertical opened porous cylinder submitted to a sinusoidal time variation temperature on the lateral wall has been investigated numerically. The widely used Darcy flow model without flow establishment at the cylinder exit has been used. In the case of constant wall temperature, two types of flows were obtained, with and without fluid recirculation, depending on the filtration Rayleigh number (Ra), the aspect ratio (A) and the Biot number (Bi) have been obtained. The obtained heat transfer, in case of low dimensionless oscillations amplitude (XA<0.5), shows a non significant enhancement (less than 5%) in comparison to the constant wall temperature case.


2020 ◽  
Vol 1622 ◽  
pp. 012122
Author(s):  
Meifang Li ◽  
Zhiguo Miao ◽  
Xianbao Zheng ◽  
Min Li ◽  
Shihua Jia ◽  
...  

1987 ◽  
Vol 112 ◽  
Author(s):  
David F. Mctigue ◽  
E. James Nowak

AbstractBrine flow has been measured to unheated boreholes for periods of a few days and to heated holes for two years in the WIPP facility. It is proposed that Darcy flow may dominate the observed influx of brine. Exact solutions to a linearized model for one-dimensional, radial flow are evaluated for conditions approximating the field experiments. Flow rates of the correct order of magnitude are calculated for permeabilities in the range 10−21–1020 m2 (1–10 nanodarcy) for both the unheated and heated cases.


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