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These concerns were qualified later by Lugeon tests in the boreholes showing permeabilities of 6 ×10−7 to 1.2 ×10−5 m/s (based on a hydraulic radius of 1 m; values result 2.4 times higher with an assumed radius of 100 m).
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Assume radius pipe, ft. Permeability is the constant proportionality parameter in Darcy's law, which relates discharge (flow rate) and fluid physical properties (e.g., viscosity) to a pressure gradient which applied to the porous media (Adeboye et al. 2012; Haro 2004; Rafik and Kamel 2017).
We accepted the average size at death as equivalent to a sphere of radius 3 cm (Woodward et al, 1996) and allowed the model to project each tumour at its estimated velocity v and to determine the time required to grow from its actual diagnostic T1-Gd radius to the assumed fatal radius of 3 cm.
Using heterodyne interferometry, they concluded that the red supergiant emits most of its excess beyond 12 stellar radii or roughly the distance of the Kuiper belt at 50 to 60 AU, depending on the assumed stellar radius.
The assumed reservoir radius is 5 mm.
With the obtained density distribution shown in Fig. 3 and with the assumed initial radii of the grains, the mean free path can be found to be smaller than their initial radii.
There is therefore no simple way to add a correction to the formula for the geometric horizon, though one may achieve an "average" correction by assuming a radius for the earth that is a bit greater than the true radius.
(Without loss of generality, we will assume the radius is 1, which can be done by normalizing the data by the radius).
We assumed that the radius R perc is the same for the pairs Fe-Fe, V(O -V(O -Vand V(O)-Fe.
Also if assuming a radius of one AU, then there may not be sufficient building material in the Solar System to construct a Dyson shell.
If assuming a radius of one AU, then the compressive strength of the material forming the sphere would have to be immense to prevent implosion due to the star's gravity.
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