Lattice Boltzmann Method for Evaluating Hydraulic Conductivity of Finite Array of Spheres

<table>Experimental and simulated results of the hydraulic conductivity (<i>K</i>), glycerin experimental viscosity (<svg height="7.4250002" id="M126" style="vertical-align:-0.11285pt" version="1.1" viewbox="0 0 8.0375004 7.4250002" width="8.0375004" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.425)">
<g transform="translate(72,-66.06)">
<text transform="matrix(1,0,0,-1,-71.95,66.22)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑣</tspan>
</text>
</g>
</g>
</svg>), and experimental porosity (<svg height="13.425" id="M127" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 10.2 13.425" width="10.2" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.425)">
<g transform="translate(72,-61.26)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜙</tspan>
</text>
</g>
</g>
</svg>) for: (a) OO arrangement; (b) QQ arrangement, and (c) QU arrangement. <i>D</i>34 and <i>D</i>122 represent the spheres diameter (<i>D</i>) with 34 and 122 sites.</table>

The Scientific World Journal

fig4

Figure 4

Figure 4: Lattice Boltzmann Method for Evaluating Hydraulic Conductivity of Finite Array of Spheres 