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

<table>Media built with one solid layer (SL) of four spheres (a) <svg height="10.6875" id="M122" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 39.674999 10.6875" width="39.674999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.6875)">
<g transform="translate(72,-63.45)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐷</tspan>
<tspan style="font-size: 12.50px; " x="13.340701" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="25.38109" y="0">1</tspan>
</text>
</g>
</g>
</svg>, (b) <svg height="11.1" id="M123" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 39.674999 11.1" width="39.674999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.1)">
<g transform="translate(72,-63.12)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐷</tspan>
<tspan style="font-size: 12.50px; " x="13.340701" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="25.38109" y="0">5</tspan>
</text>
</g>
</g>
</svg>, (c) <svg height="10.6875" id="M124" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 47.487499 10.6875" width="47.487499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.6875)">
<g transform="translate(72,-63.45)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐷</tspan>
<tspan style="font-size: 12.50px; " x="13.340701" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="25.38109" y="0">4</tspan>
<tspan style="font-size: 12.50px; " x="31.632589" y="0">1</tspan>
</text>
</g>
</g>
</svg>, and (d) <svg height="10.6875" id="M125" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 55.299999 10.6875" width="55.299999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.6875)">
<g transform="translate(72,-63.45)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐷</tspan>
<tspan style="font-size: 12.50px; " x="13.340701" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="25.38109" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="31.632589" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="37.88409" y="0">1</tspan>
</text>
</g>
</g>
</svg>. The flow occurs coming in (or out) the leaf.</table>

The Scientific World Journal

fig3

Figure 3

Figure 3: Lattice Boltzmann Method for Evaluating Hydraulic Conductivity of Finite Array of Spheres 