Influence of Multiscale Roughness Patterns in Cavitated Flows: Applications to Journal Bearings

<table>Journal bearing device: (1) external cylinder, with radius   <svg height="14.3625" id="M14" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 17.450001 14.3625" width="17.450001" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.3625)">
<g transform="translate(72,-60.51)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑅</tspan>
</text>
<text transform="matrix(1,0,0,-1,-62.7,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑏</tspan>
</text>
</g>
</g>
</svg>, (2) shaft, with radius   <svg height="16.2875" id="M15" style="vertical-align:-4.77652pt" version="1.1" viewbox="0 0 17.225 16.2875" width="17.225" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.2875)">
<g transform="translate(72,-58.97)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑅</tspan>
</text>
<text transform="matrix(1,0,0,-1,-62.7,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑗</tspan>
</text>
</g>
</g>
</svg>, (3) lubricant, and (4) axial supply groove   <svg height="14.525" id="M16" style="vertical-align:-4.77652pt" version="1.1" viewbox="0 0 17.575001 14.525" width="17.575001" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.525)">
<g transform="translate(72,-60.38)">
<text transform="matrix(1,0,0,-1,-71.95,63.67)">
<tspan style="font-size: 12.50px; " x="0" y="0">Γ</tspan>
</text>
<text transform="matrix(1,0,0,-1,-64.61,60.55)">
<tspan style="font-size: 8.75px; " x="0" y="0">⋆</tspan>
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</g>
</g>
</svg>.</table>

Mathematical Problems in Engineering

fig1

Figure 1

Figure 1: Influence of Multiscale Roughness Patterns in Cavitated Flows: Applications to Journal Bearings 